Low-Temperature Broken-Symmetry Phases of Spiral Antiferromagnets

2004/09/21 by Luca Capriotti, Subir Sachdev · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.93.257206

published as Physical Review Letters 93, 257206 (2004) · 4 pages, 5 figures

arxiv created 2004/09/21 · openalex publication_date 2004/12/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We study Heisenberg antiferromagnets with nearest- (J₁) and third- (J₃) neighbor exchange on the square lattice. In the limit of spin S\ensuremath→\ensuremath∞, there is a zero temperature (T) Lifshitz point at J₃=(1)/(4)J₁, with long-range spiral spin order at T=0 for J₃>(1)/(4)J₁. We present classical Monte Carlo simulations and a theory for T>0 crossovers near the Lifshitz point: spin rotation symmetry is restored at any T>0, but there is a broken lattice reflection symmetry for 0\ensuremath≤T<T_c\ensuremath∼(J₃\ensuremath-(1)/(4)J₁)S². The transition at T=T_c is consistent with Ising universality. We also discuss the quantum phase diagram for finite S.

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