Thermodynamic Properties of XXZ model in a Transverse Field

Abstract

We have numerically studied the thermodynamic properties of the spin 1/2 XXZ chain in the presence of a transverse (non commuting) magnetic field. The thermal, field dependence of specific heat and correlation functions for chains up to 20 sites have been calculated. The area where the specific heat decays exponentially is considered as a measure of the energy gap. We have also obtained the exchange interaction between chains in a bulk material using the random phase approximation and derived the phase diagram of the three dimensional material with this approximation. The behavior of the structure factor at different momenta verifies the antiferromagnetic long range order in y-direction for the three dimensional case. Moreover, we have concluded that the Low Temperature Lanczos results [M. Aichhorn et al., Phys. Rev. B 67, 161103(R) (2003)] are more accurate for low temperatures and closer to the full diagonalization ones than the results of Finite Temperature Lanczos Method [J. Jaklic and P. Prelovsek, Phys. Rev. B 49, 5065 (1994)].

arXiv comment7 pages, 10 eps figures

References in corpus (10)

• Quantum phase transitions
• On the Field-Induced Gap in Cu Benzoate and Other S=1/2 Antiferromagnets
• Low temperature relaxational dynamics of the Ising chain in a transverse field
• Order to disorder transition in the XY-like quantum magnet Cs2CoCl4 induced by noncommuting applied fields
• The anisotropic Heisenberg model in a transverse magnetic field
• Gap generation in the XXZ model in a transverse magnetic field
• Quantum renormalization group of XYZ model in a transverse magnetic field
• Low Temperature Lanczos Method
• The anisotropic Heisenberg chain in coexisting transverse and longitudinal magnetic fields
• The gap exponent of XXZ model in a transverse field

Cited by in corpus (5)

• The spin-$\frac{1}{2}$ XXZ chain system Cs${}_2$CoCl${}_4$ in a transverse magnetic field
• Dynamic structure factor of the spin-1/2 XXZ chain in a transverse field
• Thermodynamic behavior of the XXZ Heisenberg s=1/2 chain around the factorizing magnetic field
• Factorized ground state for a general class of ferrimagnets
• Phase diagram of the XXZ ferrimagnetic spin-(1/2, 1) chain in the presence of transverse magnetic field