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- W4300979693 abstract "We develop an exact map of all states and operators from 2D lattices of spins-$1/2$ into lattices of fermions and bosons with mutual semionic statistical interaction that goes beyond previous dualities of $mathbb{Z}_2$ lattice gauge theories because it does not rely on imposing local conservation laws and captures the motion of ``charges'' and ``fluxes'' on equal footing. This map allows to explicitly compute the Berry phases for the transport of fluxes in a large class of symmetry enriched topologically ordered states with emergent $mathbb{Z}_2$ gauge fields that includes chiral, non-chiral, abelian or non-abelian, that can be perturbatively connected to models where the visons are static and the emergent fermionic spinons have a non-interacting dispersion. The numerical complexity of computing such vison phases reduces therefore to computing overlaps of ground states of free-fermion Hamiltonians. Among other results, we establish numerically the conditions under which the Majorana-carrying flux excitation in Ising-Topologically-Ordered states enriched by translations acquires $0$ or $pi$ phase when moving around a single plaquette." @default.
- W4300979693 created "2022-10-04" @default.
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- W4300979693 date "2022-10-04" @default.
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- W4300979693 title "Berry phases of vison transport in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi mathvariant=double-struck>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> topologically ordered states from exact fermion-flux lattice dualities" @default.
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- W4300979693 doi "https://doi.org/10.1103/physrevresearch.4.043003" @default.
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