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These notes are based on lectures at the PSSCMP/PiTP summer school that was held at Princeton University and the Institute for Advanced Study in July, 2015.
C. Herring, “Accidental Degeneracy In The Energy Bands Of Crystals,” Phys. Rev. 52
1937
Earlier work this paper cites.
P. R. Wallace, “The Band Theory Of Graphite,” Phys. Rev. 71
1947
Earlier work this paper cites.
S. Adler, “Axial Vector Vertex In Spinor Electrodynamics,” Phys. Rev. 177
1969
Earlier work this paper cites.
J. S. Bell and R. Jackiw, “A PCAC Puzzle: π 0 → γ γ \pi^{0}\to\gamma\gamma In The Sigma Model,” Nuovo Cimento A60
1969
Earlier work this paper cites.
R. Jackiw and C. Rebbi, “Solitons With Fermion Number 1/2,” Phys. Rev. D13
1976
Earlier work this paper cites.
H. B. Nielsen and M. Ninomiya, “A No-Go Theorem For Regularizing Chiral fermions,” Phys. Lett. B105
1981
Earlier work this paper cites.
D. Friedan, “A Proof Of The Nielsen-Ninomiya Theorem,” Commun. Math. Phys. 85
1982
Earlier work this paper cites.
D. J. Thouless, M. Kohmoto, M. P. Nightingale, M. den Nijs, “Quantized Hall Conductance In A Two-Dimensional Periodic Potential,” Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
D. J. Thouless, “Quantization Of Particle Transport,” Phys. Rev. B27
1983
Earlier work this paper cites.
N. Redlich, “Parity Violation And Gauge Noninvariance of the Effective Gauge Field Action In Three Dimensions,” Phys. Rev. D29
1984
Earlier work this paper cites.
G. Semenoff, “Condensed Matter Simulation Of A Three-Dimensional Anomaly,” Phys. Lett. 53
1984
Cited alongside, same era.
D. P. DiVincenzo and E. P. Mele, “Self-Consistent Effective Mass Theory For Intralayer Screening In Graphite Intercalation Compounds,” Phys. Rev. B29
1984
Cited alongside, same era.
C. G. Callan, Jr., and J. A. Harvey, “Anomalies And Fermion Zero-Modes On Strings And Domain Walls,” Nucl.Phys. B250
1985
Cited alongside, same era.
J. E. Avron, L. Sadun, J. Segert, and B. Simon, “Topological Invariants In Fermi Systems With Time-Reversal Invariance,” Phys. Rev. Lett. 61
1988
Cited alongside, same era.
X.-G. Wen, “Topological Orders and Edge Excitations in FQH States,” Adv. Phys. 44
1995
Cited alongside, same era.
2012
Later among the works it cites.
S. M. Young, S. Zaheed, J. C. Y. Teo, and C. L. Kane, “Dirac Semimetal In Three Dimensions,” Phys. Rev. Lett. bf 108 (2012)140405
2012
Later among the works it cites.
B. A. Bernevig and T. L. Hughes, Topological Insulators And Topological Superconductors
2013
Later among the works it cites.
2014
Later among the works it cites.
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C. L. Kane and E. J. Mele, “Quantum Spin Hall Effect In Graphene,” Phys. Rev. Lett. 95
2005
Cited alongside, same era.
L. Fu, E. Mele, and C. Kane, “Topological Insulators In Three Dimensions,” Phys. Rev. Lett. 98
2007
Cited alongside, same era.
2007
Cited alongside, same era.
M. Z. Hasan and C. L. Kane, “Topological Insulators,” Rev. Mod. Phys. 82
2010
Cited alongside, same era.
2011
Cited alongside, same era.
Cited in the paper.
E. Witten, “Free fermions And Topological Phases,” arXiv:1508.04715
Cited in the paper.
2015
Closest in time.
2015
Closest in time.
F. D. M. Haldane, “Model For A Quantum Hall Effect Without Landau Levels: Condensed Matter Realization Of The ‘Parity Anomaly,’ ” Phys. Rev. Lett. 61
2016
Closest in time.
Xiao-Liang Qi and Shou-Cheng Zhang, “Topological Insulators And Superconductors,” Rev. Mod. Phys. 83
2026
Closest in time.
A. Niemi and G. Semenoff, “Anomaly-Induced Fermion Fractionization And Effective Actions In Odd-Dimensional Spacetimes,” Phys. Rev. Lett. 51
2077
Closest in time.