Exactly solvable model for two-dimensional topological superconductors

Zitao Wang; Shang-Qiang Ning; Xie Chen

doi:10.1103/PhysRevB.98.094502

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Exactly solvable model for two-dimensional topological superconductors

Zitao Wang, Shang-Qiang Ning, Xie Chen

DOI 10.1103/PhysRevB.98.094502 · Physical Review B

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Abstract

In this paper, we present an exactly solvable model for two-dimensional topological superconductors with helical Majorana edge modes protected by time-reversal symmetry. Our construction is based on the idea of decorated domain walls and makes use of the Kasteleyn orientation on a two-dimensional lattice, which was used for the construction of the symmetry protected fermion phase with Z2 symmetry by Tarantino et al. and Ware et al. By decorating the time-reversal domain walls with spinful Majorana chains, we are able to construct a commuting projector Hamiltonian with zero correlation length ground state wave function that realizes a strongly interacting version of the two-dimensional topological superconductor. From our construction, it can be seen that the T2=−1 transformation rule for the fermions is crucial for the existence of such a nontrivial phase; with T2=1, our construction does not work.