Recent progress on non-Abelian anyons: from Majorana zero modes to topological Dirac fermionic modes

Quantum computation and quantum information

Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 20,449 · see citing works

Topological 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

Simulating physics with computers

Feynman, R. P. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02650179 · Cited by 7,691 · 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

Significance of Electromagnetic Potentials in the Quantum Theory

Aharonov, Y., & Bohm, D. (1959) · Physical Review · doi:10.1103/physrev.115.485 · Cited by 6,996 · see citing works

Non-Abelian anyons and topological quantum computation

Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861 · see citing works

Solitons in Polyacetylene

Su, W. P., Schrieffer, J. R., & Heeger, A. J. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1698 · Cited by 6,783 · see citing works

Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator

Fu, L., & Kane, C. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.096407 · Cited by 4,868 · see citing works

Unpaired Majorana fermions in quantum wires

Kitaev, A. Y. (2001) · Physics-Uspekhi · doi:10.1070/1063-7869/44/10s/s29 · Cited by 4,776 · see citing works

Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices

Mourik, V., Zuo, K., Frolov, S. M., Plissard, S. R., Bakkers, E. P. A. M., & Kouwenhoven, L. P. (2012) · Science · doi:10.1126/science.1222360 · Cited by 4,163 · see citing works

Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures

Lutchyn, R. M., Sau, J. D., & Sarma, S. D. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.077001 · Cited by 3,396 · see citing works

Quantized Hall conductivity in two dimensions

Laughlin, R. B. (1981) · Physical review. B, Condensed matter · doi:10.1103/physrevb.23.5632 · Cited by 2,478 · see citing works

Solitons with fermion number ½

Jackiw, R., & Rebbi, C. (1976) · Physical Review D · doi:10.1103/physrevd.13.3398 · Cited by 2,243 · see citing works

Zero-bias peaks and splitting in an Al–InAs nanowire topological superconductor as a signature of Majorana fermions

Das, A., Ronen, Y., Most, Y., Oreg, Y., Heiblum, M., & Shtrikman, H. (2012) · Nature Physics · doi:10.1038/nphys2479 · Cited by 2,086 · see citing works

Quantized electric multipole insulators

Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Science · doi:10.1126/science.aah6442 · Cited by 2,029 · see citing works

Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor

Nadj-Perge, S., Drozdov, I., Li, J., Chen, H., Jeon, S., Seo, J., MacDonald, A. H., Bernevig, B. A., & Yazdani, A. (2014) · Science · doi:10.1126/science.1259327 · Cited by 1,987 · see citing works

Berry’s phase for energy bands in solids

Zak, J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2747 · Cited by 1,950 · see citing works

Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures

Sau, J. D., Lutchyn, R. M., Tewari, S., & Das Sarma, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.040502 · Cited by 1,940 · see citing works

Non-Abelian Statistics of Half-Quantum Vortices in p -Wave Superconductors

Ivanov, D. A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.268 · Cited by 1,933 · see citing works

Quantum mechanics of fractional-spin particles

Wilczek, F. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.957 · Cited by 1,694 · see citing works

Non-Abelian statistics and topological quantum information processing in 1D wire networks

Alicea, J., Yuval Oreg, A., Refael, G., von Oppen, F., & Fisher, M. P. A. (2011) · Nature Physics · doi:10.1038/nphys1915 · Cited by 1,637 · see citing works

Higher-order topological insulators

Schindler, F., Cook, A. M., Vergniory, M. G., Wang, Z., Parkin, S., Bernevig, B. A., & Neupert, T. (2018) · Science Advances · doi:10.1126/sciadv.aat0346 · Cited by 1,634 · see citing works

Anomalous Zero-Bias Conductance Peak in a Nb–InSb Nanowire–Nb Hybrid Device

Deng, M. T., Yu, C., Huang, G. Y., Larsson, M., Caroff, P., & Xu, H. Q. (2012) · Nano Letters · doi:10.1021/nl303758w · Cited by 1,619 · see citing works

Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators

Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Physical Review B · doi:10.1103/physrevb.96.245115 · Cited by 1,389 · see citing works

Topological Quantum Effects for Neutral Particles

Aharonov, Y., & Casher, A. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.319 · Cited by 1,269 · see citing works

