Bethe-ansatz quantum sine-Gordon thermodynamics. Finite-temperature excitation spectrum

1982 ◽  
Vol 26 (3) ◽  
pp. 1430-1433 ◽  
Author(s):  
Xenophon Zotos ◽  
Michael Fowler
Keyword(s):  
Bethe Ansatz ◽  
Excitation Spectrum ◽  
Finite Temperature

Plasmon excitation spectrum of an electron quantum wire at finite temperature

2018 ◽  
Author(s):  
Akariti Sharma ◽  
Kulveer Kaur ◽  
Vinayak Garg ◽  
R. K. Moudgil
Keyword(s):  
Excitation Spectrum ◽  
Finite Temperature ◽  
Quantum Wire ◽  
Plasmon Excitation ◽  
Electron Quantum

Excitation spectrum of TTF-TCNQ: a finite temperature calculation

Open Physics ◽  
2013 ◽  
Vol 11 (1) ◽  
Author(s):  
Željana Lošić
Keyword(s):  
Excitation Spectrum ◽  
Finite Temperature ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Organic Conductor ◽  
Zero Temperature ◽  
Good Qualitative Agreement ◽  
Temperature Dependent ◽  
Temperature Calculation

AbstractIn this paper we study the excitation spectrum of the organic conductor tetrathiafulvalene-tetracyanoquinodimethane (TTF-TCNQ) using finite temperature calculations. The effect of electronelectron interaction is considered within the random phase approximation (RPA). Our results show the temperature dependent plasmon and dipolar mode corresponding qualitatively to the modes obtained previously using zero temperature formalism assigned to the observed excitations at 10 meV and 0.75 eV. These modes have an essential influence on the energy-loss function. The obtained results are in good qualitative agreement with the optical and EELS data of TTF-TCNQ.

Thermodynamics of the Repulsive Lieb–Liniger Model

2019 ◽  
pp. 633-640
Author(s):  
Hans-Peter Eckle
Keyword(s):  
Bethe Ansatz ◽  
Finite Temperature ◽  
Bose Gas ◽  
Main Ingredient ◽  
Ansatz Method ◽  
One Dimensional ◽  
Bethe Ansatz Solution ◽  
The One

This chapter discusses how the Bethe ansatz solution of the one-dimensional Bose gas with repulsive δ‎-function interaction is extended to finite temperatures, the thermody- namic Bethe ansatz. The excitations of this system consist of particle and hole excitations, which can be described by the corresponding densities of Bethe ansatz roots. It shows how these Bethe ansatz root densities are used to define an appropriate expression for the entropy of the system of Bose particles, which is the main ingredient for the extension of the Bethe ansatz method to finite temperature.

Collective excitation spectrum of an electron quantum wire at finite temperature

2019 ◽  
Author(s):  
Kulveer Kaur ◽  
Akariti Sharma ◽  
Vinayak Garg ◽  
R. K. Moudgil
Keyword(s):  
Excitation Spectrum ◽  
Finite Temperature ◽  
Quantum Wire ◽  
Collective Excitation ◽  
Electron Quantum

Thermodynamics of the Isotropic Heisenberg Quantum Spin Chain

2019 ◽  
pp. 641-654
Author(s):  
Hans-Peter Eckle
Keyword(s):  
Free Energy ◽  
Bethe Ansatz ◽  
Finite Temperature ◽  
Spin Chain ◽  
Conformal Symmetry ◽  
Quantum Spin ◽  
Quantum Spin Chain ◽  
Explicit Formulas ◽  
Thermodynamic Bethe Ansatz ◽  
Physical Quantities

This chapter presents the extension of the Bethe ansatz to finite temperature, the thermodynamic Bethe ansatz, for the antiferromagnetic isotropic Heisenberg quantum spin chain, the XXX quantum spin chain. It discusses how the added complications of this model arise from the more complicated structure of excitations of the quantum spin chain, the complex string excitations, which have to be included in the Bethe ansatz thermodynamics. It derives the integral equations of the thermodynamic Bethe ansatz for the XXX quantum spin chain and mentions explicit formulas for the free energy of the quantum spin chain and some interesting physical quantities, especially making contact with predictions of conformal symmetry.

scholarly journals FATEEV-ZAMOLODCHIKOV SPIN CHAIN: EXCITATION SPECTRUM, COMPLETENESS AND THERMODYNAMICS

1994 ◽  
Vol 09 (28) ◽  
pp. 4921-4947 ◽  
Author(s):  
GIUSEPPE ALBERTINI
Keyword(s):  
Specific Heat ◽  
Bethe Ansatz ◽  
Excitation Spectrum ◽  
Spin Chain ◽  
Central Charge ◽  
Quantum Spin ◽  
Quantum Spin Chain

The sector of zero ZN charge is studied for the ferromagnetic (FM) and antiferromagnetic (AFM) version of the (ZN×Z2)-invariant Fateev-Zamolodchikov quantum spin chain. We conjecture that the relevant Bethe ansatz equations should admit, besides the usual stringlike solutions, exceptional multiplets, and a number of nonphysical solutions. Once the physical ones are identified, we show how completeness and the gapless excitation spectrum can be obtained. The central charge is computed from the specific heat and found to be [Formula: see text] (FM) and c=1 (AFM).

Sign in / Sign up

Export Citation Format

Share Document