Thermodynamics and fractal dynamics of nematic spin ice, a doubly frustrated pyrochlore Ising magnet

Fuente: arXiv
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Main Authors: Hallén, Jonathan N., Castelnovo, Claudio, Moessner, Roderich
Format: Preprint
Published: 2023
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_version_ 1866914661862998016
author Hallén, Jonathan N.
Castelnovo, Claudio
Moessner, Roderich
author_facet Hallén, Jonathan N.
Castelnovo, Claudio
Moessner, Roderich
contents The Ising antiferromagnets on the triangular and on the pyrochlore lattices are two of the most iconic examples of magnetic frustration, paradigmatically illustrating many exotic properties such as emergent gauge fields, fractionalisation, and topological order. In this work, we show that the two instances of frustration can, remarkably, be combined in a single system, where they coexist without inducing conventional long range ordering. We show that the system undergoes a first order phase transition upon lowering the temperature, into a yet different frustrated phase that we characterise to exhibit nematic order. We argue that an extensive degeneracy survives down to zero temperature, at odds with a customary Pauling estimate. Dynamically, we find evidence of anomalous noise in the power spectral density, arising from an effectively anisotropic fractal motion of monopoles at low temperature.
format Preprint
id arxiv_https___arxiv_org_abs_2308_16234
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Thermodynamics and fractal dynamics of nematic spin ice, a doubly frustrated pyrochlore Ising magnet
Hallén, Jonathan N.
Castelnovo, Claudio
Moessner, Roderich
Strongly Correlated Electrons
Statistical Mechanics
The Ising antiferromagnets on the triangular and on the pyrochlore lattices are two of the most iconic examples of magnetic frustration, paradigmatically illustrating many exotic properties such as emergent gauge fields, fractionalisation, and topological order. In this work, we show that the two instances of frustration can, remarkably, be combined in a single system, where they coexist without inducing conventional long range ordering. We show that the system undergoes a first order phase transition upon lowering the temperature, into a yet different frustrated phase that we characterise to exhibit nematic order. We argue that an extensive degeneracy survives down to zero temperature, at odds with a customary Pauling estimate. Dynamically, we find evidence of anomalous noise in the power spectral density, arising from an effectively anisotropic fractal motion of monopoles at low temperature.
title Thermodynamics and fractal dynamics of nematic spin ice, a doubly frustrated pyrochlore Ising magnet
topic Strongly Correlated Electrons
Statistical Mechanics
url https://arxiv.org/abs/2308.16234