Entanglement entropy and multifractality at localization transitions

Xun Jia, Arvind R. Subramaniam, Ilya A. Gruzberg, Sudip Chakravarty

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

The von Neumann entanglement entropy is a useful measure to characterize a quantum phase transition. We investigate the nonanalyticity of this entropy at disorder-dominated quantum phase transitions in noninteracting electronic systems. At these critical points, the von Neumann entropy is determined by the single particle wave function intensity, which exhibits complex scale invariant fluctuations. We find that the concept of multifractality is naturally suited for studying von Neumann entropy of the critical wave functions. Our numerical simulations of the three dimensional Anderson localization transition and the integer quantum Hall plateau transition show that the entanglement at these transitions is well described using multifractal analysis.

Original languageEnglish (US)
Article number014208
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume77
Issue number1
DOIs
StatePublished - Jan 25 2008

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Entropy
entropy
Wave functions
Phase transitions
wave functions
integers
plateaus
critical point
disorders
Computer simulation
electronics
simulation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Entanglement entropy and multifractality at localization transitions. / Jia, Xun; Subramaniam, Arvind R.; Gruzberg, Ilya A.; Chakravarty, Sudip.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 77, No. 1, 014208, 25.01.2008.

Research output: Contribution to journalArticle

Jia, Xun ; Subramaniam, Arvind R. ; Gruzberg, Ilya A. ; Chakravarty, Sudip. / Entanglement entropy and multifractality at localization transitions. In: Physical Review B - Condensed Matter and Materials Physics. 2008 ; Vol. 77, No. 1.
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