Exactly Solvable Model for Two Dimensional Topological Superconductor
| Autor: | Shang-Qiang Ning, Xie Chen, Zitao Wang |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Superconductivity
Physics Strongly Correlated Electrons (cond-mat.str-el) FOS: Physical sciences 02 engineering and technology Fermion 021001 nanoscience & nanotechnology Topology 01 natural sciences law.invention Condensed Matter - Strongly Correlated Electrons symbols.namesake MAJORANA Projector law Lattice (order) 0103 physical sciences symbols 010306 general physics 0210 nano-technology Ground state Wave function Hamiltonian (quantum mechanics) |
| DOI: | 10.48550/arxiv.1708.01684 |
| Popis: | In this paper, we present an exactly solvable model for two dimensional topological superconductor 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 $Z_2$ symmetry in Ref. \onlinecite{Tarantino2016,Ware2016}. 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 $T^2=-1$ transformation rule for the fermions is crucial for the existence of such a nontrivial phase; with $T^2=1$, our construction does not work. Comment: 7 pages |
| Databáze: | OpenAIRE |
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