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DY: Fachverband Dynamik und Statistische Physik

DY 7: Statistical Physics (General) I

DY 7.4: Vortrag

Montag, 16. März 2020, 10:45–11:00, ZEU 160

Entanglement entropy of random partitioning — •Gergö Roosz¹, Istvan Kovacs², and Ferenc Igloi³ — ¹TU Dresden — ²Northwestern University, USA — ³Wigner RCP, Budapest

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−1lnL. In 1D the prefactor is given by b(p)=c/3 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.