Field-induced XY behavior in the S=1/2 antiferromagnet on the square lattice

Abstract

Making use of the quantum Monte Carlo method based on the worm algorithm, we study the thermodynamic behavior of the S=1/2 isotropic Heisenberg antiferromagnet on the square lattice in a uniform magnetic field varying from very small values up to the saturation value. The field is found to induce a Berezinskii-Kosterlitz-Thouless transition at a finite temperature, above which a genuine XY behavior in an extended temperature range is observed. The phase diagram of the system is drawn, and the thermodynamic behavior of the specific heat and of the uniform and staggered magnetization is discussed in sight of an experimental investigation of the field-induced XY behavior.

arXiv comment4 pages, 4 figures

References in corpus (11)

• Quantum Monte Carlo with Directed Loops
• Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions
• 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
• Simultaneous Diagonal and Off Diagonal Order in the Bose--Hubbard Hamiltonian
• Detection of XY behaviour in weakly anisotropic quantum antiferromagnets on the square lattice
• Numerical Study of the Spin-Flop Transition in Anisotropic Spin-1/2 Antiferromagnets
• Universal critical temperature for Kosterlitz-Thouless transitions in bilayer quantum magnets
• Quantum Monte Carlo Study on Magnetization Processes
• Loop Algorithms for Asymmetric Hamiltonians

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