Dissemin is shutting down on January 1st, 2025

Published in

SpringerOpen, The European Physical Journal B, 1(93), 2020

DOI: 10.1140/epjb/e2019-100496-y

Links

Tools

Export citation

Search in Google Scholar

Entanglement entropy of random partitioning

Journal article published in 2020 by Gergő Roósz, István A. Kovács ORCID, Ferenc Iglói
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

Full text: Download

Green circle
Preprint: archiving allowed
Green circle
Postprint: archiving allowed
Green circle
Published version: archiving allowed
Data provided by SHERPA/RoMEO

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