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Journal Club for Condensed Matter Physics

Entanglement measure for Kondo spin at finite temperatures

Published Aug 31, 2022• 0 citations
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Abstract

Universal Thermal Entanglement of Multichannel Kondo Effects Authors: Donghoon Kim, Jeongmin Shim, and H.-S. Sim Phys. Rev. Lett. 127, 226801 (2021); DOI: 10.1103/PhysRevLett.127.226801 Recommended with a commentary by Masaki Oshikawa, University of Tokyo |View Commentary (pdf)| This commentary may be cited as: DOI: 10.36471/JCCM_August_2022_02 https://doi.org/10.36471/JCCM_August_2022_02

DOI
10.36471/jccm_august_2022_02

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Universal Thermal Entanglement of Multichannel Kondo Effects Authors: Donghoon Kim, Jeongmin Shim, and H.-S. Sim Phys. Rev. Lett. 127, 226801 (2021); DOI: 10.1103/PhysRevLett.127.226801 Recommended with a commentary by Masaki Oshikawa, University of Tokyo |View Commentary (pdf)| This commentary may be cited as: DOI: 10.36471/JCCM_August_2022_02 https://doi.org/10.36471/JCCM_August_2022_02
Quantum entanglement between an impurity and its environment is expected to be central in quantum impurity problems. We develop a method to compute the entanglement in spin-1/2 impurity problems, based on the entanglement negativity and the boundary conformal field theory (BCFT). Using the method, we study the thermal decay of the entanglement in the multichannel Kondo effects. At zero temperature, the entanglement has the maximal value independent of the number of the screening channels. At low temperature, the entanglement exhibits a power-law thermal decay. The power-law exponent equals two times of the scaling dimension of the BCFT boundary operator describing the impurity spin, and it is attributed to the energy-dependent scaling behavior of the entanglement in energy eigenstates. These agree with numerical renormalization group results, unveiling quantum coherence inside the Kondo screening length.