Effect of Single Impurity on Free Fermion Entanglement Entropy
arXiv:1412.6246 · doi:10.1103/PhysRevB.91.075115
Abstract
The one-dimensional free Fermi gas is a prototype conformally invariant system, whose entanglement properties are well-understood. In this work, the effects of a single impurity on one dimensional free fermion entanglement entropy are studied both analytically and numerically. Such an impurity represents an exactly marginal perturbation to the bulk conformally invariant fixed point. We find that the impurity leads to sub-leading contributions to the entanglement entropy that scale inversely with the subsystem size. The origin of such contributions are identified.
7 pages, 6 figures, two paragraphs added in the last section
References in corpus (5)
- Entanglement entropy of fermions in any dimension and the Widom conjecture
- Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
- Free fermions on a line: asymptotics of the entanglement entropy and entanglement spectrum from full counting statistics
- Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe
- Corrections to scaling in entanglement entropy from boundary perturbations