Electronic structure of the semimetals Bi and Sb
Abstract
We have developed a third-neighbor tight-binding model, with spin-orbit coupling included, to treat the electronic properties of Bi and Sb. This model successfully reproduces the features near the Fermi surface that will be most important in semimetal-semiconductor device structures, including (a) the small overlap of valence and conduction bands, (b) the electron and hole effective masses, and (c) the shapes of the electron and hole Fermi surfaces. The present tight-binding model treats these semimetallic properties quantitatively, and it should, therefore, be useful for calculations of the electronic properties of proposed semimetal-semiconductor systems, including superlattices and resonant-tunneling devices.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Bismuth's band structure features an indirect negative gap between the valence band maximum at the T point of the bulk Brillouin zone and the conduction band minima at three equivalent L points.
“Its band structure features an indirect negative gap between the valence band maximum at the T point of the bulk Brillouin zone (BZ) and the conduction band minima at three equivalent L points (17).”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [17]
Cites
Simplified LCAO Method for the Periodic Potential Problem
Slater, J. C., & Koster, G. F. (1954) · Physical Review · doi:10.1103/physrev.94.1498 · Cited by 5,211 · see citing works
Löwdin, P. (1950) · The Journal of Chemical Physics · doi:10.1063/1.1747632 · Cited by 3,170 · see citing works
A Semi-empirical tight-binding theory of the electronic structure of semiconductors†
Vogl, P., Hjalmarson, H. P., & Dow, J. D. (1983) · Journal of Physics and Chemistry of Solids · doi:10.1016/0022-3697(83)90064-1 · Cited by 1,447 · see citing works
Electronic Structure and Properties of Solids
Burdett, J. K. (1996) · The Journal of Physical Chemistry · doi:10.1021/jp953650b · Cited by 783 · see citing works
Spin-orbit splitting in crystalline and compositionally disordered semiconductors
Chadi, D. J. (1977) · Physical review. B, Solid state · doi:10.1103/physrevb.16.790 · Cited by 560 · see citing works
Hicks, L. D., Harman, T. C., & Dresselhaus, M. S. (1993) · Applied Physics Letters · doi:10.1063/1.110207 · Cited by 540 · see citing works
Liberman, D. A., Waber, J. T., & CROMER, D. T. (1965) · Physical Review · doi:10.1103/physrev.137.a27 · Cited by 502 · see citing works
Effective g Factor of Electrons and Holes in Bismuth
Smith, G., Baraff, G. A., & Rowell, J. M. (1964) · Physical Review · doi:10.1103/physrev.135.a1118 · Cited by 375 · see citing works
Band mixing in semiconductor superlattices
Schulman, J. N., & Chang, Y. (1985) · Physical review. B, Condensed matter · doi:10.1103/physrevb.31.2056 · Cited by 310 · see citing works
Semimetal-to-semiconductor transition in bismuth thin films
Hoffman, C. A., Meyer, J. R., Bartoli, F. J., Venere, A. D., Yi, X., Hou, C. L., Wang, H. C., Ketterson, J. B., & Wong, G. K. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.11431 · Cited by 260 · see citing works
Band Structure of Bismuth: Pseudopotential Approach
Golin, S. (1968) · Physical Review · doi:10.1103/physrev.166.643 · Cited by 212 · see citing works
Edel'man, V. S. (1976) · Advances In Physics · doi:10.1080/00018737600101452 · Cited by 208 · see citing works
Low Temperature Transport Properties of the Group V Semimetals
Issi, J.-P. (1979) · Australian Journal of Physics · doi:10.1071/ph790585 · Cited by 198 · see citing works
Electronic States in Semiconductor Heterostructures
Bastard, G., Brum, J. A., & Ferreira, R. (1991) · Solid state physics · doi:10.1016/s0081-1947(08)60092-2 · Cited by 197 · see citing works
Band Structure and Fermi Surface of Antimony: Pseudopotential Approach
Falicov, L. M., & Lin, P. J. (1966) · Physical Review · doi:10.1103/physrev.141.562 · Cited by 171 · see citing works
First-principles study of As, Sb, and Bi electronic properties
Gonze, X., Michenaud, J.-P., & Vigneron, J. P. (1990) · Physical review. B, Condensed matter · doi:10.1103/physrevb.41.11827 · Cited by 167 · see citing works