Majorana fermions in a tunable semiconductor device

Alicea, J. (2010) · Physical Review B · doi:10.1103/physrevb.81.125318 · Cited by 1,205 · see citing works

Exponential protection of zero modes in Majorana islands

Albrecht, S. M., Higginbotham, A. P., Madsen, M. H., Kuemmeth, F., Jespersen, T. S., Nygård, J., Krogstrup, P., & Marcus, C. M. (2016) · Nature · doi:10.1038/nature17162 · Cited by 1,073 · see citing works

Direct measurement of the Zak phase in topological Bloch bands

Atala, M., Aidelsburger, M., Barreiro, J. T., Abanin, D. A., Kitagawa, T., Demler, E., & Bloch, I. (2013) · Nature Physics · doi:10.1038/nphys2790 · Cited by 1,010 · see citing works

Acoustic higher-order topological insulator on a kagome lattice

Xue, H., Yang, Y., Gao, F., Chong, Y. D., & Zhang, B. (2018) · Nature Materials · doi:10.1038/s41563-018-0251-x · Cited by 868 · see citing works

Higher-Order Topological Insulators and Semimetals on the Breathing Kagome and Pyrochlore Lattices

Ezawa, M. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.026801 · Cited by 856 · see citing works

Bose–Einstein condensation of excitons in bilayer electron systems

Eisenstein, J. P., & MacDonald, A. H. (2004) · Nature · doi:10.1038/nature03081 · Cited by 840 · see citing works

Fractional Quantum Numbers on Solitons

Goldstone, J., & Wilczek, F. A. (1981) · Physical Review Letters · doi:10.1103/physrevlett.47.986 · Cited by 798 · see citing works

Geometric quantum computation using nuclear magnetic resonance

Jones, J. A., Vedral, V., EKERT, A. K., & Castagnoli, G. (2000) · Nature · doi:10.1038/35002528 · Cited by 795 · see citing works

Quantization of fractional corner charge in C n -symmetric higher-order topological crystalline insulators

Benalcazar, W. A., Li, T., & Hughes, T. L. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.245151 · Cited by 780 · see citing works

Evidence for Majorana bound states in an iron-based superconductor

Wang, D., Kong, L., Fan, P., Chen, H., Zhu, S., Liu, W., Cao, L., Sun, Y., Du, S., Schneeloch, J. A., et al. (2018) · Science · doi:10.1126/science.aao1797 · Cited by 755 · see citing works

Observation of topological superconductivity on the surface of an iron-based superconductor

Zhang, P., Yaji, K., Hashimoto, T., Ota, Y., Kondo, T., Okazaki, K., Wang, Z., Wen, J., Gu, G. D., Ding, H. Q., et al. (2018) · Science · doi:10.1126/science.aan4596 · Cited by 708 · see citing works

Persistent currents in small one-dimensional metal rings

Cheung, H.-F., Gefen, Y., Riedel, E. K., & Shih, W.-H. (1988) · Physical Review B · doi:10.1103/physrevb.37.6050 · Cited by 663 · see citing works

Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes

Karzig, T., Knapp, C., Lutchyn, R. M., Bonderson, P., Hastings, M. B., Nayak, C., Alicea, J., Karsten Flensberg, B., Plugge, S., Yuval Oreg, A., et al. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.235305 · Cited by 630 · see citing works

Majorana Zero Mode Detected with Spin Selective Andreev Reflection in the Vortex of a Topological Superconductor

Sun, H., Zhang, K.-W., Hu, L., Li, C., Wang, G., Ma, H., Xu, Z., Gao, C., Guan, D.-D., Li, Y., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.257003 · Cited by 604 · see citing works

Superconductivity, Superfluids, and Condensates

Annett, J. F. (2004) · doi:10.1093/oso/9780198507550.001.0001 · Cited by 585 · see citing works

Topological Insulators

Shen, S.-Q. (2012) · Springer series in solid-state sciences · doi:10.1007/978-3-642-32858-9 · Cited by 575 · see citing works

Observation of the topological soliton state in the Su–Schrieffer–Heeger model

Meier, E. J., An, F. A., & Gadway, B. (2016) · Nature Communications · doi:10.1038/ncomms13986 · Cited by 491 · see citing works

