Anderson localization transitions in disordered non-Hermitian systems with exceptional points

نویسندگان

چکیده

The critical exponents of continuous phase transitions a Hermitian system depend on and only its dimensionality symmetries. This is the celebrated notion universality transitions. Here we numerically study Anderson localization in non-Hermitian two-dimensional (2D) systems with exceptional points by using finite-size scaling analysis participation ratios. At either second order or fourth order, two different symmetries have same exponent $\ensuremath{\nu}\ensuremath{\simeq}2$ correlation lengths, which differs from all known 2D disordered systems. These feature reminiscent superuniversality In symmetry-preserved symmetry-broken phases, models time-reversal symmetry without spin-rotational symmetry, both symmetries, are class electron Gaussian symplectic unitary ensembles, where $\ensuremath{\nu}\ensuremath{\simeq}2.7$ $\ensuremath{\nu}\ensuremath{\simeq}2.3$, respectively. transition further confirmed showing that $\ensuremath{\nu}$ does not form disorders boundary conditions.

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ژورنال

عنوان ژورنال: Physical Review B

سال: 2023

ISSN: ['1098-0121', '1550-235X', '1538-4489']

DOI: https://doi.org/10.1103/physrevb.107.024202