Gapped Heisenberg spin chains in a field

Abstract

We consider the fully anisotropic Heisenberg spin-1/2 antiferromagnet in a uniform magnetic field, whose ground-state is characterized by broken spin rotation symmetry and gapped spinon excitations. We expand on a recent mean-field approach to the problem by incorporating fluctuations in a loop expansion. Quantitative results for the magnetization, excitation gap and specific heat are obtained. We compare our predictions with new DMRG and exact diagonalization data and, for zero field, with the exact solution of the $XYZ$ spin chain from the Bethe Ansatz.

11 pages, 14 figures

References in corpus (10)

• Quantum Inverse Scattering Method and Correlation Functions
• Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field
• Order to disorder transition in the XY-like quantum magnet Cs2CoCl4 induced by noncommuting applied fields
• Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
• The anisotropic Heisenberg model in a transverse magnetic field
• Gap generation in the XXZ model in a transverse magnetic field
• Difference equations for the correlation functions of the eight vertex model
• Dynamical structure factor of the anisotropic Heisenberg chain in a transverse field
• The anisotropic Heisenberg chain in coexisting transverse and longitudinal magnetic fields
• The spin-1/2 anisotropic Heisenberg-chain in longitudinal and transversal magnetic fields: a DMRG study

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• Magnetic properties of the quantum spin-1/2 XX diamond chain: The Jordan-Wigner approach
• The Heisenberg spin-1/2 XXZ chain in the presence of electric and magnetic fields
• Spin Ladder with Anisotropic Ferromagnetic Legs in a Transverse Magnetic Field
• Conventional and inverse magnetocaloric and electrocaloric effects of a mixed spin-(1/2, 1) Heisenberg dimer
• Phase diagram and topological order in the modulated $XYZ$ chain with magnetic fields
• Electrocaloric effect in the two spin-1/2 XXZ Heisenberg edge-shared tetrahedra and spin-1/2 XXZ Heisenberg octahedron with Dzyaloshinskii-Moriya interaction
• Spin-1/2 $XX$ chain in a transverse field with regularly alternating $g$-factors: Static and dynamic properties
• Magnetic properties of an antiferromagnetic spin-1/2 XYZ model in the presence of different magnetic fields: finite-size effects of inhomogeneity property
• Narrowly avoided spin-nematic phase in BaCdVO(PO${}_4$)${}_2$: NMR evidence