Novel Topological Phase with a Zero Berry Curvature

Liu, F., & Wakabayashi, K. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.076803 · Cited by 486 · see citing works

Zero-Bias Peaks in the Tunneling Conductance of Spin-Orbit-Coupled Superconducting Wires with and without Majorana End-States

Liu, J., Potter, A. C., Law, K. T., & Lee, P. A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.267002 · Cited by 482 · see citing works

Electron Fractionalization in Two-Dimensional Graphenelike Structures

Hou, C.-Y., Chamon, C., & Mudry, C. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.186809 · Cited by 461 · see citing works

Superconducting States of Pure and Doped Graphene

Uchoa, B., & Neto, A. H. C. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.146801 · Cited by 452 · see citing works

Fermion number fractionization in quantum field theory

Niemi, A. J., & Semenoff, G. W. (1986) · Physics Reports · doi:10.1016/0370-1573(86)90167-5 · Cited by 437 · see citing works

Introduction to Topological Quantum Computation

Pachos, J. K. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9780511792908 · Cited by 410 · see citing works

Evidence of topological superconductivity in planar Josephson junctions

Fornieri, A., Whiticar, A., Setiawan, F., Portolés, E., Drachmann, A. C. C., Keselman, A., Gronin, S., Thomas, C., Wang, T., Kallaher, R., et al. (2019) · Nature · doi:10.1038/s41586-019-1068-8 · Cited by 397 · see citing works

Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement

Kells, G., Meidan, D., & Brouwer, P. W. (2012) · Physical Review B · doi:10.1103/physrevb.86.100503 · Cited by 387 · see citing works

Transport spectroscopy of N S nanowire junctions with Majorana fermions

Prada, E., San-José, P., & Aguado, R. (2012) · Physical Review B · doi:10.1103/physrevb.86.180503 · Cited by 374 · see citing works

Flux-controlled quantum computation with Majorana fermions

Hyart, T., van Heck, B., Fulga, I. C., Burrello, M., Akhmerov, A. R., & Beenakker, C. W. J. (2013) · Physical Review B · doi:10.1103/physrevb.88.035121 · Cited by 346 · see citing works

Topological superconductivity in a phase-controlled Josephson junction

Ren, H., Pientka, F., Hart, S., Pierce, A. T., Kosowsky, M., Lunczer, L., Schlereth, R., Scharf, B., Hankiewicz, E. M., Molenkamp, L. W., et al. (2019) · Nature · doi:10.1038/s41586-019-1148-9 · Cited by 343 · see citing works

Coulomb-assisted braiding of Majorana fermions in a Josephson junction array

van Heck, B., Akhmerov, A. R., Hassler, F., Burrello, M., & Beenakker, C. W. J. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/3/035019 · Cited by 340 · see citing works

Prediction of Near-Room-Temperature Quantum Anomalous Hall Effect on Honeycomb Materials

Wu, S.-C., Shan, G., & Yan, B. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.256401 · Cited by 316 · see citing works

Quantum phase of a moving dipole

Wilkens, M. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.5 · Cited by 304 · see citing works

Time-Reversal-Invariant Topological Superconductivity and Majorana Kramers Pairs

Zhang, F., Kane, C. L., & Melé, E. J. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.056402 · Cited by 280 · see citing works

Higher-Order Topological Insulator in Twisted Bilayer Graphene

Park, M. J., Kim, Y., Cho, G. Y., & Lee, S. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.216803 · Cited by 270 · see citing works

Exciton Condensation and Charge Fractionalization in a Topological Insulator Film

Seradjeh, B., Moore, J. E., & Franz, M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.066402 · Cited by 267 · see citing works

A Short Introduction to Topological Quantum Computation

Lahtinen, V., & Pachos, J. K. (2017) · SciPost Physics · doi:10.21468/scipostphys.3.3.021 · Cited by 267 · see citing works

Reproducing topological properties with quasi-Majorana states

Vuik, A., Nijholt, B., Akhmerov, A. R., & Wimmer, M. (2019) · SciPost Physics · doi:10.21468/scipostphys.7.5.061 · Cited by 263 · see citing works

