Spin-liquid behaviour and the interplay between Pokrovsky-Talapov and Ising criticality in the distorted, triangular-lattice, dipolar Ising antiferromagnet
Andrew Smerald, Frederic Mila

TL;DR
This paper investigates the complex phase behavior of a dipolar Ising model on a distorted triangular lattice, revealing a classical spin-liquid phase, tunable criticality, and diverse phase transitions including Pokrovsky-Talapov and Ising types.
Contribution
It demonstrates how dipolar interactions and lattice distortions influence spin-liquid states and critical phenomena, highlighting the interplay between different universality classes in a realistic model.
Findings
Identification of a classical spin-liquid phase at intermediate temperatures.
Tuning of critical behavior between string Luttinger liquid and domain-wall states.
Observation of phase transitions with crossover between Pokrovsky-Talapov and 2D-Ising universality.
Abstract
We study the triangular-lattice Ising model with dipolar interactions, inspired by its realisation in artificial arrays of nanomagnets. We show that a classical spin-liquid forms at intermediate temperatures, and that its behaviour can be tuned by temperature and/or a small lattice distortion between a string Luttinger liquid and a domain-wall-network state. At low temperature there is a transition into a magnetically ordered phase, which can be first-order or continous with a crossover in the critical behaviour between Pokrovsky-Talapov and 2D-Ising universality. When the Pokrovsky-Talapov criticality dominates, the transition is essentially of the Kasteleyn type.
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