## 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)L^{D}, where a(p) is a non-universal function, to which there is a logarithmic correction term, b(p)L^{D}−^{1} ln L. In 1D the prefactor is given by b(p) = _{3}^{c} f(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.

Original language | English (US) |
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Journal | Unknown Journal |

State | Published - Oct 14 2019 |

## ASJC Scopus subject areas

- General