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One of the most striking features of quantum mechanics is the appearance of phases of matter with topological origins.
Solitons with fermion number ½
Jackiw, R. & Rebbi, C · 1976
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Solitons in polyacetylene
Su, W. P., Schrieffer, J. R. & Heeger, A. J · 1979
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New method for high-accuracy determination of the fine-structure constant based on quantized hall resistance
Klitzing, K. v., Dorda, G. & Pepper, M · 1980
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Solitons with fermion number in condensed matter and relativistic field theories
Jackiw, R. & Schrieffer, J. R · 1981
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Quantum random walks
Aharonov, Y., Davidovich, L. & Zagury, N · 1993
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Topological origin of zero-energy edge states in particle-hole symmetric systems
Ryu, S. & Hatsugai, Y · 2002
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Fault-tolerant quantum computation by anyons
Kitaev, A. Y · 2003
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Creation of effective magnetic fields in optical lattices: the hofstadter butterfly for cold neutral atoms
Jaksch, D. & Zoller, P · 2003
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Fractional quantum hall states of atoms in optical lattices
Sørensen, A. S., Demler, E. & Lukin, M. D · 2005
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Cold atoms in non-abelian gauge potentials: From the hofstadter ”moth” to lattice gauge theory
Osterloh, K., Baig, M., Santos, L., Zoller, P. & Lewenstein, M · 2005
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Spin hall effects for cold atoms in a light-induced gauge potential
Zhu, S.-L., Fu, H., Wu, C.-J., Zhang, S.-C. & Duan, L.-M · 2006
Cited alongside, same era.
Non-abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M. & Das Sarma, S · 2008
Cited alongside, same era.
Superconducting proximity effect and majorana fermions at the surface of a topological insulator
Fu, L. & Kane, C. L · 2008
Cited alongside, same era.
Experimental realization of a three-dimensional topological insulator, Bi2Te3
Chen, Y. L. et al · 2009
Cited alongside, same era.
Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
Xia, Y. et al · 2009
Cited alongside, same era.
Observation of unidirectional backscattering-immune topological electromagnetic states
Exploring topological phases with quantum walks
Kitagawa, T., Rudner, M. S., Berg, E. & Demler, E · 2010
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Topological characterization of periodically driven quantum systems
Kitagawa, T., Berg, E., Rudner, M. & Demler, E · 2010
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Discrete single-photon quantum walks with tunable decoherence
Broome, M. A. et al · 2010
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Colloquium: Topological insulators
Hasan, M. Z. & Kane, C. L · 2010
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Realization of a quantum walk with one and two trapped ions
Zähringer, F. et al · 2010
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Photons walking the line: A quantum walk with adjustable coin operations
Schreiber, A. et al · 2010
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Wang, Z., Chong, Y., Joannopoulos, J. D. & Soljačić, M · 2009
Cited alongside, same era.
Quantum walk in position space with single optically trapped atoms
Karski, M. et al · 2009
Cited alongside, same era.
Quantum walk of a trapped ion in phase space
Schmitz, H. et al · 2009
Cited alongside, same era.
Non-Abelian statistics and topological quantum information processing in 1D wire networks
Alicea, J., Oreg, Y., Refael, G., von Oppen, F. & Fisher, M. P. A · 2010
Cited alongside, same era.
Observation of topological order in a superconducting doped topological insulator
Wray, L. A. et al · 2010
Cited alongside, same era.
Topological insulators and superconductors: tenfold way and dimensional hierarchy
Ryu, S., Schnyder, A. P., Furusaki, A. & Ludwig, A. W. W · 2010
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Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
Jiang, L. et al · 2011
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Floquet topological insulator in semiconductor quantum wells
Lindner, N. H., Refael, G. & Galitski, V · 2011
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Topological insulators and superconductors
Qi, X. & Zhang, S · 2026
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