Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-02-25
Phys. Rev. B 84, 125119 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
6 pages
Scientific paper
In this paper we calculate the entanglement entropy of two coupled gapless systems in general spatial dimension d. The gapless systems can be either conformal field theories (CFT), or Fermi liquids. We assume the two systems are coupled uniformly in a h-dimensional submanifold of the space, with 0 <= h <= d. We will focus on the scaling of the entanglement entropy with the size of the system, and its scaling with the inter-system coupling constant g. Three approaches will be used for our calculation: (1) exact calculation with ground state wave-functional, (2) perturbative calculation with functional path integral, (3) scaling argument.
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