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Phase transitions in topological lattice models via topological symmetry breaking

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arxiv 1012.0317 v1 pith:YDM36USJ submitted 2010-12-01 cond-mat.str-el

Phase transitions in topological lattice models via topological symmetry breaking

classification cond-mat.str-el
keywords topologicaltransitionslatticemodelspseudospinsuperconductoruniversalitywave
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study transitions between phases of matter with topological order. By studying these transitions in exactly solvable lattice models we show how universality classes may be identified and critical properties described. As a familiar example to elucidate our results concretely, we describe in detail a transition between a fully gapped achiral 2D $p$-wave superconductor ($p+ip$ for pseudospin up/$p-ip$ for pseudospin down) to an $s$-wave superconductor which we show to be in the 2D transverse field Ising universality class.

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  1. Proliferation transitions from a topological phase in $2+1$ dimensions

    cond-mat.str-el 2026-02 conditional novelty 7.0

    A general 2+1d transition theory out of a topological phase, driven by one Abelian anyon, is constructed and shown to depend on a single integer parameter, with p=0 giving gauging.