Regensburg 2022 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 21: Correlated Electrons: Poster Session
TT 21.17: Poster
Mittwoch, 7. September 2022, 15:00–18:00, P1
Berry Phases of Vison Transport in Z2 Topological Ordered States from Exact Fermion-Flux Lattice Dualities — Chuan Chen1,2, •Peng Rao2, and Sodemann Inti2,3 — 1Institute for Advanced Study, Tsinghua University, 100084 Beijing, China — 2Max-Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany — 3Institut für Theoretische Physik, Universität Leipzig, 04103 Leipzig, Germany
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 Z2 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 symmetry enriched topologically ordered states that can be either chiral, non-chiral, abelian or non-abelian, and whose numerical complexity reduces to diagonalizing 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 π phase when moving around a single plaquette.