Ley, L., Pollak, R. A., Kowalczyk, S. P., McFeely, R., & Shirley, D. A. (1973) · Physical review. B, Solid state · doi:10.1103/physrevb.8.641 · Cited by 152 · see citing works
Bond-orbital models for superlattices
Chang, Y. (1988) · Physical review. B, Condensed matter · doi:10.1103/physrevb.37.8215 · Cited by 142 · see citing works
Electronic Band Structure of Arsenic. I. Pseudopotential Approach
Falicov, L. M., & Golin, S. (1965) · Physical Review · doi:10.1103/physrev.137.a871 · Cited by 138 · see citing works
Temperature dependence of the band parameters of bismuth
Vecchi, M. P., & Dresselhaus, M. S. (1974) · Physical review. B, Solid state · doi:10.1103/physrevb.10.771 · Cited by 129 · see citing works
de Haas-van Alphen Effect and Fermi Surface in Antimony
Windmiller, L. R. (1966) · Physical Review · doi:10.1103/physrev.149.472 · Cited by 121 · see citing works
Brown, R. N., Mavroides, J. G., & Lax, B. (1963) · Physical Review · doi:10.1103/physrev.129.2055 · Cited by 121 · see citing works
Isaacson, R. T., & Williams, G. A. (1969) · Physical Review · doi:10.1103/physrev.185.682 · Cited by 115 · see citing works
Magnetoreflection Studies in Bismuth
Maltz, M., & Dresselhaus, M. S. (1970) · Physical review. B, Solid state · doi:10.1103/physrevb.2.2877 · Cited by 89 · see citing works
Electronic Structure of Bismuth Type Crystals
Mase, S. (1958) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.13.434 · Cited by 82 · see citing works
Tight-binding model with intra-atomic matrix elements
Mercer, J. L., & Chou, M. Y. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.49.8506 · Cited by 71 · see citing works
Tight-binding theory of the electronic structures for rhombohedral semimetals
Xu, J., Wang, E. G., Ting, C. S., & Su, W. P. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.17271 · Cited by 66 · see citing works
Cyclotron Resonance and the Fermi Surface of Antimony
Datars, W. R., & Vanderkooy, J. (1964) · IBM Journal of Research and Development · doi:10.1147/rd.83.0247 · Cited by 62 · see citing works
Electronic Structure of Bismuth Type Crystals, II
Mase, S. (1959) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.14.584 · Cited by 54 · see citing works
Galvanomagnetic Effects and the Band Structure of Antimony
Freedman, S. J., & Juretschke, H. J. (1961) · Physical Review · doi:10.1103/physrev.124.1379 · Cited by 51 · see citing works
Alfvén-Wave Propagation in Solid-State Plasmas. II. Bismuth
Isaacson, R. T., & Williams, G. A. (1969) · Physical Review · doi:10.1103/physrev.177.738 · Cited by 45 · see citing works
de Haas-Shubnikov Effect in Antimony
Ketterson, J. B., & Eckstein, Y. (1963) · Physical Review · doi:10.1103/physrev.132.1885 · Cited by 43 · see citing works
Optical properties of crystalline and amorphous bismuth films
Hunderi, O. D. (1975) · Journal of Physics F Metal Physics · doi:10.1088/0305-4608/5/11/034 · Cited by 43 · see citing works
Nonlinear band-parameter variations in dilute bismuth-antimony alloys
Chao, P.-W., Chu, H. T., & Kao, Y. H. (1974) · Physical review. B, Solid state · doi:10.1103/physrevb.9.4030 · Cited by 42 · see citing works
Electron band model of bismuth by magnetic surface resonance
Takaoka, S., Kawamura, H., Murase, K., & Takano, S. (1976) · Physical review. B, Solid state · doi:10.1103/physrevb.13.1428 · Cited by 35 · see citing works
Modulated Piezoreflectance in Bismuth
Wang, P. Y., & Jain, A. L. (1970) · Physical review. B, Solid state · doi:10.1103/physrevb.2.2978 · Cited by 32 · see citing works
Far-infrared magnetospectroscopy of the hole pocket in bismuth. I. Band-structure effects
Verdún, H. R., & Drew, H. D. (1976) · Physical review. B, Solid state · doi:10.1103/physrevb.14.1370 · Cited by 31 · see citing works
A theoretical investigation of the fermi surfaces of bismuth and antimony
Rose, J., & Schuchardt, R. (1983) · physica status solidi (b) · doi:10.1002/pssb.2221170122 · Cited by 31 · see citing works
Observation of Interband Transitions in Antimony
Dresselhaus, M. S., & Mavroides, J. G. (1965) · Physical Review Letters · doi:10.1103/physrevlett.14.259 · Cited by 31 · see citing works
