Unconventional Chiral Fermions and Large Topological Fermi Arcs in RhSi
Open accessAbstract
The theoretical proposal of chiral fermions in topological semimetals has led to a significant effort towards their experimental realization. In particular, the Fermi surfaces of chiral semimetals carry quantized Chern numbers, making them an attractive platform for the observation of exotic transport and optical phenomena. While the simplest example of a chiral fermion in condensed matter is a conventional |C|=1 Weyl fermion, recent theoretical works have proposed a number of unconventional chiral fermions beyond the standard model which are protected by unique combinations of topology and crystalline symmetries. However, materials candidates for experimentally probing the transport and response signatures of these unconventional fermions have thus far remained elusive. In this Letter, we propose the RhSi family in space group No. 198 as the ideal platform for the experimental examination of unconventional chiral fermions. We find that RhSi is a filling-enforced semimetal that features near its Fermi surface a chiral double sixfold-degenerate spin-1 Weyl node at R and a previously uncharacterized fourfold-degenerate chiral fermion at Γ. Each unconventional fermion displays Chern number ±4 at the Fermi level. We also show that RhSi displays the largest possible momentum separation of compensative chiral fermions, the largest proposed topologically nontrivial energy window, and the longest possible Fermi arcs on its surface. We conclude by proposing signatures of an exotic bulk photogalvanic response in RhSi.
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?
Within Weyl semimetals, measuring quantization in the injection photocurrent can only occur if nodes of opposite chirality are separated in energy, requiring an absence of mirror symmetry, as found in multifold chiral semimetals.
“Within the Weyl semimetals, this can only occur if nodes of opposite chirality are separated in energy, requiring an absence of mirror symmetry, as can be found in the class of chiral semimetals known as multifold compounds102–104.”
From Ultrafast terahertz emission from emerging symmetry-broken materials (2023) · cites this paper as [102]
Cites
<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
Self-citationTopological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394 · see citing works
Self-citationSpintronics: Fundamentals and applications
Žutić, I., Fabian, J., & Sarma, S. D. (2004) · Reviews of Modern Physics · doi:10.1103/revmodphys.76.323 · Cited by 11,221 · see citing works
Quantum Spin Hall Effect in Graphene
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.226801 · Cited by 8,197 · see citing works
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090 · see citing works
Self-citationKane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460 · see citing works
Wan, X., Turner, A. M., Vishwanath, A., & Savrasov, S. Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.205101 · Cited by 4,718 · see citing works
Discovery of a Weyl fermion semimetal and topological Fermi arcs
Xu, S.-Y., Belopolski, I., Alidoust, N., Neupane, M., Bian, G., Zhang, C., Sankar, R., Chang, G., Yuan, Z., Lee, C.-C., et al. (2015) · Science · doi:10.1126/science.aaa9297 · Cited by 3,396 · see citing works
Self-citationThe Universe in a Helium Droplet
Volovik, G. E. (2009) · doi:10.1093/acprof:oso/9780199564842.001.0001 · Cited by 2,632 · see citing works
Soluyanov, A. A., Gresch, D., Wang, Z., Wu, Q., Troyer, M., Dai, X., & Bernevig, B. A. (2015) · Nature · doi:10.1038/nature15768 · Cited by 2,526 · see citing works
Experimental Discovery of Weyl Semimetal TaAs
Lv, B. Q., Weng, H. M., Fu, B. B., Wang, X. P., Miao, H., Ma, J., Richard, P., Huang, X. C., Zhao, L. X., Chen, G. F., et al. (2015) · Physical Review X · doi:10.1103/physrevx.5.031013 · Cited by 2,399 · see citing works
Weyl Semimetal in a Topological Insulator Multilayer
Burkov, A. A., & Balents, L. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.127205 · Cited by 2,289 · see citing works
Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
Weng, H., Fang, C., Fang, Z., Bernevig, B. A., & Dai, X. (2015) · Physical Review X · doi:10.1103/physrevx.5.011029 · Cited by 1,889 · see citing works
Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott InsulatorPreprint
Wan, X., Turner, A. M., Vishwanath, A., et al. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1007.0016 · Cited by 1,845 · see citing works
