Two-dimensional spin liquids with Z[subscript 2] topological order in an array of quantum wires
Insulating Z[subscript 2] spin liquids are a phase of matter with bulk anyonic quasiparticle excitations and ground-state degeneracies on manifolds with nontrivial topology. We construct a time-reversal symmetric Z[subscript 2] spin liquid in two spatial dimensions using an array of quantum wires. W...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society,
2017-02-02T19:25:11Z.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | Insulating Z[subscript 2] spin liquids are a phase of matter with bulk anyonic quasiparticle excitations and ground-state degeneracies on manifolds with nontrivial topology. We construct a time-reversal symmetric Z[subscript 2] spin liquid in two spatial dimensions using an array of quantum wires. We identify the anyons as kinks in the appropriate Luttinger-liquid description, compute their mutual statistics, and construct local operators that transport these quasiparticles. We also present a construction of a fractionalized Fermi liquid (FL*) by coupling the spin sector of the Z[subscript 2] spin liquid to a Fermi liquid via a Kondo-like coupling. Gordon and Betty Moore Foundation (Postdoctoral Fellowship Grant GBMF-4303) National Science Foundation (U.S.) (Grant DMR-13001648) |
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