Modern Condensed Matter Physics

Girvin, S. M., & Yang, K. (2019) · Cambridge University Press eBooks · doi:10.1017/9781316480649 · Cited by 249 · see citing works

Physical mechanisms for zero-bias conductance peaks in Majorana nanowires

Pan, H., & Sarma, S. D. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.013377 · Cited by 245 · see citing works

Non-Abelian Operations on Majorana Fermions via Single-Charge Control

Karsten Flensberg, B. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.090503 · Cited by 243 · see citing works

Two-Dimensional Platform for Networks of Majorana Bound States

Hell, M., Leijnse, M., & Karsten Flensberg, B. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.107701 · Cited by 239 · see citing works

High-resolution studies of the Majorana atomic chain platform

Feldman, B. E., Randeria, M. T., Li, J., Jeon, S., Xie, Y., Wang, Z., Drozdov, I., Bernevig, B. A., & Yazdani, A. (2016) · Nature Physics · doi:10.1038/nphys3947 · Cited by 235 · see citing works

Exciton Condensation in Bilayer Quantum Hall Systems

Eisenstein, J. P. (2014) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031113-133832 · Cited by 230 · see citing works

Two-terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures

Moore, C. H., Stanescu, T. D., & Tewari, S. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.165302 · Cited by 222 · see citing works

Topological phase due to electric dipole moment and magnetic monopole interaction

He, X.-G., & McKellar, B. H. J. (1993) · Physical Review A · doi:10.1103/physreva.47.3424 · Cited by 214 · see citing works

Controlling non-Abelian statistics of Majorana fermions in semiconductor nanowires

Sau, J. D., Clarke, D. J., & Tewari, S. (2011) · Physical Review B · doi:10.1103/physrevb.84.094505 · Cited by 211 · see citing works

Majorana Kramers Pairs in Higher-Order Topological Insulators

Hsu, C.-H., Stano, P., Klinovaja, J., & Loss, D. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.196801 · Cited by 201 · see citing works

A Short Introduction to Topological Quantum Computation

Lahtinen, V., & Pachos, J. (2017) · White Rose Research Online (University of Leeds, The University of Sheffield, University of York) · Cited by 201 · see citing works

Higher-order topological insulators protected by inversion and rotoinversion symmetries

van Miert, G. C. P., & Ortix, C. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.081110 · Cited by 193 · see citing works

Evidence for a topological excitonic insulator in InAs/GaSb bilayers

Du, L., Li, X., Lou, W., Sullivan, G., Chang, K., Kono, J., & Du, R.-R. (2017) · Nature Communications · doi:10.1038/s41467-017-01988-1 · Cited by 190 · see citing works

End States in One-Dimensional Atom Chains

Crain, J. N., & PIERCE, D. T. (2005) · Science · doi:10.1126/science.1106911 · Cited by 180 · see citing works

Adiabatic manipulations of Majorana fermions in a three-dimensional network of quantum wires

Halperin, B. I., Yuval Oreg, A., Stern, A., Refael, G., Alicea, J., & von Oppen, F. (2012) · Physical Review B · doi:10.1103/physrevb.85.144501 · Cited by 178 · see citing works

Plug-and-Play Approach to Nonadiabatic Geometric Quantum Gates

Liu, B.-J., Song, X., Xue, Z., Wang, X., & Yung, M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.100501 · Cited by 177 · see citing works

Experimental signatures of spin superfluid ground state in canted antiferromagnet Cr 2 O 3 via nonlocal spin transport

Yuan, W., Zhu, Q., Su, T., Yao, Y., Xing, W., Chen, Y., Ma, Y., Lin, X., Shi, J., Shindou, R., et al. (2018) · Science Advances · doi:10.1126/sciadv.aat1098 · Cited by 171 · see citing works

Time-reversal invariant parafermions in interacting Rashba nanowires

Klinovaja, J., & Loss, D. (2014) · Physical Review B · doi:10.1103/physrevb.90.045118 · Cited by 170 · see citing works

Teleportation-based quantum information processing with Majorana zero modes

Vijay, S., & Fu, L. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.235446 · Cited by 165 · see citing works

Majorana Kramers doublets in dx2−y2 -wave superconductors with Rashba spin-orbit coupling