Bradlyn, B., Elcoro, L., Cano, J., Vergniory, M. G., Wang, Z., Felser, C., Aroyo, M. I., & Bernevig, B. A. (2017) · Nature · doi:10.1038/nature23268 · Cited by 1,624 · see citing works
<i>Colloquium</i> : Topological band theory
Bansil, A., Lin, H., & Das, T. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021004 · Cited by 1,587 · see citing works
Self-citationA Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class
Huang, S.-M., Xu, S.-Y., Belopolski, I., Lee, C.-C., Chang, G., Wang, B., Alidoust, N., Bian, G., Neupane, M., Zhang, C., et al. (2015) · Nature Communications · doi:10.1038/ncomms8373 · Cited by 1,576 · see citing works
Self-citationWeyl, H. (1929) · Zeitschrift f�r Physik · doi:10.1007/bf01339504 · Cited by 1,457 · see citing works
Spin-transfer torque generated by a topological insulator
Mellnik, A., Lee, J. S., Richardella, A. R., Grab, J. L., Mintun, P. J., Fischer, M. H., Vaezi, A., Manchon, A., Kim, E.-A., Samarth, N., et al. (2014) · Nature · doi:10.1038/nature13534 · Cited by 1,445 · see citing works
Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
Bradlyn, B., Cano, J., Wang, Z., Vergniory, M. G., Felser, C., Cava, R. J., & Bernevig, B. A. (2016) · Science · doi:10.1126/science.aaf5037 · Cited by 1,252 · see citing works
The Mathematical Theory Of Symmetry In Solids
Bradley, C., & Cracknell, A. P. (2009) · doi:10.1093/oso/9780199582587.001.0001 · Cited by 1,233 · 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
Experimental observation of Weyl points
Lu, L., Wang, Z., Ye, D., Ran, L., Fu, L., Joannopoulos, J. D., & Soljačić, M. (2015) · Science · doi:10.1126/science.aaa9273 · Cited by 1,067 · see citing works
Huang, S.-M., Xu, S., Belopolski, I., Lee, C., Chang, G., Wang, B., Alidoust, N., Bian, G., Neupane, M., Bansil, A., et al. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1501.00755 · Cited by 760 · see citing works
Self-citationQuantized circular photogalvanic effect in Weyl semimetals
de Juan, F., Grushin, A. G., Morimoto, T., & Moore, J. E. (2017) · Nature Communications · doi:10.1038/ncomms15995 · Cited by 708 · 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
Multiple Types of Topological Fermions in Transition Metal Silicides
Tang, P., Zhou, Q., & Zhang, S.-C. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.206402 · Cited by 433 · see citing works
Self-citationDiscovery of Weyl Fermion Semimetals and Topological Fermi Arc States
Hasan, M. Z., Xu, S., Belopolski, I., & Huang, S.-M. (2017) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031016-025225 · Cited by 432 · see citing works
Self-citationDirect optical detection of Weyl fermion chirality in a topological semimetal
Ma, Q., Xu, S.-Y., Chan, C.-K., Zhang, C.-L., Chang, G., Lin, Y., Xie, W., Palacios, T., Lin, H., Jia, S., et al. (2017) · Nature Physics · doi:10.1038/nphys4146 · Cited by 418 · see citing works
Self-citationObservation of three-component fermions in the topological semimetal molybdenum phosphide
Lv, B., Feng, Z., Xu, Q., Gao, X., Ma, J., Kong, L.-Y., Richard, P. J. H., Huang, Y.-B., Strocov, V. N., Fang, C., et al. (2017) · Nature · doi:10.1038/nature22390 · Cited by 349 · see citing works
Double Dirac Semimetals in Three Dimensions.
Wieder, B. J., Kim, Y., Rappe, A. M., & Kane, C. L. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.186402 · Cited by 345 · see citing works
Self-citationTriple Point Topological Metals
Zhu, Z., Winkler, G. W., Wu, Q., Li, J., & Soluyanov, A. A. (2016) · ETH Zurich · doi:10.3929/ethz-b-000118301 · Cited by 333 · see citing works
Photocurrents in Weyl semimetals
Chan, C.-K., Lindner, N. H., Refael, G., & Lee, P. A. (2017) · Physical Review B · doi:10.1103/physrevb.95.041104 · Cited by 327 · see citing works
Triple Point Topological Metals
Zhu, Z., Winkler, G. W., Wu, Q., Li, J., & Soluyanov, A. A. (2016) · Physical Review X · doi:10.1103/physrevx.6.031003 · Cited by 312 · see citing works
Weng, H., Fang, C., Fang, Z., & Dai, X. (2016) · Physical Review B · doi:10.1103/physrevb.93.241202 · Cited by 296 · see citing works
Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
Xu, Y., Zhang, F., & Zhang, C. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.265304 · Cited by 295 · see citing works
Balents, L. (2011) · Physics · doi:10.1103/physics.4.36 · Cited by 264 · see citing works
Discovery of Lorentz-violating type II Weyl fermions in LaAlGe
Xu, S., Alidoust, N., Chang, G., Lu, H., Singh, B., Belopolski, I., Sanchez, D. S., Zhang, X., Bian, G., Zheng, H., et al. (2017) · Science Advances · doi:10.1126/sciadv.1603266 · Cited by 264 · see citing works
Self-citationGyrotropic Magnetic Effect and the Magnetic Moment on the Fermi Surface
