The gap exponent of XXZ model in a transverse field

Abstract

We have calculated numerically the gap exponent of the anisotropic Heisenberg model in the presence of the transverse magnetic field. We have implemented the modified Lanczos method to obtain the excited states of our model with the same accuracy of the ground state. The coefficient of the leading term in the perturbation expansion diverges in the thermodynamic limit (N --> infinity). We have obtained the relation between this divergence and the scaling behaviour of the energy gap. We have found that the opening of gap in the presence of transverse field scales with a critical exponent which depends on the anisotropy parameter (Delta). Our numerical results are in well agreement with the field theoretical approach in the whole range of the anisotropy parameter, -1 < Delta < 1.

arXiv comment6 pages and 4 figures

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Cited by in corpus (10)

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• Magnetic quantum correlation in the 1D transverse-field XXZ model
• Scaling behavior of the energy gap of spin-1/2 AF-Heisenberg chain in both uniform and staggered fields
• Numerical study of the frustrated ferromagnetic spin-1/2 chain
• Thermodynamic behavior of the XXZ Heisenberg s=1/2 chain around the factorizing magnetic field
• Spin Ladder with Anisotropic Ferromagnetic Legs in a Transverse Magnetic Field
• Quantum corrections of the Dzyaloshinskii-Moriya interaction on the spin-1/2 AF-Heisenberg chain in an uniform magnetic field
• Spin-1/2 XX chains with modulated Gamma interaction
• Thermodynamic Properties of XXZ model in a Transverse Field
• Phase diagram of the XXZ ferrimagnetic spin-(1/2, 1) chain in the presence of transverse magnetic field