%0 Journal Article %1 Roósz2020 %A Roósz, Gergő %A Kovács, István A. %A Iglói, Ferenc %D 2020 %J Eur. Phys. J. B %K a %N 1 %P 8 %R 10.1140/epjb/e2019-100496-y %T Entanglement entropy of random partitioning %U https://doi.org/10.1140/epjb/e2019-100496-y %V 93 %X 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.

@article{Roósz2020, 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.}, added-at = {2023-10-31T11:39:49.000+0100}, author = {Roósz, Gergő and Kovács, István A. and Iglói, Ferenc}, biburl = {https://www.bibsonomy.org/bibtex/2815cd94c876519182a2759f2335f8998/ctqmat}, day = 20, description = {Entanglement entropy of random partitioning | The European Physical Journal B}, doi = {10.1140/epjb/e2019-100496-y}, interhash = {59c814a372d44c4b86670367edaaccfa}, intrahash = {815cd94c876519182a2759f2335f8998}, issn = {1434-6036}, journal = {Eur. Phys. J. B}, keywords = {a}, month = {01}, number = 1, pages = 8, timestamp = {2024-09-17T11:55:33.000+0200}, title = {Entanglement entropy of random partitioning}, url = {https://doi.org/10.1140/epjb/e2019-100496-y}, volume = 93, year = 2020 }