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|.
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