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Entanglement entropy of random partitioning

Author

Listed:
  • Gergő Roósz

    (Institute of Theoretical Physics, Technische Universität Dresden
    Wigner Research Centre for Physics, Institute for Solid State Physics and Optics)

  • István A. Kovács

    (Wigner Research Centre for Physics, Institute for Solid State Physics and Optics
    Northwestern University
    Central European University)

  • Ferenc Iglói

    (Wigner Research Centre for Physics, Institute for Solid State Physics and Optics
    Institute of Theoretical Physics, Szeged University)

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

Suggested Citation

  • Gergő Roósz & István A. Kovács & Ferenc Iglói, 2020. "Entanglement entropy of random partitioning," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(1), pages 1-8, January.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:1:d:10.1140_epjb_e2019-100496-y
    DOI: 10.1140/epjb/e2019-100496-y
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