An investigation of the J1–J2–J3 transverse Ising antiferromagnet on the honeycomb lattice with frustration

A. Bobák, E. Jurčišinová, M. Jurčišin, M. Žukovič and T. Balcerzak

Physica A: Statistical Mechanics and its Applications, 2019, vol. 518, issue C, 13-21

Abstract: We investigate phase transitions and critical behaviors in the frustrated J1–J2–J3 transverse Ising antiferromagnet on a honeycomb lattice using an effective-field theory. We find that at large negative J3∕|J1| (<−1∕3) there is a tricritical point on the phase boundary between Néel antiferromagnetic and paramagnetic phases, in contrast to the corresponding frustrated counterpart with J3=0 and zero transverse field Ω. In particular, the variation of the tricritical point with R=J2∕|J1| and Ω∕|J1| in the three-dimensional space is constructed for J3∕|J1|=−0.4. We also discuss longitudinal and transverse magnetizations calculated within the effective-field approach for J3∕|J1|=−0.4 and selected values of R=J2∕|J1| and Ω∕|J1|.

Keywords: Ising antiferromagnet; Frustrated honeycomb lattice; Phase diagram; Tricritical point (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:518:y:2019:i:c:p:13-21

DOI: 10.1016/j.physa.2018.11.058

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