Zero dimensional area law in a gapless fermion system

Abstract

The entanglement entropy of a gapless fermion subsystem coupled to a gapless bulk by a "weak link" is considered. It is demonstrated numerically that each independent weak link contributes an entropy proportional to lnL, where L is linear dimension of the subsystem.

6 pages, 11 figures; added 3d computation

References in corpus (5)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Entanglement scaling in critical two-dimensional fermionic and bosonic systems
• Scaling Behavior of Entanglement in Two- and Three-Dimensional Free Fermions

Cited by in corpus (20)

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• Entanglement entropy in one-dimensional disordered interacting system: The role of localization
• Fano resonances and entanglement entropy
• Entanglement Entropy of Coupled Conformal Field Theories and Fermi Liquids
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• The scaling of entanglement entropy in a honeycomb lattice on a torus
• Critical quench dynamics of random quantum spin chains: Ultra-slow relaxation from initial order and delayed ordering from initial disorder
• Entanglement entropy of the $Q\ge 4$ quantum Potts chain
• Nonlocal fermions and the entropy volume law
• Scaling of Entanglement Entropy in Point Contact Free Fermion Systems
• Detecting many-body entanglements in noninteracting ultracold atomic fermi gases
• Projective approach to the entanglement entropy of 1-$d$ fermions
• Entanglement Temperature and Perturbed AdS${}_3$ Geometry
• Entanglement scaling behaviors of free fermions on hyperbolic lattices
• Scaling of Entanglement Entropy for the Heisenberg Model on Clusters Joined by Point Contacts