Entanglement entropy of random partitioning

Gergő Roósz*, István A. Kovács, Ferenc Iglói

*Corresponding author for this work

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

Abstract: We study the entanglement entropy of random partitions in one- and two-dimensional critical fermionic systems. In an infinite system we consider a finite, connected (hypercubic) domain of linear extent L, the points of which with probability p belong to the subsystem. The leading contribution to the average entanglement entropy is found to scale with the volume as a(p)LD, where a(p) is a non-universal function, to which there is a logarithmic correction term, b(p)LD−1 ln L. In 1D the prefactor is given by b(p)=c/3f(p),where c is the central charge of the model and f(p) is a universal function. In 2D the prefactor has a different functional form of p below and above the percolation threshold. Graphical abstract: [Figure not available: see fulltext.].

Original languageEnglish (US)
Article number8
JournalEuropean Physical Journal B
Volume93
Issue number1
DOIs
StatePublished - Jan 1 2020

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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