Zhong, S., Moore, J. E., & Souza, I. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.077201 · Cited by 246 · see citing works
Bruno, F. Y., Tamai, A., Wu, Q. S., Cucchi, I., Barreteau, C., de la Torre, A., McKeown Walker, S., Riccò, S., Wang, Z., Kim, T. K., et al. (2016) · Physical Review B · doi:10.1103/physrevb.94.121112 · Cited by 201 · see citing works
Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals
Watanabe, H., Po, H. C., Vishwanath, A., & Zaletel, M. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1514665112 · Cited by 195 · see citing works
Topological semimetals with helicoid surface states
Fang, C., Lu, L., Liu, J., & Fu, L. (2016) · Nature Physics · doi:10.1038/nphys3782 · Cited by 189 · see citing works
Chiral magnetic effect and natural optical activity in metals with or without Weyl points
Ma, J., & Pesin, D. A. (2015) · Physical Review B · doi:10.1103/physrevb.92.235205 · Cited by 159 · see citing works
Nexus fermions in topological symmorphic crystalline metals
Chang, G., Xu, S., Huang, S.-M., Sanchez, D. S., Hsu, C., Bian, G., Yu, Z., Belopolski, I., Alidoust, N., Zheng, H., et al. (2017) · Scientific Reports · doi:10.1038/s41598-017-01523-8 · Cited by 143 · see citing works
Self-citationHelical Fermi arcs and surface states in time-reversal invariant Weyl semimetals
Ojanen, T. (2013) · Physical Review B · doi:10.1103/physrevb.87.245112 · Cited by 129 · see citing works
Spin Polarization and Texture of the Fermi Arcs in the Weyl Fermion Semimetal TaAs
Xu, S., Belopolski, I., Sanchez, D. S., Neupane, M., Chang, G., Yaji, K., Yuan, Z., Zhang, C., Kuroda, K., Bian, G., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.096801 · Cited by 124 · see citing works
Self-citationSpin-orbit semimetals in the layer groups
Wieder, B. J., & Kane, C. L. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.155108 · Cited by 124 · see citing works
Self-citationFilling-Enforced Magnetic Dirac Semimetals in Two Dimensions
Young, S. M., & Wieder, B. J. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.186401 · Cited by 86 · see citing works
Self-citationSelection Rules for Circularly Polarized Waves in Nonlinear Optics
Tang, C. L., & Rabin, H. (1971) · Physical review. B, Solid state · doi:10.1103/physrevb.3.4025 · Cited by 81 · see citing works
Takizawa, H., Sato, T., Endo, T., et al. (1988) · Journal of Solid State Chemistry · doi:10.1016/0022-4596(88)90051-5 · Cited by 79 · see citing works
Einige strukturelle Ergebnisse an metallischen Phasen
Schubert, K., Burkhardt, W., Esslinger, P., et al. (1956) · Die Naturwissenschaften · doi:10.1007/bf00617585 · Cited by 77 · see citing works
Wenski, G., & Mewis, A. (1986) · Zeitschrift für anorganische und allgemeine Chemie · doi:10.1002/zaac.19865350413 · Cited by 76 · see citing works
Thermodynamic properties and ordering in PdAl
Ettenberg, M., Komarek, K. L., & Miller, E. I. (1971) · Metallurgical Transactions · doi:10.1007/bf02664249 · Cited by 59 · see citing works
Global band topology of simple and double Dirac-point semimetals
Bouhon, A., & Black‐Schaffer, A. M. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.241101 · Cited by 59 · see citing works
The polymorphism of transition metal monogermanides at high pressures and temperatures
Larchev, V. I., & Popova, S. V. (1982) · Journal of the Less Common Metals · doi:10.1016/0022-5088(82)90040-6 · Cited by 35 · see citing works
Least-squares Refinement of the Structure of RhSi (FeSi-type).
Engström, I., Johnsson, T., Skansen, T., et al. (1965) · Acta chemica Scandinavica/Acta chemica Scandinavica. B, Organic chemistry and biochemistry/Acta chemica Scandinavica. A, Physical and inorganic chemistry/Acta chemica Scandinavica. Series B. Organic chemistry and biochemistry/Acta chemica Scandinavica. Series A, Physical and inorganic chemistry · doi:10.3891/acta.chem.scand.19-1508 · Cited by 15 · see citing works
Single crystal investigation of the new phase Er0.85Co4.31Si and of CoSi
Demchenko, P. Y., Kończyk, J., Bodak, O. I., et al. (2008) · Chemistry of Metals and Alloys · doi:10.30970/cma1.0024 · Cited by 13 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Weyl and Dirac semimetals in three-dimensional solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015001 · Cited by 4,528 · see citing works
“A particularly promising family of materials that is expected to combine multiple types of band touching and long Fermi-arcs on certain surfaces may be found in the AB material class (A = Co, Rh and B=Si, Ge) (Chang et al., 2017; Tang et al., 2017).”
