Cross-Correlated Responses of Topological Superconductors and Superfluids

Details Cross-Correlated Responses of Topological Superconductors and Superfluids Cross-Correlated Responses of Topological Superconductors and Superfluids

2011-08-25

arxiv.org/abs/1108.5054v2

Phys. Rev. Lett. 108, 026802 (2012)

Physics

Condensed Matter

Superconductivity

7 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.108.026802

We study nontrivial responses of topological superconductors and superfluids to the temperature gradient and rotation of the system. In two-dimensional gapped systems, the Str\v{e}da formula for the electric Hall conductivity is generalized to the thermal Hall conductivity. Applying this formula to the Majorana surface states of three-dimensional topological superconductors predicts cross-correlated responses between the orbital angular momentum and thermal polarization (entropy polarization). These results can be naturally related to the gravitoelectromagnetism description of three-dimensional topological superconductors and superfluids, analogous to the topological magnetoelectric effect in ${\mathbb{Z}}_2$ topological insulators.

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