Finite-size scaling with respect to interaction and disorder strength at the many-body localization transition

Article

关键词: RANDOM-MATRIX THEORY;    METAL-INSULATOR-TRANSITION;    STATISTICAL-MECHANICS;    QUANTUM CHAOS;    SPECTRAL PROPERTIES;    LEVEL STATISTICS;    SPIN MODELS;    SYSTEMS;    THERMALIZATION;    INTEGRABILITY;   

DOI  :  10.1103/PhysRevB.97.220201

来源: SCIE

【 摘 要 】

We present a finite-size scaling for both interaction and disorder strengths in the critical regime of themany-body localization (MBL) transition for a spin-1/2 XXZ spin chain with a random field by studying level statistics. We show how the dynamical transition from the thermal to MBL phase depends on interaction together with disorder by evaluating the ratio of adjacent level spacings, and thus, extend previous studies in which interaction coupling is fixed. We introduce an extra critical exponent in order to describe the nontrivial interaction dependence of the MBL transition. It is characterized by the ratio of the disorder strength to the power of the interaction coupling with respect to the extra critical exponent and not by the simple ratio between them.

【 授权许可】

Free