Wong, C. L. M., & Law, K. T. (2012) · Physical Review B · doi:10.1103/physrevb.86.184516 · Cited by 154 · see citing works

Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates

Yan, T., Liu, B.-J., Xu, K., Song, C., Liu, S., Zhang, Z., Deng, H., Yan, Z., Rong, H., Huang, K., et al. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.080501 · Cited by 153 · see citing works

Andreev rectifier: A nonlocal conductance signature of topological phase transitions

Rosdahl, T. Ö., Vuik, A., Kjærgaard, M., & Akhmerov, A. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.045421 · Cited by 133 · see citing works

Particle Number Fractionalization of an Atomic Fermi-Dirac Gas in an Optical Lattice

Ruostekoski, J., Dunne, G. V., & Javanainen, J. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.180401 · Cited by 126 · see citing works

Fractional charge, a sharp quantum observable

Kivelson, S. A., & Schrieffer, J. R. (1982) · Physical review. B, Condensed matter · doi:10.1103/physrevb.25.6447 · Cited by 124 · see citing works

Electronic Density Oscillations in Gold Atomic Chains Assembled Atom by Atom

Wallis, T. M., Nilius, N., & Ho, W. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.236802 · Cited by 121 · see citing works

High-Temperature Quantum Anomalous Hall Effect in n − p Codoped Topological Insulators

Qi, S., Qiao, Z., Deng, X., Cubuk, E. D., Chen, H., Zhu, W., Kaxiras, E., Zhang, S., Xu, X., & Zhang, Z. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.056804 · Cited by 115 · see citing works

Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy

Liu, C.-X., Sau, J. D., & Sarma, S. D. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.214502 · Cited by 108 · see citing works

Long-distance spin transport through a graphene quantum Hall antiferromagnet

Stepanov, P., Che, S., Shcherbakov, D., Yang, J., Chen, R., Thilahar, K., Voigt, G., Bockrath, M. W., Smirnov, D., Watanabe, K., et al. (2018) · Nature Physics · doi:10.1038/s41567-018-0161-5 · Cited by 106 · see citing works

High-Temperature Quantum Anomalous Hall Insulators in Lithium-Decorated Iron-Based Superconductor Materials

Li, Y., Li, J., Li, Y., Ye, M., Zheng, F., Zhang, Z., Fu, J., Duan, W., & Xu, Y. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.086401 · Cited by 103 · see citing works

Topological order and non-Abelian statistics in noncentrosymmetric s -wave superconductors

Fujimoto, S. (2008) · Physical Review B · doi:10.1103/physrevb.77.220501 · Cited by 99 · see citing works

Nonadiabatic effects in the braiding of non-Abelian anyons in topological superconductors

Cheng, M., Galitski, V. M., & Sarma, S. D. (2011) · Physical Review B · doi:10.1103/physrevb.84.104529 · Cited by 93 · see citing works

Quantifying wave-function overlaps in inhomogeneous Majorana nanowires

Peñaranda, F., Aguado, R., San-José, P., & Prada, E. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.235406 · Cited by 93 · see citing works

Dephasing of Majorana-based qubits

Knapp, C., Karzig, T., Lutchyn, R. M., & Nayak, C. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.125404 · Cited by 84 · see citing works

Gapped topological kink states and topological corner states in honeycomb lattice

Yang, Y., Jia, Z., Wu, Y., Xiao, R.-C., Hang, Z. H., Jiang, H., & Xie, X. C. (2020) · 中国科学通报：英文版 · doi:10.1016/j.scib.2020.01.024 · Cited by 82 · see citing works

Non-Abelian Braiding of Light

Iadecola, T., Schuster, T., & Chamon, C. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.073901 · Cited by 81 · see citing works

Spin-Triplet Excitonic Insulator: The Case of Semihydrogenated Graphene

Jiang, Z., Lou, W., Liu, Y., Li, Y., Song, H., Chang, K., Duan, W., & Zhang, S. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.166401 · Cited by 72 · see citing works

Quasi-one-dimensional quantum anomalous Hall systems as new platforms for scalable topological quantum computation

Chen, C., Xie, Y.-M., Liu, J., Lee, P. A., & Law, K. T. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.104504 · Cited by 67 · see citing works

