TY - JOUR

T1 - Imaginary-field-driven phase transition for the 2D Ising antiferromagnet

T2 - A fidelity-susceptibility approach

AU - Nishiyama, Yoshihiro

PY - 2020/10/1

Y1 - 2020/10/1

N2 - The square-lattice Ising antiferromagnet subjected to the imaginary magnetic field H=iθT∕2 with the “topological” angle θ and temperature T was investigated by means of the transfer-matrix method. Here, as a probe to detect the order–disorder phase transition, we adopt an extended version of the fidelity susceptibility χF (θ), which makes sense even for such a non-hermitian transfer matrix. As a preliminary survey, for an intermediate value of θ, we examined the finite-size-scaling behavior of χF (θ), and found a pronounced signature for the criticality; note that the magnetic susceptibility exhibits a weak (logarithmic) singularity at the Néel temperature. Thereby, we turn to the analysis of the power-law singularity of the phase boundary at θ=π. With θ−π scaled properly, the χF (θ) data are cast into the crossover scaling formula, indicating that the phase boundary is shaped concavely. Such a feature makes a marked contrast to that of the mean-field theory.

AB - The square-lattice Ising antiferromagnet subjected to the imaginary magnetic field H=iθT∕2 with the “topological” angle θ and temperature T was investigated by means of the transfer-matrix method. Here, as a probe to detect the order–disorder phase transition, we adopt an extended version of the fidelity susceptibility χF (θ), which makes sense even for such a non-hermitian transfer matrix. As a preliminary survey, for an intermediate value of θ, we examined the finite-size-scaling behavior of χF (θ), and found a pronounced signature for the criticality; note that the magnetic susceptibility exhibits a weak (logarithmic) singularity at the Néel temperature. Thereby, we turn to the analysis of the power-law singularity of the phase boundary at θ=π. With θ−π scaled properly, the χF (θ) data are cast into the crossover scaling formula, indicating that the phase boundary is shaped concavely. Such a feature makes a marked contrast to that of the mean-field theory.

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U2 - 10.1016/j.physa.2020.124731

DO - 10.1016/j.physa.2020.124731

M3 - Article

AN - SCOPUS:85085247228

VL - 555

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

M1 - 124731

ER -