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- W2527316095 abstract "We derive an effective $Z_2$ gauge theory to describe the quantum kagome ice (QKI) state that has been observed by Carrasquilla $textit{et. al.}$ in Monte Carlo studies of the $S = 1/2$ kagome XYZ model in a Zeeman field. The numerical results on QKI are consistent with, but do not confirm or rule out, the hypothesis that it is a $Z_2$ spin liquid. Our effective theory allows us to explore this hypothesis and make a striking prediction for future numerical studies, namely that symmetry-protected vison zero modes arise at lattice disclination defects, leading to a Curie defect term in the spin susceptibility, and a characteristic $(N_{dis} - 1) ln 2$ contribution to the entropy, where $N_{dis}$ is the number of disclinations. Only the $Z_2$ Ising symmetry is required to protect the vison zero modes. This is remarkable because a unitary $Z_2$ symmetry cannot be responsible for symmetry-protected degeneracies of local degrees of freedom. We also discuss other signatures of symmetry fractionalization in the $Z_2$ spin liquid, and phase transitions out of the $Z_2$ spin liquid to nearby ordered phases." @default.
- W2527316095 created "2016-10-07" @default.
- W2527316095 creator A5042333346 @default.
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- W2527316095 date "2017-02-16" @default.
- W2527316095 modified "2023-10-17" @default.
- W2527316095 title "Theory of quantum kagome ice and vison zero modes" @default.
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- W2527316095 doi "https://doi.org/10.1103/physrevb.95.075130" @default.
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