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Quantum fluctuations in anisotropic triangular lattices with ferromagnetic and antiferromagnetic exchange

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Schmidt,  Burkhard
Burkhard Schmidt, Physics of Quantum Materials, Max Planck Institute for Chemical Physics of Solids, Max Planck Society;

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Thalmeier,  Peter
Peter Thalmeier, Physics of Correlated Matter, Max Planck Institute for Chemical Physics of Solids, Max Planck Society;

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Schmidt, B., & Thalmeier, P. (2014). Quantum fluctuations in anisotropic triangular lattices with ferromagnetic and antiferromagnetic exchange. Physical Review B, 89(18): 184402, pp. 1-12. doi:10.1103/PhysRevB.89.184402.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0019-907E-8
Abstract
The Heisenberg model on a triangular lattice is a prime example of a geometrically frustrated spin system. However most experimentally accessible compounds have spatially anisotropic exchange interactions. As a function of this anisotropy, ground states with different magnetic properties can be realized. Motivated by recent experimental findings on Cs2CuCl4-xBrx, we discuss the full phase diagram of the anisotropic model with two exchange constants J(1) and J(2), including possible ferromagnetic exchange. Furthermore a comparison with the related square lattice model is carried out. We discuss the zero-temperature phase diagram, ordering vector, ground-state energy, and ordered moment on a classical level and investigate the effect of quantum fluctuations within the framework of spin-wave theory. The field dependence of the ordered moment is shown to be nonmonotonic with field and control parameter.