Detection of XY behaviour in weakly anisotropic quantum antiferromagnets on the square lattice

Abstract

We consider the Heisenberg antiferromagnet on the square lattice with S=1/2 and very weak easy-plane exchange anisotropy; by means of the quantum Monte Carlo method, based on the continuous-time loop algorithm, we find that the thermodynamics of the model is highly sensitive to the presence of tiny anisotropies and is characterized by a crossover between isotropic and planar behaviour. We discuss the mechanism underlying the crossover phenomenon and show that it occurs at a temperature which is characteristic of the model. The expected Berezinskii-Kosterlitz-Thouless transition is observed below the crossover: a finite range of temperatures consequently opens for experimental detection of non-critical 2D XY behaviour. Direct comparison is made with uniform susceptibility data relative to the S=1/2 layered antiferromagnet Sr2CuO2Cl2.

arXiv comment4 pages, 4 figures; Physical Review Letters (in press)

References in corpus (5)

• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• The Loop Algorithm
• Asymptotic scaling of the square lattice quantum Heisenberg antiferromagnet
• Quantum Monte Carlo study of S=1/2 weakly-anisotropic antiferromagnets on the square lattice
• The Square-Lattice Heisenberg Antiferromagnet at Very Large Correlation Lengths

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