Galvanomagnetic Studies of Sn-Doped Bi. II. Negative Fermi Energies
Bate, R. T., Einspruch, N. G., & May, P. J. (1969) · Physical Review · doi:10.1103/physrev.186.599 · Cited by 31 · see citing works
Fermi Surface of Antimony: Radio-Frequency Size Effect
Herrod, R. A., Gage, C. A., & Goodrich, R. G. (1971) · Physical review. B, Solid state · doi:10.1103/physrevb.4.1033 · Cited by 25 · see citing works
Shin, S. C., Hilliard, J. E., & Ketterson, J. B. (1984) · Journal of Vacuum Science & Technology A Vacuum Surfaces and Films · doi:10.1116/1.572585 · Cited by 23 · see citing works
Polarity inversion of CdTe(111) orientation grown on Bi (00.1) by molecular beam epitaxy
DiVenere, A., Yi, X. J., Hou, C. L., Wang, H. C., Ketterson, J. B., Wong, G. K., & Sou, I. K. (1993) · Applied Physics Letters · doi:10.1063/1.109271 · Cited by 23 · see citing works
Golding, T. D., Dura, J. A., Wang, H., Zborowski, J. T., Vigliante, A., Chen, H., Miller, J. H., & Meyer, J. R. (1993) · Semiconductor Science and Technology · doi:10.1088/0268-1242/8/1s/026 · Cited by 18 · see citing works
Meyer, J. R., Bartoli, F. J., Youngdale, E. R., & Hoffman, C. A. (1991) · Journal of Applied Physics · doi:10.1063/1.349110 · Cited by 16 · see citing works
Magneto-optical determination of theT-point energy gap in bismuth
Omaggio, J. P., Meyer, J. R., Hoffman, C. A., DiVenere, A., Yi, X., Hou, C. L., Wang, H. C., Ketterson, J. B., Wong, G. K., & Heremans, J. P. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.11439 · Cited by 15 · see citing works
Quantum Oscillations of the Velocity of Sound in Antimony
高野, 脩., Koga, M., & Matsumoto, Y. (1978) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.44.453 · Cited by 10 · see citing works
Sb/GaSb heterostructures and multilayers
Golding, T. D., Dura, J. A., Wang, W. C., Vigliante, A., Moss, S. C., Chen, H. C., Miller, J. H., Hoffman, C. A., & Meyer, J. R. (1993) · Applied Physics Letters · doi:10.1063/1.109792 · Cited by 9 · see citing works
Electronic and dielectric properties of Bi grown on GaAs(110)
Renzi, V. D., Betti, M. G., & Mariani, C. (1993) · Surface Science · doi:10.1016/0039-6028(93)90840-g · Cited by 2 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
<i>Colloquium</i> : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930 · see citing works
Topological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651 · see citing works
Topological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252 · see citing works
A topological Dirac insulator in a quantum spin Hall phase
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y. S., Cava, R. J., & Hasan, M. Z. (2008) · Nature · doi:10.1038/nature06843 · Cited by 3,523 · see citing works
“1 in Figs 1 and 2, we also measured the dispersion of the deeper lying bands well below the Fermi level (EF ) and compared them to tight binding theoretical calculations of the bulk bands of pure bismuth following the model of Liu and Allen (1995)22.”
MethodObservation of Unconventional Quantum Spin Textures in Topological Insulators
Hsieh, D., Xia, Y., Wray, L., Qian, D., Pal, A., Dil, J. H., Osterwalder, J., Meier, F., Bihlmayer, G., Kane, C. L., et al. (2009) · Science · doi:10.1126/science.1167733 · Cited by 1,239 · see citing works
Murakami, S. (2007) · New Journal of Physics · doi:10.1088/1367-2630/9/9/356 · Cited by 1,176 · see citing works
Yu, R., Qi, X. L., Bernevig, B. A., Fang, Z., & Dai, X. (2011) · Physical Review B · doi:10.1103/physrevb.84.075119 · Cited by 869 · see citing works
Higher-order topology in bismuth
Schindler, F., Wang, Z., Vergniory, M. G., Cook, A. M., Murani, A., Sengupta, S., Kasumov, A. Y., Deblock, R., Jeon, S., Drozdov, I., et al. (2018) · Nature Physics · doi:10.1038/s41567-018-0224-7 · Cited by 834 · see citing works
Teo, J. C. Y., Fu, L., & Kane, C. L. (2008) · Physical Review B · doi:10.1103/physrevb.78.045426 · Cited by 761 · see citing works
Strong Spin-Orbit Splitting on Bi Surfaces
Koroteev, Y. M., Bihlmayer, G., Gayone, J. E., Chulkov, E. V., Blügel, S., Echenique, P. M., & Hofmann, P. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.046403 · Cited by 692 · see citing works
