The anisotropic Heisenberg chain in coexisting transverse and longitudinal magnetic fields

Abstract

The one-dimensional spin-1/2 $XXZ$ model in a mixed transverse and longitudinal magnetic field is studied. Using the specially developed version of the mean-field approximation the order-disorder transition induced by the magnetic field is investigated. The ground state phase diagram is obtained. The behavior of the model in low transverse field is studied on the base of conformal field theory. The relevance of our results to the observed phase transition in the quasi-one-dimensional antiferromagnet $C{s}_{2}CoC{l}_4$ is discussed.

arXiv comment18 pages, 6 figures

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Cited by in corpus (22)

• Quantifying and controlling entanglement in the quantum magnet Cs${}_2$CoCl${}_4$
• Frustrated ferromagnetic spin-1/2 chain in the magnetic field
• Simulating Quantum Spin Models using Rydberg-Excited Atomic Ensembles in Magnetic Microtrap Arrays
• Weakly anisotropic frustrated zigzag spin chain
• Quantum spin nanotubes -- frustration, competing orders and criticalities
• Field-induced Orbital Patterns in Ferromagnetic Layered Ruthenates
• Ising phases of Heisenberg ladders in a magnetic field
• Factorization and criticality in finite XXZ systems of arbitrary spin
• Gapped Heisenberg spin chains in a field
• Two-dimensional Heisenberg antiferromagnet in a transverse field
• 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
• Thermodynamic Properties of XXZ model in a Transverse Field
• Spin-orbit coupled fermions in ladder-like optical lattices at half-filling
• Green's function theory for spin-1/2 ferromagnets with an easy-plane exchange anisotropy
• Longitudinal Magnetization and specific heat of the anisotropic Heisenberg antiferromagnet on Honeycomb lattice
• Phase diagram of the XXZ ferrimagnetic spin-(1/2, 1) chain in the presence of transverse magnetic field
• Electrocaloric effect in the two spin-1/2 XXZ Heisenberg edge-shared tetrahedra and spin-1/2 XXZ Heisenberg octahedron with Dzyaloshinskii-Moriya interaction
• Hysteresis behavior of the anisotropic quantum Heisenberg model
• Separability and parity transitions in $XYZ$ spin systems under nonuniform fields
• Disorder effects on the metastability of classical Heisenberg ferromagnets