Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/9905005 · Journal of Physics A Mathematical and General

Thermodynamics of the Kondo model with electronic interactions

Shi-Jian Gu, You‐Quan Li, Hai-Qing Lin

Published Sep 13, 2000• 2 citations
arXivHTMLPDF

Abstract

On the basis of the Bethe ansatz solution of the one-dimensional Kondo model with electronic interaction, the thermodynamics equilibrium of the system at finite temperature is studied in terms of the strategy of Yang and Yang. The string hypothesis in the spin rapidity is discussed extensively. The thermodynamics quantities, such as the specific heat and the magnetic susceptibility, are obtained.

DOI
10.1088/0305-4470/33/38/309

Related papers

Thermodynamics of trapped interacting bosons in one dimension

Shi-Jian Gu, You‐Quan Li, Zu‐Jian Ying

On the basis of Bethe ansatz solution of bosons with δ-function interaction in a one-dimensional potential well, the thermodynamics equilibrium of the system in finite temperature is studied by using the strategy of Yang and Yang. The thermodynamics quantities, such as specific heat, etc., are obtained for the cases of the strong coupling and weak coupling limits respectively.

arXiv:cond-mat/0011159•Journal of Mathematical Physics•Feb 1, 2001•0 citations

Thermodynamic Quantities of the One-Dimensional Hubbard Model at Finite Temperatures

Tatsuya Usuki, Norio Kawakami, Ayao Okiji

The thermodynamic quantities of the 1D Hubbard model are investigated exactly by means of the Bethe Ansatz solution at finite temperatures. For an arbitrary electron concentration, the magnetic susceptibility, the charge susceptibility and the specific heat are calculated numerically as a function of temperature. On the basis of the obtained results, the characteristic behavior, which appears in the charge excitation near half-filling, is discussed, and is understood to be closely related to the gap formation of the Mott-type insulator.

Journal of the Physical Society of Japan•Apr 15, 1990•62 citations

Thermodynamics of the anisotropic two-channel Kondo problem

Gergely Zaránd, Theo A. Costi, Andrés Jerez +1 more

We construct and solve numerically the thermodynamic Bethe-ansatz equations for the spin-anisotropic two-channel Kondo model in arbitrary external field h. At high temperatures the specific heat and the susceptibility show power-law dependence. For $\stackrel{\ensuremath{\rightarrow}}{h}0$ and at temperatures below the Kondo temperature ${T}_{K}$ a two-channel Kondo effect develops characterized by a Wilson ratio $8/3,$ and a logarithmic divergence of the susceptibility and the linear specific-heat coefficient. A finite magnetic field, $h>0,$ drives the system to a Fermi-liquid fixed point with an unusual Wilson ratio which depends sensitively on h.

arXiv:cond-mat/0110204•Physical review. B, Condensed matter•Mar 19, 2002•26 citations

Thermodynamic properties of the Anderson model (invited)

Ayao Okiji, Norio Kawakami

It is shown that the Anderson Hamiltonian is one of the Hamiltonians which can be solved exactly by means of the Bethe ansatz method. The thermodynamic quantities calculated on the basis of the exact solution are the magnetic susceptibility and the electronic specific heat.

Journal of Applied Physics•Mar 15, 1984•37 citations

The Thermodynamics of the XXZ Heisenberg Chain with Impurities

Hou, Boyu, Kangjie Shi, Rui‐Hong Yue +1 more

In this paper, we discuss the effect of the arbitrary spin impurities to the spin-1/2 and spin-1 XXZ model. The effect of ground state, the free energy, the magnetic susceptibility, the specific heat and the Kondo temperature are given by using the thermodynamic Bethe ansatz equation.

arXiv:cond-mat/9910386•Oct 25, 1999•0 citations

Exact results for a Kondo impurity with electronic correlations

You‐Quan Li, P.-A. Barès

A one-dimensional model of a Kondo impurity with arbitrary spin in the presence of electronic correlations is solved exactly. The Bethe ansatz equations are obtained for the case of quadratic dispersion. The ground state is studied in the thermodynamic limit, and the magnetic susceptibility at zero temperature is calculated.

arXiv:cond-mat/9708076•Physical review. B, Condensed matter•Nov 1, 1997•4 citations
On the basis of the Bethe ansatz solution of the one-dimensional Kondo model with electronic interaction, the thermodynamics equilibrium of the system at finite temperature is studied in terms of the strategy of Yang and Yang. The string hypothesis in the spin rapidity is discussed extensively. The thermodynamics quantities, such as the specific heat and the magnetic susceptibility, are obtained.
The thermodynamic quantities of the 1D Hubbard model are investigated exactly by means of the Bethe Ansatz solution at finite temperatures. For an arbitrary electron concentration, the magnetic susceptibility, the charge susceptibility and the specific heat are calculated numerically as a function of temperature. On the basis of the obtained results, the characteristic behavior, which appears in the charge excitation near half-filling, is discussed, and is understood to be closely related to the gap formation of the Mott-type insulator.
We construct and solve numerically the thermodynamic Bethe-ansatz equations for the spin-anisotropic two-channel Kondo model in arbitrary external field h. At high temperatures the specific heat and the susceptibility show power-law dependence. For $\stackrel{\ensuremath{\rightarrow}}{h}0$ and at temperatures below the Kondo temperature TK{T}_{K}TK​ a two-channel Kondo effect develops characterized by a Wilson ratio 8/3,8/3,8/3, and a logarithmic divergence of the susceptibility and the linear specific-heat coefficient. A finite magnetic field, h>0,h>0,h>0, drives the system to a Fermi-liquid fixed point with an unusual Wilson ratio which depends sensitively on h.