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Entropic area law for Fermions | | Michael M. Wolf
; | | Date: |
29 Mar 2005 | | Subject: | Quantum Physics; Statistical Mechanics | quant-ph cond-mat.stat-mech | | Abstract: | We investigate the scaling of the entanglement entropy in an infinite translational invariant Fermionic system of any spatial dimension. The states under consideration are ground states and excitations of tight-binding Hamiltonians with arbitrary interactions. We show that the entropy of a finite region typically scales with the area of the surface times a logarithmic correction. The latter can be traced back to the criticality of the models. The relation between the entanglement entropy and the structure of the Fermi surface is discussed, and it is proven, that the presented scaling law holds whenever the Fermi surface is finite. This is in particular true for all ground states of Hamiltonians with finite range interactions. | | Source: | arXiv, quant-ph/0503219 | | Services: | Forum | Review | PDF | Favorites | |
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