Topological Devil’s Staircase in a Constrained Kagome Ising Antiferromagnet

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Authors: Afonso Rufino, Samuel Nyckees, Jeanne Colbois, Frédéric Mila
Cited by: 1
References: 80

Abstract

We show that the constrained Ising model on the kagome lattice with infinite first and third neighbor couplings undergoes an infinite series of thermal first-order transitions at which, as in the Kasteleyn transition, linear defects of infinite length condense. However, their density undergoes abrupt jumps because of the peculiar structure of the low temperature phase, which is only partially ordered and hosts a finite density of zero-energy domain walls. The number of linear defects between consecutive zero-energy domain walls is quantized to integer values, leading to a devil's staircase of topological origin. By contrast to the devil's staircase of the anisotropic next-nearest neighbor Ising and related models, the wave vector is not fixed to commensurate values inside each phase.

Fields of Study & Subjects

Advanced Condensed Matter Physics Topological Materials and Phenomena Theoretical and Computational Physics

Publication details

Journal / source
Physical Review Letters
Publisher
American Physical Society (APS)
Volume
136
Issue
8
Pages
086701–086701
Publication date
14 January 2026
Language
EN