Title: Classical and quantum anisotropic Heisenberg antiferromagnets
Author(s):

	W. Selke (RWTH Aachen University and JARA-SIM, Department of Theoretical Physics, 52056 Aachen, Germany) ,
	G. Bannasch (MPI für Physik komplexer Systeme, 01187 Dresden, Germany) ,
	M. Holtschneider (RWTH Aachen University and JARA-SIM, Department of Theoretical Physics, 52056 Aachen, Germany) ,
	I.P. McCulloch (University of Queensland, Brisbane, QLD 4072, Australia) ,
	D. Peters (RWTH Aachen University and JARA-SIM, Department of Theoretical Physics, 52056 Aachen, Germany) ,
	S. Wessel (University of Stuttgart, Institute for Theoretical Physics III, 70550 Stuttgart, Germany)

We study classical and quantum Heisenberg antiferromagnets with exchange anisotropy of XXZ-type and crystal field single-ion terms of quadratic and quartic form in a field. The magnets display a variety of phases, including the spin-flop (or, in the quantum case, spin-liquid) and biconical (corresponding, in the quantum lattice gas description, to supersolid) phases. Applying ground-state considerations, Monte Carlo and density matrix renormalization group methods, the impact of quantum effects and lattice dimension is analysed. Interesting critical and multicritical behaviour may occur at quantum and thermal phase transitions.

Key words: Heisenberg antiferromagnets, Monte Carlo simulation, DMRG, biconical phase, supersolid phase, multicritical point
PACS: 05.10.Ln, 75.10.Jm, 75.40.Mg, 75.40.Cx

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