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- W2766744528 abstract "We theoretically address spin chain analogs of the Kitaev quantum spin model on the honeycomb lattice. The emergent quantum spin-liquid phases or Anderson resonating valence-bond (RVB) states can be understood, as an effective model, in terms of $p$-wave superconductivity and Majorana fermions. We derive a generalized phase diagram for the two-leg ladder system with tunable interaction strengths between chains allowing us to vary the shape of the lattice (from square to honeycomb ribbon or brickwall ladder). We evaluate the winding number associated with possible emergent (topological) gapless modes at the edges. In the ${A}_{z}$ phase, as a result of the emergent ${mathbf{Z}}_{2}$ gauge fields and $ensuremath{pi}$-flux ground state, one may build spin-1/2 (loop) qubit operators by analogy to the toric code. In addition, we show how the intermediate gapless $B$ phase evolves in the generalized ladder model. For the brick-wall ladder, the $B$ phase is reduced to one line, which is analyzed through perturbation theory in a rung tensor product states representation and bosonization. Finally, we show that doping with a few holes can result in the formation of hole pairs and leads to a mapping with the Su-Schrieffer-Heeger model in polyacetylene; a superconducting-insulating quantum phase transition for these hole pairs is accessible, as well as related topological properties." @default.
- W2766744528 created "2017-11-10" @default.
- W2766744528 creator A5046471767 @default.
- W2766744528 creator A5051233637 @default.
- W2766744528 creator A5073929620 @default.
- W2766744528 date "2017-11-07" @default.
- W2766744528 modified "2023-10-13" @default.
- W2766744528 title "Majorana spin liquids, topology, and superconductivity in ladders" @default.
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