We study the critical and thermodynamic properties of an S = 1/2 two-dimensional quantum XXZ antiferromagnet with weak easy-plane anisotropy using the continuous-time quantum Monte Carlo method based on the loop-cluster algorithm. A detailed finite-size scaling analysis reveals that the model displays a finite temperature Berezinskii-Kosterlitz-Thouless (BKT) transition for anisotropy as small as 10(-3), the dominant isotropic coupling. For larger anisotropy (10(-2)) we single out relevant features of anisotropic behavior that anticipate the BKT transition. Implications for experimental observation of a BKT phase in real magnets are discussed.
Quantum Monte Carlo simulation of 2-dimensional S=1/2 antiferromagnets with very weak easy-plane anisotropy / A. CUCCOLI; T. ROSCILDE; V. TOGNETTI; R. VAIA; P. VERRUCCHI. - In: JOURNAL OF APPLIED PHYSICS. - ISSN 0021-8979. - STAMPA. - 93:(2003), pp. 7640-7642. [10.1063/1.1537698]
Quantum Monte Carlo simulation of 2-dimensional S=1/2 antiferromagnets with very weak easy-plane anisotropy
CUCCOLI, ALESSANDRO;TOGNETTI, VALERIO;VERRUCCHI, PAOLA
2003
Abstract
We study the critical and thermodynamic properties of an S = 1/2 two-dimensional quantum XXZ antiferromagnet with weak easy-plane anisotropy using the continuous-time quantum Monte Carlo method based on the loop-cluster algorithm. A detailed finite-size scaling analysis reveals that the model displays a finite temperature Berezinskii-Kosterlitz-Thouless (BKT) transition for anisotropy as small as 10(-3), the dominant isotropic coupling. For larger anisotropy (10(-2)) we single out relevant features of anisotropic behavior that anticipate the BKT transition. Implications for experimental observation of a BKT phase in real magnets are discussed.
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