English

Long-range influence of manipulating disordered-insulators locally

Disordered Systems and Neural Networks 2020-04-15 v1

Abstract

Localization of wavefunctions is arguably the most familiar effect of disorder in quantum systems. It has been recently argued [[V. Khemani, R. Nandkishore, and S. L. Sondhi, Nature Physics, 11, 560 (2015)] that, contrary to naive expectation, manipulation of a localized-site in the disordered medium may produce a disturbance over a length-scale much larger than the localization-length ξ\xi. Here we report on the observation of this nonlocal phenomenon in electronic transport experiment. Being a wave property, visibility of this effect hinges upon quantum-coherence, and its spatial-scale may be ultimately limited by the phase-coherent length of the disordered insulator. Evidence for quantum coherence in the Anderson-insulating phase may be obtained from magneto-resistance measurements which however are useful mainly in thin-films. The technique used in this work offers an empirical method to measure this fundamental aspect of Anderson-insulators even in relatively thick samples.

Keywords

Cite

@article{arxiv.2004.06323,
  title  = {Long-range influence of manipulating disordered-insulators locally},
  author = {Z. Ovadyahu},
  journal= {arXiv preprint arXiv:2004.06323},
  year   = {2020}
}
R2 v1 2026-06-23T14:50:19.892Z