Journal
PHYSICAL REVIEW B
Volume 85, Issue 24, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.85.245132
Keywords
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Funding
- NSF [DMR-0904264]
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We discuss (2+1)-dimensional topological superconductors with N-f left-and right-moving Majorana edge modes and a Z(2) x Z(2) symmetry. In the absence of interactions, these phases are distinguished by an integral topological invariant N-f. With interactions, the edge state in the case of N-f = 8 is unstable against interactions, and a Z(2) x Z(2) invariant mass gap can be generated dynamically. We show that this phenomenon is closely related to the modular invariance of type II superstring theory. More generally, we show that the global gravitational anomaly of the nonchiral Majorana edge states is the physical manifestation of the bulk topological superconductors classified by Z(8).
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