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Condensed Matter > Disordered Systems and Neural Networks

Title: Finite-Size Scaling Regarding Interaction in the Many-Body Localization Transition

Abstract: We present a novel finite-size scaling for both interaction and disorder strengths in the critical regime of the many-body localization (MBL) transition for a spin-1/2 XXZ spin chain with random field by studying the level statistics. We show how the dynamical transition from the thermal to MBL phase depends on interaction together with disorder by evaluating the adjacent gap ratio, and thus, extend previous studies in which the 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.
Comments: 4 pages, 3 figures
Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)
Cite as: arXiv:1803.06474 [cond-mat.dis-nn]
  (or arXiv:1803.06474v1 [cond-mat.dis-nn] for this version)

Submission history

From: Kazue Kudo [view email]
[v1] Sat, 17 Mar 2018 06:32:48 GMT (24kb)