Weak Measurement Protocols for Majorana Bound State Identification

Manousakis, J., Wille, C., Altland, A., Egger, R., Karsten Flensberg, B., & Hassler, F. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.096801 · Cited by 63 · see citing works

Majorana braiding dynamics in nanowires

Amorim, C. S., 海老原, 和., Yamakage, A., Tanaka, Y., & Sato, M. (2015) · Physical Review B · doi:10.1103/physrevb.91.174305 · Cited by 60 · see citing works

Fractional charge and spin states in topological insulator constrictions

Klinovaja, J., & Loss, D. (2015) · Physical Review B · doi:10.1103/physrevb.92.121410 · Cited by 58 · see citing works

Vacancy-induced bound states in topological insulators

Shan, W.-Y., Lü, J., Lu, H., & Shen, S.-Q. (2011) · Physical Review B · doi:10.1103/physrevb.84.035307 · Cited by 58 · see citing works

Poor man's topological quantum gate based on the Su-Schrieffer-Heeger model

Boross, P., Asbóth, J. K., Széchenyi, G., Oroszlány, L., & Pályi, A. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.045414 · Cited by 57 · see citing works

Fractional Fermions with Non-Abelian Statistics

Klinovaja, J., & Loss, D. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.126402 · Cited by 56 · see citing works

Majorana Zero Modes in Networks of Cooper-Pair Boxes: Topologically Ordered States and Topological Quantum Computation

Yuval Oreg, A., & von Oppen, F. (2019) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031218-013618 · Cited by 54 · see citing works

Majorana Superconducting Qubit

Schrade, C., & Fu, L. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.267002 · Cited by 50 · see citing works

Spin Superfluidity in the ν=0 Quantum Hall State of Graphene

Takei, S., Yacoby, A., Halperin, B. I., & Tserkovnyak, Y. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.216801 · Cited by 46 · see citing works

Prediction of a topological p + ip excitonic insulator with parity anomaly

Wang, R., Erten, O., Wang, B., & Xing, D. Y. (2019) · Nature Communications · doi:10.1038/s41467-018-08203-9 · Cited by 45 · see citing works

Higher-order topology and fractional charge in monolayer graphene

Liu, F., & Wakabayashi, K. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.023121 · Cited by 44 · see citing works

Spin superconductor in ferromagnetic graphene

Sun, Q., Jiang, Z., Yu, Y., & Xie, X. (2011) · Physical Review B · doi:10.1103/physrevb.84.214501 · Cited by 44 · see citing works

Parity-to-charge conversion in Majorana qubit readout

Munk, M. I. K., Schulenborg, J., Egger, R., & Flensberg, K. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.033254 · Cited by 44 · see citing works

Majorana braiding in realistic nanowire Y-junctions and tuning forks

Harper, F., Pushp, A., & Roy, R. (2019) · Physical Review Research · doi:10.1103/physrevresearch.1.033207 · Cited by 42 · see citing works

Non-Abelian Braiding of Dirac Fermionic Modes Using Topological Corner States in Higher-Order Topological Insulator

Wu, Y., Jiang, H. W., Liu, J., Liu, H., & Xie, X. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.036801 · Cited by 42 · see citing works

Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev

Mishmash, R. V., Bauer, B., von Oppen, F., & Alicea, J. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.075404 · Cited by 41 · see citing works

Symmetry-protected non-Abelian braiding of Majorana Kramers pairs

Gao, P., He, Y., & Liu, X.-J. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.224509 · Cited by 34 · see citing works

Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode

Wu, Y., Liu, H., Liu, J., Jiang, H., & Xie, X. C. (2019) · National Science Review · doi:10.1093/nsr/nwz189 · Cited by 33 · see citing works

Parity-to-charge conversion for readout of topological Majorana qubits

Széchenyi, G., & Pályi, A. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.235441 · Cited by 29 · see citing works

Millimetre-long transport of photogenerated carriers in topological insulators

Hou, Y., Wang, R., Xiao, R., McClintock, L., Travaglini, H. C., Francia, J. P., Fetsch, H., Erten, O., Savrasov, S. Y., Wang, B., et al. (2019) · Nature Communications · doi:10.1038/s41467-019-13711-3 · Cited by 28 · see citing works

