Critical entanglement of XXZ Heisenberg chains with defects
arXiv:cond-mat/0509338 · doi:10.1103/PhysRevB.73.024417
Abstract
We study the entanglement properties of anisotropic open spin one-half Heisenberg chains with a modified central bond. The entanglement entropy between the two half-chains is calculated with the density-matrix renormalization method (DMRG).We find a logarithmic behaviour with an effective central charge c' varying with the length of the system. It flows to one in the ferromagnetic region and to zero in the antiferromagnetic region of the model. In the XX case it has a non-universal limit and we recover previous results.
arXiv comment8 pages, 15 figures
References in corpus (15)
- Entanglement Entropy and Quantum Field Theory
- Entanglement in quantum critical phenomena
- Geometric and Renormalized Entropy in Conformal Field Theory
- Calculation of reduced density matrices from correlation functions
- Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
- Scaling of Entanglement Entropy in the Random Singlet Phase
- Entanglement entropy with interface defects
- Functional renormalization group for Luttinger liquids with impurities
- Entanglement entropy in a boundary impurity model
- Spin- and charge-density oscillations in spin chains and quantum wires
- On single-copy entanglement
- Impurity in a Luttinger liquid away from half-filling: a numerical study
- Scaling behavior of impurities in mesoscopic Luttinger liquids
- Impurity in a Luttinger liquid: a numerical study of the finite size energy spectrum and of the orthogonality catastrophe exponent
- Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems
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