Regular Article

Critical behavior of the spin-3/2 Blume-Capel quantum model with two random transverse single-ion anisotropies

¹ Instituto de Física, Universidade Federal de Mato Grosso, 78060-900, Cuiabá, Mato Grosso, Brazil
² Faculdade de Engenharia, Universidade Federal do Mato Grosso, 78060-900, Várzea Grande, Mato Grosso, Brazil

^a e-mail: mgodoy@fisica.ufmt.br

Received: 2 June 2020
Received in final form: 18 August 2020
Accepted: 5 October 2020
Published online: 2 December 2020

Abstract

Using the approach based on the Bogoliubov inequality for free energy, we have studied the magnetic properties of the spin-3/2 Blume-Capel quantum model in the presence of the random transverse single-ion anisotropy (RTSIA). By analysis of the phase diagrams such as temperature versus single-ion anisotropy (τ × φ_x), magnetization versus single-ion anisotropy (m × φ_x), and magnetization versus temperature (m × τ) plans, we have obtained information about how the presence of anisotropy affects the properties of the system. We have shown that the RTSIA is responsible for changing the topology of the phase diagrams, compared to the pure model, leading to the appearance tricritical point (TCP).