Pith. sign in

REVIEW 1 cited by

Topological multicritical point in the Toric Code and 3D gauge Higgs Models

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 0804.3175 v1 pith:F55M5LPH submitted 2008-04-20 cond-mat.stat-mech cond-mat.other

I.S. Tupitsyn , A. Kitaev , N.V. Prokof'ev , P.C.E. Stamp This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.other
keywords gaugehiggsmodelmulticriticalpointcodediagramphase
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We report a new type of multicritical point that arises from competition between the Higgs and confinement transitions in a Z_2 gauge system. The phase diagram of the 3d gauge Higgs model has been obtained by Monte-Carlo simulation on large (up to 60^3) lattices. We find the transition lines continue as 2nd-order until merging into a 1st-order line. These findings pose the question of an effective field theory for a multicritical point involving noncommuting order parameters. A similar phase diagram is predicted for the 2-dimensional quantum toric code model with two external fields, h_z and h_x; this problem can be mapped onto an anisotropic 3D gauge Higgs model.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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

  1. Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions

    cond-mat.str-el 2026-08 conditional novelty 8.0 of 10

    A new sign-problem-free lattice Hamiltonian realizes the S3 quantum double with electric-magnetic duality as translation, yielding a tetracritical Ising boundary and three predicted topological transitions.

Pith tools