Quantum fluctuations in anisotropic triangular lattices with ferro- and antiferromagnetic exchange

Abstract

The Heisenberg model on a triangular lattice is a prime example for 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 Cs${}_2$CuCl${}_{4-x}$Br${}_x$, 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.

13 pages, 14 figures

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Cited by in corpus (16)

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• Anisotropic magnetic property of single crystals $R$V${}_6$Sn${}_6$ ($R$ = Y, Gd - Tm, Lu)
• Thermodynamics of anisotropic triangular magnets with ferro- and antiferromagnetic exchange
• The planar triangular $S=3/2$ magnet AgCrSe${}_2$: magnetic frustration, short range correlations, and field tuned anisotropic cycloidal magnetic order
• Specific Heat Study of 1D and 2D Excitations in the Layered Frustrated Quantum Antiferromagnets Cs${}_2$CuCl${}_{4-x}$Br${}_x$
• Signatures of indirect K-edge resonant inelastic x-ray scattering on magnetic excitations in triangular lattice antiferromagnet
• Néel temperature and reentrant H-T phase diagram of quasi-2D frustrated magnets
• Long-range magnetic order in the anisotropic triangular lattice system CeCd3As3
• Possible coexistence of short-range resonating-valence-bond and long-range stripe correlations in the spatially anisotropic triangular-lattice quantum magnet Cu${}_2$(OH)${}_3$NO${}_3$
• Stripe order and magnetic anisotropy in the $S=1$ antiferromagnet BaMoP${}_2$O${}_8$
• Torque equilibrium spin wave theory study of anisotropy and Dzyaloshinskii-Moriya interaction effects on the indirect K$-$ edge RIXS spectrum of a triangular lattice antiferromagnet
• Noncentrosymmetric Triangular Magnet CaMnTeO${}_6$: Strong Quantum Fluctuations and Role of s0 vs. s2 Electronic States in Competing Exchange Interactions
• Torque equilibrium spin wave theory of Raman scattering in an anisotropic triangular lattice antiferromagnet with Dzyaloshinskii-Moriya interaction
• Light-induced switching of magnetic order in the anisotropic triangular-lattice Hubbard model
• Spin Excitation Spectra of Spin-Orbit Coupled Bosons in Optical Lattice
• Strengthening the magnetic interactions in pseudobinary first-row transition metal thiocyanates, $M$(NCS)${}_2$