Evidence for deconfined $U(1)$ gauge theory at the transition between toric code and double semion

Maxime Dupont; Snir Gazit; Thomas Scaffidi

Evidence for deconfined U(1) gauge theory at the transition between toric code and double semion

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2008.06509 v3 pith:YOVLRKUM submitted 2020-08-14 cond-mat.str-el

Evidence for deconfined U(1) gauge theory at the transition between toric code and double semion

Maxime Dupont , Snir Gazit , Thomas Scaffidi This is my paper

classification cond-mat.str-el

keywords phasecodedoubledualevidencegaugeisingsemion

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

Building on quantum Monte Carlo simulations, we study the phase diagram of a one-parameter Hamiltonian interpolating between trivial and topological Ising paramagnets in two dimensions, which are dual to the toric code and the double semion. We discover an intermediate phase with stripe order which spontaneously breaks the protecting Ising symmetry. Remarkably, we find evidence that this intervening phase is gapless due to the incommensurability of the stripe pattern and that it is dual to a $U(1)$ gauge theory exhibiting Cantor deconfinement.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Twisted quantum doubles are sign problem-free
cond-mat.str-el 2025-09 unverdicted novelty 8.0

Twisted quantum double phases for finite groups can be realized in sign problem-free local Hamiltonians via stochastic series expansion, contrary to the prior belief that non-positive wavefunctions imply an intrinsic ...