2006/02/11 by Weifei Li, Letian Ding, Rong Yu +2 · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.74.073103
published as Phys Rev B 74, 073103 (2006) · 4 pages, 4 figures
arxiv created 2006/02/11 · arxiv updated 2012/04/25
Exactly solving a spinless fermionic system in two and three dimensions, we investigate the scaling behavior of the block entropy in critical and non-critical phases. The scaling of the block entropy crucially depends on the nature of the excitation spectrum of the system and on the topology of the Fermi surface. Noticeably, in the critical phases the scaling violates the area law and acquires a logarithmic correction only when a well defined Fermi surface exists in the system. When the area law is violated, we accurately verify a conjecture for the prefactor of the logarithmic correction, proposed by D. Gioev and I. Klich [quant-ph/0504151].