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APS » Phys. Rev. Lett. » Volume 100 » Issue 21

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Phys. Rev. Lett. 100, 215701 (2008) [4 pages]

Subarea Law of Entanglement in Nodal Fermionic Systems

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Letian Ding,¹ Noah Bray-Ali,¹ Rong Yu,^1,2 and Stephan Haas¹
¹Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089, USA
²Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA

Received 4 January 2008; revised 22 April 2008; published 30 May 2008

Weinvestigate the subarea-law scaling behavior of the block entropy inbipartite fermionic systems which do not have a finite Fermisurface. It is found that in gapped regimes the leadingsubarea term is a negative constant, whereas in critical regimeswith point nodes the leading subarea law is a logarithmicadditive term. At the phase boundary that separates the criticaland noncritical regimes, the subarea scaling shows power-law behavior.

©2008 The American Physical Society

URL:	http://link.aps.org/doi/10.1103/PhysRevLett.100.215701
DOI:	10.1103/PhysRevLett.100.215701
PACS:	64.70.Tg; 03.67.Mn; 05.30.Fk; 73.43.Nq 64.70.Tg Quantum phase transitions 03.67.Mn Entanglement measures, witnesses, and other characterizations (quantum information) 05.30.Fk Fermion systems and electron gas (quantum statistical mechanics) 73.43.Nq Quantum phase transitions (quantum Hall effect) YEAR: 2008

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