English

Unconventional scaling theory in disorder-driven quantum phase transition

Mesoscale and Nanoscale Physics 2018-07-11 v2 Disordered Systems and Neural Networks

Abstract

We clarify novel forms of scaling functions of conductance, critical conductance distribution and localization length in a disorder-driven quantum phase transition between band insulator and Weyl semimetal phases. Quantum criticality of the phase transition is controlled by a clean-limit fixed point with spatially anisotropic scale invariance. We argue that the anisotropic scale invariance is reflected on unconventional scaling function forms in the quantum phase transition. We verify the proposed scaling function forms in terms of transfer-matrix calculations of conductance and localization length in a tight-binding model.

Keywords

Cite

@article{arxiv.1803.09051,
  title  = {Unconventional scaling theory in disorder-driven quantum phase transition},
  author = {Xunlong Luo and Tomi Ohtsuki and Ryuichi Shindou},
  journal= {arXiv preprint arXiv:1803.09051},
  year   = {2018}
}

Comments

4 pages with supplemental materials

R2 v1 2026-06-23T01:03:46.096Z