Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-Andre model

Article

关键词: INVERSE-PARTICIPATION-RATIO;    ANDERSON LOCALIZATION;    EDGE;    BEHAVIOR;    MATTER;   

DOI  :  10.1103/PhysRevB.106.014204

来源: SCIE

【 摘 要 】

In this paper, we investigate the driven dynamics of the localization transition in the non-Hermitian Aubry-Andre model with the periodic boundary condition. Depending on the strength of the quasiperiodic potential lambda, this model undergoes a localization-delocalization phase transition. We find that the localization length. satisfies xi similar to epsilon(-nu) with epsilon being the distance from the critical point and nu = 1 being a universal critical exponent independent of the non-Hermitian parameter. In addition, from the finite-size scaling of the energy gap between the ground state and the first excited state, we determine the dynamic exponent z as z = 2. The critical exponent of the inverse participation ratio for the nth eigenstate is also determined as s = 0.1197. By changing e linearly to cross the critical point, we find that the driven dynamics can be described by the Kibble-Zurek scaling (KZS). Moreover, we show that the KZS with the same set of the exponents can be generalized to the localization phase transitions in the excited states.

【 授权许可】

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