Quantized Response and Topology of Insulators with Inversion Symmetry

Mineyev, V. P. and G. E. Volovik, Phys. Rev. B 18

1978

Earlier work this paper cites.

Thouless, D.J., M. Kohmoto, M. P. Nightingale, and M. denNijs, Phys. Rev. Lett. 49

1982

Earlier work this paper cites.

Avron, J. E., R. Seiler, and B. Simon, Phys. Rev. Lett. 51

1983

Earlier work this paper cites.

Vanderbilt, David and R. D. King-Smith, Phys. Rev. B 48

1993

Earlier work this paper cites.

Jackson, J.D., Classical Electrodynamics (3rd ed.), New York: Wiley (1999)

1999

Earlier work this paper cites.

Nakahara, M., Geometry, Topology and Physics (2nd ed.), Bristol: Institute of Physics Publishing (2003); Hatcher, Allen, Vector Bundles and K-Theory, www.math.cornell.edu/~hatcher/VBKT/VBpage.html; Hatcher, Allen, Algebraic Topology, Cambridge: Cambridge University Press (2002); “Geometry, Topology and Physics” presents algebraic topology with some applications to physics, and in particular works out the homotopy groups of U ⁡ ( n ) U(n) using Chern numbers. The topic of “Vector Bundles and K-Theory” is closely related to classifying topological insulators. (The “K-group” of a d d -dimensional torus is basically the set of classes of topological insulators in d d -dimensions, under the operation of direct sum.) “Algebraic Topology” explains the exact sequence used in appendix A

2002

Earlier work this paper cites.

Peschel, I., J. Phys. A., 36

2003

Earlier work this paper cites.

Botero, A. and B. Reznik, Phys. Lett. A, 331

2006

Cited alongside, same era.

Fu, L. and C. L. Kane. Phys. Rev. B 76

2007

Cited alongside, same era.

Murakami, Shuichi New J. Phys. 9

2007

Cited alongside, same era.

Resta, R. and D. Vanderbilt in Topics in Applied Physics 105

2007

Cited alongside, same era.

Qi, X.-L., T.L. Hughes and S.-C. Zhang, Phys. Rev. B 78

2008

Cited alongside, same era.

Moore, J. E., Y. Ran and X. G. Wen. Phys. Rev. Lett. 101

2008

Cited alongside, same era.

Kitaev, A., in Proceedings of the L. D. Landau, Chernogolokova (Russia), Memorial Conference “Advances in Theoretical Physics,” 1134

Essin, A.M., Moore, J.E., and Vanderbilt,D. , Phys. Rev. Lett. 102

2009

Later among the works it cites.

Hasan, M.Z. and C. L. Kane, arXiv:1002.3895; Qi, X.-L. and S.-C. Zhang, arXiv:1008.2026; Moore, J.E., Nature 464

Original

2010

Closest in time.

Mong, R.S.K. , A. M. Essin, J. E. Moore, Physical Review B 81

2010

Closest in time.

Chen, Y.L. et al., Science, 329

2010

Closest in time.

Wang, Zhong, Xiao-Liang Qi and Shou-Cheng Zhang. New J. Phys. 12

2010

Closest in time.

Fidkowski, L., Phys. Rev. Lett. 104

2010

Closest in time.