Crossover of correlation functions near a quantum impurity in a Tomonaga-Luttinger liquid

2018/05/15 by Chung-Yu Lo, Yoshiki Fukusumi, Masaki Oshikawa +2
Mathematics · Physics and Astronomy · #Boundary value problem #Computer science #Condensed matter physics #Correlation #Crossover #Impurity #Limiting #Luttinger liquid #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Statistical physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.99.121103

published as Phys. Rev. B 99, 121103 (2019)

arxiv created 2018/05/15 · openalex publication_date 2019/03/07 · arxiv updated 2019/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

An impurity in a Tomonaga-Luttinger liquid leads to a crossover between the short- and long-distance regime which describes many physical phenomena. However, a calculation of the entire crossover of correlation functions over different length scales has been difficult. We develop a powerful numerical method based on the infinite density matrix renormalization group. By utilizing infinite boundary conditions we can obtain correlation functions within a finite-size window that contains the impurity. For the S=1/2 chain, we demonstrate that a full crossover can be precisely obtained, and that their limiting behaviors show a good agreement with field-theory predictions.

Citations

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• Tomonaga-Luttinger Liquid Features in Ballistic Single-Walled Carbon Nanotubes: Conductance and Shot Noise
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