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Main Authors: Szabo, Attila, Grigera, Santiago A., Holdsworth, P. C. W., Jaubert, Ludovic D. C., Moessner, Roderich, Slobinsky, Demian G., Sturla, Mauricio, Borzi, Rodolfo A.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2406.09336
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author Szabo, Attila
Grigera, Santiago A.
Holdsworth, P. C. W.
Jaubert, Ludovic D. C.
Moessner, Roderich
Slobinsky, Demian G.
Sturla, Mauricio
Borzi, Rodolfo A.
author_facet Szabo, Attila
Grigera, Santiago A.
Holdsworth, P. C. W.
Jaubert, Ludovic D. C.
Moessner, Roderich
Slobinsky, Demian G.
Sturla, Mauricio
Borzi, Rodolfo A.
contents We investigate a variant of spin ice whose degenerate ground states are densely packed monopole configurations. An applied field drives this model through a Z2 confinement transition. This phase change is a variant of the U(1) Kasteleyn transition, but instead of saturated order the system has fluctuations in the confined phase, and shows critical scaling on both sides of the transition. Remarkably, the magnetic response scales with the critical exponent of the specific heat in the 3D Ising universality class. We prove this universality using a Kramers--Wannier duality to map to an Ising model. The dual order parameter maps back to a non-local string order parameter in the original model, invisible to any local probe. Further, we describe the transition in terms of a bosonic field theory including a pairing term.
format Preprint
id arxiv_https___arxiv_org_abs_2406_09336
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
Szabo, Attila
Grigera, Santiago A.
Holdsworth, P. C. W.
Jaubert, Ludovic D. C.
Moessner, Roderich
Slobinsky, Demian G.
Sturla, Mauricio
Borzi, Rodolfo A.
Strongly Correlated Electrons
Statistical Mechanics
We investigate a variant of spin ice whose degenerate ground states are densely packed monopole configurations. An applied field drives this model through a Z2 confinement transition. This phase change is a variant of the U(1) Kasteleyn transition, but instead of saturated order the system has fluctuations in the confined phase, and shows critical scaling on both sides of the transition. Remarkably, the magnetic response scales with the critical exponent of the specific heat in the 3D Ising universality class. We prove this universality using a Kramers--Wannier duality to map to an Ising model. The dual order parameter maps back to a non-local string order parameter in the original model, invisible to any local probe. Further, we describe the transition in terms of a bosonic field theory including a pairing term.
title Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
topic Strongly Correlated Electrons
Statistical Mechanics
url https://arxiv.org/abs/2406.09336