Braiding properties of Majorana Kramers pairs

Wölms, K., Stern, A., & Karsten Flensberg, B. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.045417 · Cited by 27 · see citing works

Higher-order topological insulators in a magnetic field

Otaki, Y., & Fukui, T. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.245108 · Cited by 27 · see citing works

Effects of disorder on Coulomb-assisted braiding of Majorana zero modes

Fulga, I. C., van Heck, B., Burrello, M., & Hyart, T. (2013) · Physical Review B · doi:10.1103/physrevb.88.155435 · Cited by 26 · see citing works

Local Adiabatic Mixing of Kramers Pairs of Majorana Bound States

Wölms, K., Stern, A., & Karsten Flensberg, B. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.246401 · Cited by 26 · see citing works

Ginzburg–Landau-type theory of spin superconductivity

Bao, Z.-Q., Xie, X. C., & Sun, Q. (2013) · Nature Communications · doi:10.1038/ncomms3951 · Cited by 25 · see citing works

Spin-polarized ν=0 state of graphene: A spin superconductor

Sun, Q., & Xie, X. C. (2013) · Physical Review B · doi:10.1103/physrevb.87.245427 · Cited by 25 · see citing works

Dirac returns: Non-Abelian statistics of vortices with Dirac fermions

Shigehiro Yasui, B., Kazunori Itakura, A., & Nitta, M. (2012) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2012.02.007 · Cited by 25 · see citing works

Minimal setup for non-Abelian braiding of Majorana zero modes

Liu, J., Chen, W., Gong, M., Wu, Y., & Xie, X. C. (2021) · Science China Physics Mechanics and Astronomy · doi:10.1007/s11433-021-1773-3 · Cited by 25 · see citing works

Braiding of non-Abelian anyons using pairwise interactions

Burrello, M., van Heck, B., & Akhmerov, A. R. (2013) · Physical Review A · doi:10.1103/physreva.87.022343 · Cited by 24 · see citing works

Anomalous non-Abelian statistics for non-Hermitian generalization of Majorana zero modes

Zhao, X.-M., Guo, C.-X., Yang, M.-L., Heng, W., Liu, W., & Kou, S.-P. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.214502 · Cited by 24 · see citing works

Controlled Quantum Operations of a Semiconductor Three-Qubit System

Li, H.-O., Cao, G., Yu, G., Xiao, M., Guo, G., Jiang, H. W., & Guo, G. (2018) · Physical Review Applied · doi:10.1103/physrevapplied.9.024015 · Cited by 24 · see citing works

Coulomb drag in topological wires separated by an air gap

Du, L., Zheng, J., Chou, Y.-Z., Zhang, J., Wu, X., Sullivan, G., Ikhlassi, A., & Du, R.-R. (2021) · Nature Electronics · doi:10.1038/s41928-021-00603-y · Cited by 19 · see citing works

Non-Abelian statistics of Majorana zero modes in the presence of an Andreev bound state

Chen, W., Wang, J., Wu, Y., Qi, J., Liu, J., & Xie, X. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.054507 · Cited by 18 · see citing works

Even-odd interference effect in a topological superconducting wire

Liu, J., Song, J., Sun, Q., & Xie, X. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.195307 · Cited by 16 · see citing works

Flux quantization due to monopole and dipole currents

Chen, W., Horsch, P., & Manske, D. (2013) · Physical Review B · doi:10.1103/physrevb.87.214502 · Cited by 14 · see citing works

Theory for electric dipole superconductivity with an application for bilayer excitons

Jiang, Q.-D., Bao, Z.-Q., Sun, Q., & Xie, X. C. (2015) · Scientific Reports · doi:10.1038/srep11925 · Cited by 14 · see citing works

Non-Abelian Braiding in Spin Superconductors Utilizing the Aharonov-Casher Effect

Wu, Y., Jiang, H., Chen, H., Liu, H., Liu, J., & Xie, X. C. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.106804 · Cited by 13 · see citing works

Unitary symmetry-protected non-Abelian statistics of Majorana modes

Hong, J.-S., Poon, T. F. J., Zhang, L., & Liu, X.-J. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.024503 · Cited by 10 · see citing works

Unveiling non-Abelian statistics of vortex Majorana bound states in iron-based superconductors using fermionic modes

