### 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)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)=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 language | English (US) |
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Article number | 8 |

Journal | European Physical Journal B |

Volume | 93 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 2020 |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

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## Cite this

*European Physical Journal B*,

*93*(1), [8]. https://doi.org/10.1140/epjb/e2019-100496-y