BackgroundMethodTopological Semimetals from First Principles
Gao, H., Venderbos, J. W. F., Kim, Y., & Rappe, A. M. (2019) · Annual Review of Materials Research · doi:10.1146/annurev-matsci-070218-010049 · Cited by 263 · see citing works
Helicity-dependent photocurrents in the chiral Weyl semimetal RhSi
Rees, D., Manna, K., Lu, B., Morimoto, T., Borrmann, H., Felser, C., Moore, J. E., Torchinsky, D. H., & Orenstein, J. (2020) · Science Advances · doi:10.1126/sciadv.aba0509 · Cited by 234 · see citing works
Giant topological longitudinal circular photo-galvanic effect in the chiral multifold semimetal CoSi
Ni, Z., Wang, K., Zhang, Y., Pozo, O., Xu, B., Han, X., Manna, K., Paglione, J., Felser, C., Grushin, A. G., et al. (2021) · Nature Communications · doi:10.1038/s41467-020-20408-5 · Cited by 170 · see citing works
Topology and Symmetry of Quantum Materials via Nonlinear Optical Responses
Orenstein, J., Moore, J. E., Morimoto, T., Torchinsky, D. H., Harter, J. W., & Hsieh, D. (2021) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031218-013712 · Cited by 145 · see citing works
Ultrafast terahertz emission from emerging symmetry-broken materials
Pettine, J., Padmanabhan, P., Sirica, N., Prasankumar, R. P., Taylor, A. J., & Chen, H.-T. (2023) · Light: Science & Applications · doi:10.1038/s41377-023-01163-w · Cited by 81 · see citing works
Interactions Remove the Quantization of the Chiral Photocurrent at Weyl Points
Avdoshkin, A., Kozii, V., & Moore, J. E. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.196603 · Cited by 78 · see citing works
Unconventional Photocurrents from Surface Fermi Arcs in Topological Chiral Semimetals
Chang, G., Yin, J.-X., Neupert, T., Sanchez, D. S., Belopolski, I., Zhang, S. S., Cochran, T. A., Chéng, Z., Hsu, M.-C., Huang, S.-M., et al. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.166404 · Cited by 72 · see citing works
Self-citationUltrafast investigation and control of Dirac and Weyl semimetals
Weber, C. P. (2021) · Journal of Applied Physics · doi:10.1063/5.0035878 · Cited by 55 · see citing works
Direct Measurement of Helicoid Surface States in RhSi Using Nonlinear Optics
Rees, D., Lu, B., Sun, Y., Manna, K., Özgür, R., Subedi, S., Borrmann, H., Felser, C., Orenstein, J., & Torchinsky, D. H. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.157405 · Cited by 31 · see citing works
Weyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“A particularly promising family of materials that is expected to combine multiple types of band touching and long Fermi-arcs on certain surfaces may be found in the AB material class (A = Co, Rh and B=Si, Ge) (Chang et al., 2017; Tang et al., 2017).”
BackgroundMethod
- Authors
- Chang, G., Xu, S.-Y., Wieder, B. J., Sanchez, D. S., Huang, S.-M., Belopolski, I., Chang, T.-R., Zhang, S., Bansil, A., Lin, H., & Hasan, M. Z.
- Affiliations
- National University of Singapore (SG)
- Princeton University (US)
- Stockholm University (SE)
- National Sun Yat-sen University (TW)
- National Cheng Kung University (TW)
- Northeastern University (US)
- Lawrence Berkeley National Laboratory (US)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2017-11-17
- Volume
- 119
- Issue
- 20
- Pages
- 206401-206401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2626588939
- Cited by
- 399
- References
- 57
- Citations by year
- 2026: 24 · 2025: 42 · 2024: 40 · 2023: 52 · 2022: 49 · 2021: 60 · 2020: 70 · 2019: 41 · 2018: 17 · 2017: 4
- FWCI
- 17.57
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (NSF-DMR-1507585, NSF-DMR-1006492)
- Division of Materials Research
- Gordon and Betty Moore Foundation (GBMF4547-HASAN)
- National Research Foundation Singapore (NRF-NRFF2013-03)
- U.S. Department of Energy (DE-FG02-07ER46352, DE-AC02-05CH11231)
- Office of Science
- Basic Energy Sciences
- Ministry of Science and Technology, Taiwan (MOST105-2112-M-110-014-MY3)
- National Cheng Kung University
- National Center for Theoretical Sciences
- 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 › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- RhSi, topological semimetals, Chern number, Fermi arcs, Weyl points
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