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

Author

Listed:
  • Bobák, A.
  • Jurčišinová, E.
  • Jurčišin, M.
  • Žukovič, M.
  • Balcerzak, T.

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|.

Suggested Citation

  • Bobák, A. & Jurčišinová, E. & Jurčišin, M. & Žukovič, M. & Balcerzak, T., 2019. "An investigation of the J1–J2–J3 transverse Ising antiferromagnet on the honeycomb lattice with frustration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 13-21.
    • Handle: RePEc:eee:phsmap:v:518:y:2019:i:c:p:13-21
    DOI: 10.1016/j.physa.2018.11.058
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