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Phys. Rev. B 74, 073103 (2006) [4 pages]Scaling behavior of entanglement in two- and three-dimensional free-fermion systems
Received 16 February 2006; revised 12 June 2006; published 17 August 2006
Exactly solving a spinless fermionic system in two and three dimensions, we investigate the scaling behavior of the block entropy in critical and noncritical 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 [Phys. Rev. Lett. 96, 100503 (2006)]. ©2006 The American Physical Society
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