1999/03/31 by T. A. Costi, Gergely Zaránd, G. Zarand
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Anisotropy #Ansatz #Bethe ansatz #Condensed matter physics #Connection (principal bundle) #Dissipation #Dissipative system #Electrical resistivity and conductivity #Kondo effect #Kondo model #Logarithm #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Scaling #Thermodynamic limit #Thermodynamics #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.59.12398
published as Phys. Rev. B59, 12398-418 (1999) · 24 pages, 32 PS figures. Typos corrected, final version
arxiv created 1999/05/03 · openalex publication_date 1999/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The thermodynamics of the dissipative two-state system is calculated exactly for all temperatures and level asymmetries for the case of Ohmic dissipation. We exploit the equivalence of the two-state system to the anisotropic Kondo model and extract the thermodynamics of the former by solving the thermodynamic Bethe-ansatz equations of the latter. The universal scaling functions for the specific heat C_\ensuremathα(T) and static dielectric susceptibility \ensuremathχ_\ensuremathα(T) are extracted for all dissipation strengths 0<\ensuremathα<1. The logarithmic corrections to these quantities at high temperatures are found in the Kondo limit \stackrel\ensuremath→\ensuremathα1^\ensuremath-, whereas for \ensuremathα<1 we find the expected power law temperature dependences with the powers being functions of the dissipative coupling \ensuremathα. The low-temperature behavior is always that of a Fermi liquid.