Lattice path integral approach to the one-dimensional Kondo model

Abstract

An integrable Anderson-like impurity model in a correlated host is derived from a gl(2$|$1)-symmetric transfer matrix by means of the Quantum-Inverse-Scattering-Method (QISM). Using the Quantum Transfer Matrix technique, free energy contributions of both the bulk and the impurity are calculated exactly. As a special case, the limit of a localized moment in a free bulk (Kondo limit) is performed in the Hamiltonian and in the free energy. In this case, high- and low-temperature scales are calculated with high accuracy.

arXiv comment26 pages, 9 figures

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Cited by in corpus (6)

• Baxter's Q-operators for supersymmetric spin chains
• Integrable spin chains with random interactions
• Symmetric single-impurity Kondo model on a tight-binding chain: a comparison of analytical and numerical ground-state approaches
• The anisotropic multichannel spin-$S$ Kondo model: Calculation of scales from a novel exact solution
• Eigenvalues of Casimir invariants for Uq[osp(m|n)]
• Crossover from Anderson- to Kondo-like behavior: Universality induced by spin-charge separation