Pith. sign in

REVIEW 1 cited by

Critical temperature of Heisenberg models on regular trees, via random loops

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 1803.11430 v2 pith:RKXCLMW3 submitted 2018-03-30 math-ph cond-mat.stat-mechmath.MPmath.PR

Jakob E. Björnberg , Daniel Ueltschi This is my paper · ORCID
classification math-phcond-mat.stat-mechmath.MPmath.PR
keywords criticalloopsmodelrandomregularsystemstemperaturetrees
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We estimate the critical temperature of a family of quantum spin systems on regular trees of large degree. The systems include the spin-$\frac12$ XXZ model and the spin-1 nematic model. Our formula is conjectured to be valid for large-dimensional cubic lattices. Our method of proof uses a probabilistic representation in terms of random loops.

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. Critical Parameters for Loop and Bernoulli Percolation

    math.PR 2019-08 conditional novelty 7.0 of 10

    Infinite loops in random loop models on bounded-degree graphs occur strictly later than infinite clusters in the associated Bernoulli percolation.

Pith tools