Three-Dimensional Topological Insulators
Hasan, M. Z., & Moore, J. E. (2011) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-062910-140432 · Cited by 699 · see citing works
Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
Murakami, S. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.236805 · Cited by 639 · see citing works
The surfaces of bismuth: Structural and electronic properties
Hofmann, P. (2006) · Progress in Surface Science · doi:10.1016/j.progsurf.2006.03.001 · Cited by 617 · see citing works
Murakami, S., 村上修一, & Murakami, S. (2019) · Tokyo Tech Research Repository (Tokyo Institute of Technology) · Cited by 640 · see citing works
Localized edge states in two-dimensional topological insulators: Ultrathin Bi films
Wada, M., Murakami, S., Freimuth, F., & Bihlmayer, G. (2011) · Physical Review B · doi:10.1103/physrevb.83.121310 · Cited by 365 · see citing works
Stable Nontrivial Z 2 Topology in Ultrathin Bi (111) Films: A First-Principles Study
Liu, Z., Liu, C., Wu, Y.-S., Duan, W., Liu, F., & Wu, J. C. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.136805 · Cited by 379 · see citing works
Hirahara, T., Nagao, T., Matsuda, I., Bihlmayer, G., Chulkov, E. V., Koroteev, Y. M., Echenique, P. M., Saito, M., & Hasegawa, S. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.146803 · Cited by 313 · see citing works
Field-induced polarization of Dirac valleys in bismuth
Zhu, Z., Collaudin, A., Fauqué, B., Kang, W., & Behnia, K. (2011) · Nature Physics · doi:10.1038/nphys2111 · Cited by 284 · see citing works
Quantum Oscillations, Thermoelectric Coefficients, and the Fermi Surface of Semimetallic WTe 2
Zhu, Z., Lin, X., Liu, J., Fauqué, B., Qian, T., Yang, C., Shi, Y., & Behnia, K. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.176601 · Cited by 255 · see citing works
Fukui, T., & Hatsugai, Y. (2007) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.76.053702 · Cited by 243 · see citing works
Fermi Surface of Bi(111) Measured by Photoemission Spectroscopy
Ast, C. R., & Höchst, H. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.177602 · Cited by 230 · see citing works
Topological materials discovery from crystal symmetry
Wieder, B. J., Bradlyn, B., Cano, J., Wang, Z., Vergniory, M. G., Elcoro, L., Soluyanov, A. A., Felser, C., Neupert, T., Regnault, N., et al. (2021) · Nature Reviews Materials · doi:10.1038/s41578-021-00380-2 · Cited by 209 · see citing works
Boukai, A. I., Xu, K., & Heath, J. R. (2006) · Advanced Materials · doi:10.1002/adma.200502194 · Cited by 191 · see citing works
Observation of a Majorana zero mode in a topologically protected edge channel
Jäck, B., Xie, Y., Li, J., Jeon, S., Bernevig, B. A., & Yazdani, A. (2019) · Science · doi:10.1126/science.aax1444 · Cited by 183 · see citing works
Direct observation of spin splitting in bismuth surface states
Hirahara, T., Miyamoto, K., Matsuda, I., Kadono, T., Kimura, A., Nagao, T., Bihlmayer, G., Chulkov, E. V., Qiao, S., Shimada, K., et al. (2007) · Physical Review B · doi:10.1103/physrevb.76.153305 · Cited by 179 · see citing works
Evidence for bulk superconductivity in pure bismuth single crystals at ambient pressure
Prakash, O., Kumar, A., Thamizhavel, A., & Ramakrishnan, S. (2016) · Science · doi:10.1126/science.aaf8227 · Cited by 174 · see citing works
Transport Properties and Diamagnetism of Dirac Electrons in Bismuth
Fuseya, Y., Ogata, M., & Fukuyama, H. (2014) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.84.012001 · Cited by 163 · see citing works
Direct mapping of the spin-filtered surface bands of a three-dimensional quantum spin Hall insulator
Nishide, A., Taskin, A. A., Takeichi, Y., Okuda, T., Kakizaki, A., Hirahara, T., Nakatsuji, K., Komori, F., Ando, Y., & Matsuda, I. (2010) · Physical Review B · doi:10.1103/physrevb.81.041309 · Cited by 166 · see citing works
Sugawara, K., Sato, T., Souma, S., Takahashi, T., Arai, M., & Sasaki, T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.046411 · Cited by 158 · see citing works
Electron–phonon coupling at surfaces and interfaces
