Apparent double from a single Berezinskii-Kosterlitz-Thouless transition in anisotropic phase-only models
Phys. Rev. B 114, 034505 – Published 8 July, 2026
DOI: https://doi.org/10.1103/5w9x-ml6z
Abstract
Transport experiments on two-dimensional superconductors often yield direction-dependent transition temperatures, raising the question of whether such a “double-” reflects a true thermodynamic splitting or a transport artifact. To establish a baseline, we study a minimal anisotropic phase-only Josephson-junction array in equilibrium and under resistively shunted junction dynamics with fluctuating twist boundary conditions. The equilibrium model exhibits a single Berezinskii-Kosterlitz-Thouless transition. Out of equilibrium, anisotropic Josephson couplings and anisotropic dissipation reshape the linear curves in a finite-size, finite-current crossover regime, so that curve-shape criteria such as Halperin-Nelson fits and fixed-resistance thresholds yield an apparent double-. In contrast, critical-scaling criteria—the universal exponent and dynamic finite-size scaling—remain consistent with the single . A robust splitting that persists in the nonlinear critical scaling, such as that recently reported at interfaces, therefore, points to physics beyond this clean anisotropic baseline.