Classification of two-dimensional topological crystalline superconductors and Majorana bound states at disclinations
- 5 June 2014
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 89 (22)
- https://doi.org/10.1103/physrevb.89.224503
Abstract
We classify discrete-rotation symmetric topological crystalline superconductors (TCS) in two dimensions and provide the criteria for a zero-energy Majorana bound state (MBS) to be present at composite defects made from magnetic flux, dislocations, and disclinations. In addition to the Chern number that encodes chirality, discrete rotation symmetry further divides TCS into distinct stable topological classes according to the rotation eigenspectrum of Bogoliubov-de Gennes quasiparticles. Conical crystalline defects are shown to be able to accommodate robust MBS when a certain combination of these bulk topological invariants is nontrivial as dictated by the index theorems proved within. The number parity of MBS is counted by a -valued index that solely depends on the disclination and the topological class of the TCS. We also discuss the implications for corner-bound Majorana modes on the boundary of topological crystalline superconductors. DOI: http://dx.doi.org/10.1103/PhysRevB.89.224503 ©2014 American Physical Society
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This publication has 78 references indexed in Scilit:
- Classification of topological insulators and superconductors in the presence of reflection symmetryPhysical Review B, 2013
- Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application toPhysical Review Letters, 2013
- Topological Mirror SuperconductivityPhysical Review Letters, 2013
- Quantized response and topology of magnetic insulators with inversion symmetryPhysical Review B, 2012
- Topological insulators and superconductorsReviews of Modern Physics, 2011
- Inversion-symmetric topological insulatorsPhysical Review B, 2011
- Topological Crystalline InsulatorsPhysical Review Letters, 2011
- Colloquium: Topological insulatorsReviews of Modern Physics, 2010
- Surface states and topological invariants in three-dimensional topological insulators: Application toPhysical Review B, 2008
- Quantum Spin Hall Effect in GraphenePhysical Review Letters, 2005