Hofmann, P., Sklyadneva, I. Y., Rienks, E. D. L., & Chulkov, E. V. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/12/125005 · Cited by 140 · see citing works
Weak antilocalization and localization in disordered and interacting Weyl semimetals
Lu, H.-Z., & Shen, S.-Q. (2015) · Physical Review B · doi:10.1103/physrevb.92.035203 · Cited by 135 · see citing works
Park, J.-H., Kim, C. H., Rhim, J., & Han, J. H. (2012) · Physical Review B · doi:10.1103/physrevb.85.195401 · Cited by 132 · see citing works
Ballistic edge states in Bismuth nanowires revealed by SQUID interferometry
Murani, A., Kasumov, A. Y., Sengupta, S., Kasumov, Y. A., Volkov, V. T., Khodos, I. I., Brisset, F., Delagrange, R., Chepelianskii, A. D., Deblock, R., et al. (2017) · Nature Communications · doi:10.1038/ncomms15941 · Cited by 130 · see citing works
Topologically Protected Quantum Transport in Locally Exfoliated Bismuth at Room Temperature
Sabater, C., Gosálbez-Martínez, D., Fernández-Rossier, J., Rodrigo, J. G., Untiedt, C., & Palacios, J. J. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.176802 · Cited by 122 · see citing works
Aguilera, I., Friedrich, C., & Blügel, S. (2015) · Physical Review B · doi:10.1103/physrevb.91.125129 · Cited by 114 · see citing works
Hirahara, T., Nagao, T., Matsuda, I., Bihlmayer, G., Chulkov, E. V., Koroteev, Y. M., & Hasegawa, S. (2007) · Physical Review B · doi:10.1103/physrevb.75.035422 · Cited by 115 · see citing works
The spin Hall effect of Bi-Sb alloys driven by thermally excited Dirac-like electrons
Chi, Z., Lau, Y.-C., Xu, X., Ohkubo, T., Hono, K., & Hayashi, M. (2020) · Science Advances · doi:10.1126/sciadv.aay2324 · Cited by 111 · see citing works
Toudert, J., Serna, R., Camps, I., Wójcik, J., Mascher, P., Rebollar, E., & Ezquerra, T. A. (2017) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.6b10331 · Cited by 101 · see citing works
Nernst Effect in Semimetals: The Effective Mass and the Figure of Merit
Behnia, K., Méasson, M.-A., & Kopelevich, Y. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.076603 · Cited by 103 · see citing works
Effect of pressure on the Raman modes of antimony
Wang, X., Kunc, K., Loa, I., Schwarz, U. T., & Syassen, K. (2006) · Physical Review B · doi:10.1103/physrevb.74.134305 · Cited by 101 · see citing works
Laser-induced phonon-phonon interactions in bismuth
Zijlstra, E. S., Tatarinova, L. L., & Garcia, M. E. (2006) · Physical Review B · doi:10.1103/physrevb.74.220301 · Cited by 97 · see citing works
Electronic structure of a bismuth bilayer
Ast, C. R., & Höchst, H. (2003) · Physical review. B, Condensed matter · doi:10.1103/physrevb.67.113102 · Cited by 97 · see citing works
Strained monolayer germanene with 1 × 1 lattice on Sb(111)
Gou, J., Zhong, Q., Sheng, S., Li, W., Cheng, P., Li, H., Chen, L., & Wu, K. (2016) · 2D Materials · doi:10.1088/2053-1583/3/4/045005 · Cited by 95 · see citing works
Oscillating Nernst-Ettingshausen Effect in Bismuth across the Quantum Limit
Behnia, K., Méasson, M.-A., & Kopelevich, Y. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.166602 · Cited by 95 · see citing works
Proving Nontrivial Topology of Pure Bismuth by Quantum Confinement
Ito, S., Feng, B., Arita, M., Takayama, A., Liu, R.-Y., Someya, T., Chen, W.-C., Iimori, T., Namatame, H., Taniguchi, M., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.236402 · Cited by 93 · see citing works
Resolving the topological classification of bismuth with topological defects
Nayak, A. K., Reiner, J., Queiroz, R., Fu, H., Shekhar, C., Yan, B., Felser, C., Avraham, N., & Beidenkopf, H. (2019) · Science Advances · doi:10.1126/sciadv.aax6996 · Cited by 89 · see citing works
Thermal conductivity suppression in bismuth nanowires
Moore, A. L., Pettes, M. T., Zhou, F. L., & Shi, L. (2009) · Journal of Applied Physics · doi:10.1063/1.3191657 · Cited by 90 · see citing works
Superconductivity and Quantum Oscillations in Crystalline Bi Nanowire
Tian, M., Wang, J., Zhang, Q., Kumar, N., Mallouk, T. E., & Chan, M. H. W. (2009) · Nano Letters · doi:10.1021/nl901431t · Cited by 85 · see citing works
Angle-resolved Landau spectrum of electrons and holes in bismuth
