Impurity Entanglement Entropy and the Kondo Screening Cloud

Abstract

The screening of an impurity spin by conduction electrons is associated with the formation of a large Kondo screening cloud, of size xi_K. We study the quantum entanglement between a region of size r surrounding the impurity and the rest of the sample, (of total size R) using Density Matrix Renormalization Group and analytic methods. The corresponding "impurity entanglement entropy", S_{imp}, is shown to be a universal scaling function of r/xi_K and r/R. We calculate this universal function using Fermi liquid theory in the regime xi_K << r.

5 pages, 5 figures (eps), RevTeX 4.0

References in corpus (20)

• Entanglement Entropy and Quantum Field Theory
• Concentrating Partial Entanglement by Local Operations
• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Efficient simulation of one-dimensional quantum many-body systems
• Geometric and Renormalized Entropy in Conformal Field Theory
• Perfect state transfer in quantum spin networks
• Entanglement entropy of random quantum critical points in one dimension
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Numerical Evidence for Multiplicative Logarithmic Corrections from Marginal Operators
• Detecting the Kondo screening cloud around a quantum dot
• Scaling theory of the Kondo screening cloud
• Simulation of a Heisenberg XY- chain and realization of a perfect state transfer algorithm using liquid nuclear magnetic resonance
• Entanglement between a qubit and the environment in the spin-boson model
• The Screening Cloud in the k-Channel Kondo Model: Perturbative and Large-k Results
• Entanglement entropy in a boundary impurity model
• Quantum Entanglement in the Two Impurity Kondo Model
• Critical entanglement of XXZ Heisenberg chains with defects
• The Kondo Screening Cloud around a Quantum Dot: Large-scale numerical Results
• On The Multichannel Kondo Model"

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