Frustrated spin-12 Ising antiferromagnet on a square lattice in a transverse field

A. Bobák, E. Jurčišinová, M. Jurčišin, and M. Žukovič
Phys. Rev. E 97, 022124 – Published 15 February 2018

Abstract

We investigate the phase transitions and tricritical behaviors of the frustrated Ising antiferromagnet with first- (J1<0) and second- (J2<0) nearest-neighbor interactions in a transverse field Ω on the square lattice using an effective-field theory with correlations based on a single-spin approximation. We have proposed a functional for the free energy to obtain the phase diagram in the TR (R=J2/|J1|) or TΩ planes. It is shown that due to the transverse field the phase transition between ordered and disordered phases changes in the tricritical point (TCP) from the second order to the first order. The longitudinal and transverse magnetizations are also studied for selected values of R and Ω. In particular, the variation of TCP at the ground state in the three-dimensional space is constructed. For some special cases, values of the critical temperature and the critical transverse field have been determined analytically.

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  • Received 16 November 2017

DOI:https://doi.org/10.1103/PhysRevE.97.022124

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

A. Bobák1,*, E. Jurčišinová2, M. Jurčišin1,2, and M. Žukovič1

  • 1Department of Theoretical Physics and Astrophysics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 041 54 Košice, Slovak Republic
  • 2Institute of Experimental Physics, SAS, Watsonova 47, 040 01 Košice, Slovak Republic

  • *andrej.bobak@upjs.sk

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Vol. 97, Iss. 2 — February 2018

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