Zhu, Z., Fauqué, B., Fuseya, Y., & Behnia, K. (2011) · Physical Review B · doi:10.1103/physrevb.84.115137 · Cited by 82 · see citing works
Angle Dependence of the Orbital Magnetoresistance in Bismuth
Collaudin, A., Fauqué, B., Fuseya, Y., Kang, W., & Behnia, K. (2015) · Physical Review X · doi:10.1103/physrevx.5.021022 · Cited by 82 · see citing works
Systematic pseudopotentials from reference eigenvalue sets for DFT calculations
Rivero, P., García-Suárez, V. M., Pereñiguez, D., Utt, K., Yang, Y., Bellaïche, L., Park, K., Ferrer, J., & Barraza‐Lopez, S. (2014) · Computational Materials Science · doi:10.1016/j.commatsci.2014.11.026 · Cited by 80 · see citing works
STM and XPS investigations of bismuth islands on HOPG
Kowalczyk, P. J., Mahapatra, O., McCarthy, D. N., Kozłowski, W., Klusek, Z., & Brown, S. A. (2011) · Surface Science · doi:10.1016/j.susc.2010.12.032 · Cited by 80 · see citing works
The effect of reduced dimensionality on a semimetal: the electronic structure of the Bi(110) surface
Agergaard, S., Søndergaard, C. S., Li, H., Nielsen, M. B., Hoffmann, S. V., Li, Z., & Hofmann, P. (2001) · New Journal of Physics · doi:10.1088/1367-2630/3/1/315 · Cited by 79 · see citing works
Non-trivial surface-band dispersion on Bi(111)
Ohtsubo, Y., Perfetti, L., Goerbig, M. O., Fèvre, P. L., Bertran, F., & Taleb-Ibrahimi, A. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/3/033041 · Cited by 77 · see citing works
Nondegenerate Metallic States on Bi(114): A One-Dimensional Topological Metal
Wells, J. W., Dil, J. H., Meier, F., Lobo‐Checa, J., Petrov, V. N., Osterwalder, J., Ugeda, M. M., Fernández-Torrente, I., Pascual, J. I., Rienks, E. D. L., et al. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.096802 · Cited by 78 · see citing works
Electronic structure, phase stability, and semimetal-semiconductor transitions in Bi
Shick, A. B., Ketterson, J. B., Novikov, D. L., & Freeman, A. J. (1999) · Physical review. B, Condensed matter · doi:10.1103/physrevb.60.15484 · Cited by 77 · see citing works
Energy-Gap Opening in a Bi(110) Nanoribbon Induced by Edge Reconstruction
Sun, J., Huang, H., Wong, S. L., Gao, H., Feng, Y. P., & Wee, A. T. S. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.246804 · Cited by 76 · see citing works
Structural influence on the Rashba-type spin splitting in surface alloys
Gierz, I., Stadtmüller, B., Vuorinen, J., Lindroos, M., Meier, F., Dil, J. H., Kern, K., & Ast, C. R. (2010) · Physical Review B · doi:10.1103/physrevb.81.245430 · Cited by 75 · see citing works
Tunable Giant Spin Hall Conductivities in a Strong Spin-Orbit Semimetal: Bi1−xSbx
Şahin, C., & Flatté, M. E. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.107201 · Cited by 75 · see citing works
Low-Energy Effective Hamiltonian and the Surface States of Ca3PbO
Kariyado, T., & Ogata, M. (2012) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.81.064701 · Cited by 67 · see citing works
Hirahara, T., Miyamoto, K., Kimura, A., 新沼, 優., Bihlmayer, G., Chulkov, E. V., Nagao, T., Matsuda, I., Qiao, S., Shimada, K., et al. (2008) · New Journal of Physics · doi:10.1088/1367-2630/10/8/083038 · Cited by 68 · see citing works
Surface Landau levels and spin states in bismuth (111) ultrathin films
Du, H., Sun, X., Liu, X., Wu, X., Wang, J., Tian, M., Zhao, A., Luo, Y., Yang, J., Wang, B., et al. (2016) · Nature Communications · doi:10.1038/ncomms10814 · Cited by 67 · see citing works
Thermal chiral anomaly in the magnetic-field-induced ideal Weyl phase of Bi1−xSbx
Vu, D., Zhang, W., Şahin, C., Flatté, M. E., Trivedi, N., & Heremans, J. P. (2021) · Nature Materials · doi:10.1038/s41563-021-00983-8 · Cited by 70 · see citing works
Bian, G., Miller, T., & Chiang, T. ‐. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.036802 · Cited by 66 · see citing works
Strong Energy Dependence of the Electron-Phonon Coupling Strength on Bi(100)
Gayone, J. E., Hoffmann, S. V., Li, Z., & Hofmann, P. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.127601 · Cited by 66 · see citing works
Overcoming Boltzmann’s Tyranny in a Transistor via the Topological Quantum Field Effect
