Topological invariants of time reversal invariant superconductors
Rahul Roy
TL;DR
This paper investigates the topological invariants of gapped time reversal invariant superconductors by mapping their Hamiltonians, identifying Z2 invariants in 2D and 3D, and discussing properties of topologically non-trivial states.
Contribution
It introduces a method to compute topological invariants of time reversal invariant superconductors and characterizes their properties in different dimensions.
Findings
One Z2 invariant in two dimensions.
Four Z2 invariants in three dimensions.
Properties of states with non-trivial topological invariants discussed.
Abstract
The topological invariants of gapped time reversal invariant lattice superconductors are studied by mapping the superconducting mean field Hamiltonian to a Bloch Hamiltonian. There is a single invariant in two dimensions and four such invariants in three dimensions. We briefly discuss the properties of states with non-trivial topological invariants.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Topological Materials and Phenomena · Cold Atom Physics and Bose-Einstein Condensates