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Weak indices and dislocations in general topological band structures · Around

2010

Weak indices and dislocations in general topological band structures

Ran, Ying

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It has recently been shown that crystalline defects - dislocation lines - in three dimensional topological insulators, can host protected one dimensional modes propagating along their length.

We generalize this observation to the case of topological superconductors and other insulators of the Altland Zirnbauer classification, in d=2,3 dimensions.
In general, protected dislocation modes are controlled by the topological indices in (d-1) dimensions.
This is shown by relating this feature to characteristic properties of surface states of these topological phases.

Built on

W. P. Su, J. R. Schrieffer, and A. J. Heeger, Phys. Rev. Lett. 42
1979
Earlier work this paper cites.
C. Callan and J. Harvey, Nuclear Physics B 250
1985
Earlier work this paper cites.
E. Fradkin, E. Dagotto, and D. Boyanovsky, Phys. Rev. Lett. 57
1986
Earlier work this paper cites.
D. Boyanovsky, E. Dagotto, and E. Fradkin, Nuclear Physics B 285
1987
Earlier work this paper cites.
B. I. Halperin, Jpn. J. Appl. Phys. 26, Suppl. 26-3,
1987
Earlier work this paper cites.
A. J. Heeger, S. Kivelson, J. R. Schrieffer, and W. P. Su, Rev. Mod. Phys. 60
1988
Earlier work this paper cites.
A. Altland and M. R. Zirnbauer, Phys. Rev. B 55
1997
Earlier work this paper cites.
T. Senthil, J. B. Marston, and M. P. A. Fisher, Phys. Rev. B 60
1999
Earlier work this paper cites.

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