A revisit to the Ising model in a transverse and random magnetic field

Itacy J. Souza, Paulo H.Z. Arruda, Alberto S. de Arruda, Mounirou Karimou, Thiago M. Tunes and Marcelo F.Z. de Arruda

Physica A: Statistical Mechanics and its Applications, 2023, vol. 632, issue P1

Abstract: In this article we consider a Hamiltonian representing the Ising model in a random transverse magnetic field (RTIM). We use mean field theory via Bogoliubov’s inequality to calculate the Gibbs free energy and the longitudinal (mz) and transverse (mx) magnetizations. We show a quantum phase transition at zero temperature, i.e. the magnetization mz goes to zero only due to the transverse magnetic field. The temperature behavior as a function of the transverse magnetic field is also shown for different values of the anisotropy parameter p, where no tricritical behavior is observed. The behavior of mz and mx as a function of temperature and transverse magnetic field have been plotted, showing that there is no tricritical behavior.

Keywords: Transverse field,; Random field; Mean field theory; Phase diagrams; Magnetization; Tricritical behavior (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:632:y:2023:i:p1:s0378437123008506

DOI: 10.1016/j.physa.2023.129295

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