Universal scaling at field-induced magnetic phase transitions

Abstract

We study field-induced magnetic order in cubic lattices of dimers with antiferromagnetic Heisenberg interactions. The thermal critical exponents at the quantum phase transition from a spin liquid to a magnetically ordered phase are determined from Stochastic Series Expansion Quantum Monte Carlo simulations. These exponents are independent of the interdimer coupling ratios, and converge to the value obtained by considering the transition as a Bose-Einstein condensation of magnons, alpha_(BEC) = 1.5. The scaling results are of direct relevance to the spin-dimer systems TlCuCl_3 and KCuCl_3, and explain the broad range of exponents reported for field-induced ordering transitions.

4 pages, 4 eps-figures

References in corpus (12)

• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• Coupled Ladders in a Magnetic Field
• Magnon Dispersion in the Field-Induced Magnetically Ordered Phase of TlCuCl3
• Observation of Field-Induced Transverse Néel Ordering in the Spin Gap System TlCuCl${}_3$
• High precision Monte Carlo study of the 3D XY-universality class
• Critical temperature and the transition from quantum to classical order parameter fluctuations in the three-dimensional Heisenberg antiferromagnet
• Accessing the dynamics of large many-particle systems using Stochastic Series Expansion
• Field-Induced Magnetic Ordering in the Quantum Spin System KCuCl${}_3$
• Field-Induced Magnetic Order in Quantum Spin Liquids
• Frustrated 3-Dimensional Quantum Spin Liquid in CuHpCl

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