Gong, M., Wu, Y., Jiang, H. W., Liu, J., & Xie, X. C. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.014507 · Cited by 9 · see citing works

Recent advances in high-entropy superconductors

Zeng, L., Li, L., Li, K., Chen, R., & Luo, H. (2024) · NPG Asia Materials · doi:10.1038/s41427-024-00579-z · Cited by 38 · see citing works

Bloch oscillations of Fibonacci anyons

Zhou, X., Zhang, W., Yuan, H., & Zhang, X. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.094301 · Cited by 6 · see citing works

Unified model for non-Abelian braiding of Majorana and Dirac fermion zero modes

Huang, T., Zhang, R., Li, X., Liu, X.-J., Xie, X. C., & Wu, Y. (2025) · Science China Physics Mechanics and Astronomy · doi:10.1007/s11433-025-2808-x · Cited by 4 · see citing works

Phononic and electronic properties of the superconducting topological metal ThMo 2 Si 2 C

Shi, X., Li, J., Si, J., Shi, L.-T., Liu, P., & Wang, B. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.075129 · Cited by 4 · see citing works

Spontaneous spin superconductor state in ABCA-stacked tetralayer graphene

Li, S., Ren, Y.-H., Li, A.-L., & Jiang, H. W. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.174512 · Cited by 4 · see citing works

Editorial

Zhang, F. (2023) · Science China Physics Mechanics and Astronomy · doi:10.1007/s11433-023-2133-5 · Cited by 4 · see citing works

Sequencing one-dimensional Majorana materials for topological quantum computing

Minissale, M., Bondavalli, P., Figueira, M. S., & LAY, G. L. (2024) · Journal of Physics Materials · doi:10.1088/2515-7639/ad5763 · Cited by 3 · see citing works

狄拉克材料高次谐波的反常椭偏依赖（特邀）

Chen, 钱. Q., & Ruifeng, 陆. L. (2024) · ACTA PHOTONICA SINICA · doi:10.3788/gzxb20245306.0653201 · Cited by 2 · see citing works

Fractional spin Josephson effect in topological spin superconductors

Du, L., Jiang, H. W., Wu, Y., & Xie, X. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.094524

Cavity control of topological qubits: fusion rule, anyon braiding, and Majorana-Schrödinger cat states

Quiroga, L., Gómez-Ruiz, F. J., Bocanegra-Garay, I. A., Rodríguez, F. J., & Tejedor, C. (2025) · Physica Scripta · doi:10.1088/1402-4896/adf782

Shot noise signatures identifying non-Abelian properties of Jackiw-Rebbi zero modes

Ge, H., Chen, Z., Wu, Y., & Xie, X. C. (2026) · Physical review. B./Physical review. B · doi:10.1103/ztzf-984z

Using perturbed general solutions to transparently control robust spin–orbit qubits

Hai, K., Chen, Q., Luo, Y., & Hai, W. (2026) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ae895c

Unified model for non-Abelian braiding of Majorana and Dirac fermion zero modes

Huang, T., Zhang, R., Li, X., Liu, X.-J., Xie, X. C., & Wu, Y. (2025) · Science China Physics Mechanics and Astronomy · doi:10.1007/s11433-025-2808-x · Cited by 4 · see citing works

Non-Abelian Braiding of Dirac Fermionic Modes Using Topological Corner States in Higher-Order Topological Insulator

Wu, Y., Jiang, H. W., Liu, J., Liu, H., & Xie, X. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.036801 · Cited by 42 · see citing works

Majorana zero modes and topological quantum computation

Sarma, S. D., Freedman, M., & Nayak, C. (2015) · npj Quantum Information · doi:10.1038/npjqi.2015.1 · Cited by 1,180 · see citing works

Non-abelian statistics of Majorana modes and the applications to topological quantum computation

He, Y., Hong, J.-S., & Liu, X.-J. (2020) · Acta Physica Sinica · doi:10.7498/aps.69.20200812 · Cited by 10 · see citing works

Detecting and distinguishing Majorana zero modes with the scanning tunnelling microscope

Jäck, B., Xie, Y., & Yazdani, A. (2021) · Nature Reviews Physics · doi:10.1038/s42254-021-00328-z · Cited by 102 · see citing works