Evidence for a phase transition in three-dimensional lattice models

Sergey Sergeev

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

It was recently discovered that an eigenvector structure of commutative families of layer-to-layer matrices in three-dimensional lattice models is described by a two-dimensional spin lattice generalizing the notion of one-dimensional spin chains. We conjecture the relations between the two-dimensional spin lattice in the thermodynamic limit and the phase structure of three-dimensional lattice models. We consider two simplest cases: the homogeneous spin lattice related to the Zamolodchikov–Bazhanov–Baxter model and a “chess spin lattice” related to the Stroganov–Mangazeev elliptic solution of the modified tetrahedron equation. Evidence for the phase transition is obtained in the second case
Original languageEnglish
Pages (from-to)310-321
Number of pages12
JournalTheoretical and Mathematical Physics
Volume138
Issue number3
DOIs
Publication statusPublished - Mar 2004
Externally publishedYes

Fingerprint Dive into the research topics of 'Evidence for a phase transition in three-dimensional lattice models'. Together they form a unique fingerprint.

  • Cite this