Effect of Hilbert space truncation on Anderson localization

Akshay Krishna, R. N. Bhatt

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The 1D Anderson model possesses a completely localized spectrum of eigenstates for all values of the disorder. We consider the effect of projecting the Hamiltonian to a truncated Hilbert space, destroying time-reversal symmetry. We analyze the ensuing eigenstates using different measures such as inverse participation ratio and sample-averaged moments of the position operator. In addition, we examine amplitude fluctuations in detail to detect the possibility of multifractal behavior (characteristic of mobility edges) that may arise as a result of the truncation procedure.

Original languageEnglish (US)
Article number174205
JournalPhysical Review B
Volume97
Issue number17
DOIs
StatePublished - May 18 2018

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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