Nadeem, M., Bernardo, I. D., Wang, X. L., Fuhrer, M. S., & Culcer, D. (2021) · Nano Letters · doi:10.1021/acs.nanolett.1c00378 · Cited by 62 · see citing works
Electronic structure and Fermi surface of Bi(100)
Hofmann, P., Gayone, J. E., Bihlmayer, G., Koroteev, Y. M., & Chulkov, E. V. (2005) · Physical Review B · doi:10.1103/physrevb.71.195413 · Cited by 62 · see citing works
Yu, X., Liu, X., Yang, K., Chen, X. S., & Li, W. (2021) · ACS Nano · doi:10.1021/acsnano.0c07899 · Cited by 59 · see citing works
Leng, D., Wang, T., Li, Y., Huang, Z., Wang, H., Wan, Y., Pei, X., & Wang, J. (2021) · Inorganic Chemistry · doi:10.1021/acs.inorgchem.1c02621 · Cited by 59 · see citing works
A magneto-thermoelectric with a high figure of merit in topological insulator Bi88Sb12
Pan, Y., He, B., Feng, X., Li, F., Chen, D., Burkhardt, U., & Felser, C. (2025) · Nature Materials · doi:10.1038/s41563-024-02059-9 · Cited by 61 · see citing works
Nanobismuth: Fabrication, Optical, and Plasmonic Properties—Emerging Applications
Tian, Y., & Toudert, J. (2018) · Journal of Nanotechnology · doi:10.1155/2018/3250932 · Cited by 53 · see citing works
Role of Quantum and Surface-State Effects in the Bulk Fermi-Level Position of Ultrathin Bi Films
Hirahara, T., Shirai, T., Hajiri, T., Matsunami, M., Tanaka, K., Kimura, S., Hasegawa, S., & Kobayashi, K. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.106803 · Cited by 51 · see citing works
Spin-dependent quantum interference in photoemission process from spin-orbit coupled states
Yaji, K., Kuroda, K., Toyohisa, S., Harasawa, A., Ishida, Y., Watanabe, S., Chen, C., Kobayashi, K., Komori, F., & Shin, S. (2017) · Nature Communications · doi:10.1038/ncomms14588 · Cited by 49 · see citing works
Thermal resistivity and hydrodynamics of the degenerate electron fluid in antimony
Jaoui, A., Fauqué, B., & Behnia, K. (2021) · Nature Communications · doi:10.1038/s41467-020-20420-9 · Cited by 48 · see citing works
Topological Semimetals in the SnTe Material Class: Nodal Lines and Weyl Points
Lau, A., & Ortix, C. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.186801 · Cited by 47 · see citing works
Transport and spin conversion of multicarriers in semimetal bismuth
Emoto, H., Ando, Y., Eguchi, G., Ohshima, R., Shikoh, E., Fuseya, Y., Shinjo, T., & Shiraishi, M. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.174428 · Cited by 47 · see citing works
Spin-Hall Effect and Diamagnetism of Dirac Electrons
Fuseya, Y., Ogata, M., & Fukuyama, H. (2012) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.81.093704 · Cited by 46 · see citing works
Bian, G., Miller, T., & Chiang, T. ‐. (2009) · Physical Review B · doi:10.1103/physrevb.80.245407 · Cited by 46 · see citing works
Magnetoresistance and valley degree of freedom in bulk bismuth
Zhu, Z., Fauqué, B., Behnia, K., & Fuseya, Y. (2018) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/aaced7 · Cited by 45 · see citing works
TBPLaS: A tight-binding package for large-scale simulation
Li, Y., Zhan, Z., Kuang, X., Li, Y., & Yuan, S. (2022) · Computer Physics Communications · doi:10.1016/j.cpc.2022.108632 · Cited by 44 · see citing works
Magnetoresistance of semimetals: The case of antimony
Fauqué, B., Yang, X., Tabiś, W., Shen, M., Zhu, Z., Proust, C., Fuseya, Y., & Behnia, K. (2018) · Physical Review Materials · doi:10.1103/physrevmaterials.2.114201 · Cited by 44 · see citing works
Timrov, I., Kampfrath, T., Faure, J., Vast, N., Ast, C. R., Frischkorn, C., Wolf, M., Gava, P., & Perfetti, L. (2012) · Physical Review B · doi:10.1103/physrevb.85.155139 · Cited by 44 · see citing works
P-type doping of elemental bismuth with indium, gallium and tin: a novel doping mechanism in solids
Jin, H., Wiendlocha, B., & Heremans, J. P. (2015) · Energy & Environmental Science · doi:10.1039/c5ee01309g · Cited by 43 · see citing works
Evolution of Topological Surface States in Antimony Ultra-Thin Films
Yao, G., Luo, Z., Pan, F., Xu, W., Feng, Y. P., & Wang, X. (2013) · Scientific Reports · doi:10.1038/srep02010 · Cited by 43 · see citing works
Colloidal quantum dots for low-cost MWIR imaging
