Theory of Thermal Conductivity on Excitonic Insulator

Abstract

We study the thermal conductivity in the excitonic insulator using a simple quasi one-dimensional two-band model consisting of electron and hole bands with the Coulomb interactions between these bands. Based on the linear response theory within a mean-field scheme, we develop a method to identify the contributions to thermal conductivity driven by excitonic insulator. It is found that there is an additional heat current operator owing to the excitonic phase transition, and that it gives contributions to thermal conductivity which are not expressed in the form of Sommerfeld-Bethe relations written in the form of an imaginary-time derivative of the electric current operator. Finally, we discuss the relationship between the newly-found additional contribution and the heat current carried by excitons.

arXiv comment11 pages, 6 figures

References in corpus (20)

• Evidence for an excitonic insulator phase in 1T-TiSe${}_2$
• Excitonic superfluid phase in Double Bilayer Graphene
• Quantum Hall Drag of Exciton Superfluid in Graphene
• Gate-Tuned Spontaneous Exciton Insulator in Double-Quantum Wells
• Excitonic Bose-Einstein condensation in Ta2NiSe5 above room temperature
• On the possibility of an excitonic insulator at the semiconductor-semimetal transition
• Excitonic condensation in systems of strongly correlated electrons
• Giant exciton Fano resonance in quasi-one-dimensional Ta${}_2$NiSe${}_5$
• Interplay of exciton condensation and quantum spin Hall effect in InAs/GaSb bilayers
• A BCS-BEC crossover in the extended Falicov-Kimball model: Variational cluster approach
• Photo-induced enhancement of excitonic order
• Spin-Triplet Excitonic Insulator: The Case of Graphone
• Strong interband interaction in the excitonic insulator phase of Ta${}_2$NiSe${}_5$
• General Formula for the Thermoelectric Transport Phenomena based on the Fermi Liquid Theory: Thermopower, Nernst Coefficient, and Thermal Conductivity
• Order, criticality and excitations in the extended Falicov-Kimball model
• Roles of Hund's rule coupling in excitonic density-wave states
• Infrared phonon spectra of quasi-one-dimensional Ta${}_2$NiSe${}_5$ and Ta${}_2$NiS${}_5$
• FFLO Excitonic State in the Three-Chain Hubbard Model for Ta${}_2$NiSe${}_5$
• Spin-Orbital Entangled Excitonic Insulators in $(t_{2g}{)}^4$ Correlated Electron Systems
• Theory of Orbital Susceptibility on Excitonic Insulator

Cited by in corpus (2)

• Thermoelectric properties in semimetals with inelastic electron-hole scattering
• Data-driven reconstruction of spectral conductivity and chemical potential from thermoelectric transport data