Ciani, A. J., Pimpinella, R. E., Grein, C. H., & Guyot‐Sionnest, P. (2016) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.2234734 · Cited by 43 · see citing works
Two-dimensional band structure and self-energy of Bi(111) near the Γ¯ point
Ast, C. R., & Höchst, H. (2002) · Physical review. B, Condensed matter · doi:10.1103/physrevb.66.125103 · Cited by 43 · see citing works
Origin of the Large Anisotropic g Factor of Holes in Bismuth
Fuseya, Y., Zhu, Z., Fauqué, B., Kang, W., Lenoir, B., & Behnia, K. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.216401 · Cited by 42 · see citing works
Three dimensional graphdiyne polymers with tunable band gaps
Hu, M., Pan, Y., Luo, K., He, J., Yu, D., & Xu, B. (2015) · Carbon · doi:10.1016/j.carbon.2015.05.027 · Cited by 42 · see citing works
Choi, D. S., Balandin, A. A., Leung, M. S., Stupian, G. W., Presser, N., Chung, S., Heath, J. R., Khitun, A. G., & Wang, K. L. (2006) · Applied Physics Letters · doi:10.1063/1.2357847 · Cited by 42 · see citing works
Topologically nontrivial bismuth(111) thin films
Yao, M.-Y., Zhu, F., Han, C. Q., Guan, D. D., Liu, C., Qian, D., & Jia, J.-F. (2016) · Scientific Reports · doi:10.1038/srep21326 · Cited by 43 · see citing works
In-plane magnetization-induced quantum anomalous Hall effect in atomic crystals of group-V elements
Zhong, P., Ren, Y., Han, Y., Zhang, L., & Qiao, Z. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.241103 · Cited by 39 · see citing works
On the Origin and the Amplitude of T ‐Square Resistivity in Fermi Liquids
Behnia, K. (2022) · Annalen der Physik · doi:10.1002/andp.202100588 · Cited by 38 · see citing works
Zoraghi, M., Barzola-Quiquia, J. L., Stiller, M., Setzer, A., Esquinazi, P. D., Kloess, G. H., Münster, T., Lühmann, T., & Estrela‐Lopis, I. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.045308 · Cited by 38 · see citing works
Phase diagram of bismuth in the extreme quantum limit
Yang, H., Fauqué, B., Malone, L., Antunes, A. B., Zhu, Z., Uher, C., & Behnia, K. (2010) · Nature Communications · doi:10.1038/ncomms1039 · Cited by 37 · see citing works
Landau spectrum and twin boundaries of bismuth in the extreme quantum limit
Zhu, Z., Fauqué, B., Malone, L., Antunes, A. B., Fuseya, Y., & Behnia, K. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1209197109 · Cited by 36 · see citing works
Three-dimensional topological insulators: A review on host materials
Feng, W., & Yao, Y. (2012) · Science China Physics Mechanics and Astronomy · doi:10.1007/s11433-012-4929-9 · Cited by 35 · see citing works
Bian, G., Wang, Z., Wang, X.-X., Xu, C., Xu, S., Miller, T., Hasan, M. Z., Liu, F., & Chiang, T. ‐. (2016) · ACS Nano · doi:10.1021/acsnano.6b00987 · Cited by 35 · see citing works
Bismuth in strong magnetic fields: Unconventional Zeeman coupling and correlation effects
Alicea, J., & Balents, L. (2009) · Physical Review B · doi:10.1103/physrevb.79.241101 · Cited by 33 · see citing works
Pairing from dynamically screened Coulomb repulsion in bismuth
Ruhman, J., & Lee, P. A. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.235107 · Cited by 33 · see citing works
- Authors
- Liu, Y., & Allen, R. E.
- Affiliations
- Texas A&M University (US)
- ORCID
- Allen, Roland E.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1995-07-15
- Volume
- 52
- Issue
- 3
- Pages
- 1566-1577
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2045723551
- Cited by
- 375
- References
- 49
- Citations by year
- 2026: 7 · 2025: 22 · 2024: 19 · 2023: 18 · 2022: 24 · 2021: 23 · 2020: 17 · 2019: 16 · 2018: 18 · 2017: 21 · 2016: 21 · 2015: 31 · 2014: 16 · 2013: 17 · 2012: 13
- FWCI
- 0.98
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. B, Condensed matter (publishedVersion)
- PubMed (publishedVersion)
- OakTrust (Texas A&M University Libraries) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Materials Science › Materials Chemistry › 2D Materials and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Semiconductor materials and interfaces
- Keywords
- bismuth, antimony, semimetals, electronic structure, spin-orbit coupling, Fermi surface, effective mass, superlattices, resonant tunneling devices
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
