Electronic thermal transport in strongly correlated multilayered nanostructures

Abstract

The formalism for a linear-response many-body treatment of the electronic contributions to thermal transport is developed for multilayered nanostructures. By properly determining the local heat-current operator, it is possible to show that the Jonson-Mahan theorem for the bulk can be extended to inhomogeneous problems, so the various thermal-transport coefficient integrands are related by powers of frequency (including all effects of vertex corrections when appropriate). We illustrate how to use this formalism by showing how it applies to measurements of the Peltier effect, the Seebeck effect, and the thermal conductance.

arXiv comment17 pages, 4 figures, submitted to Phys. Rev. B

References in corpus (8)

• Surface metal-insulator transition in the Hubbard model
• Spatial inhomogeneity and strong correlation physics: a dynamical mean field study of a model Mott-insulator/band-insulator heterostructure
• Dynamical mean field theory for strongly correlated inhomogeneous multilayered nanostructures
• Modulation Doping near Mott-Insulator Heterojunctions
• Equilibrium Properties of Double-Screened-Dipole-Barrier SINIS Josephson Junctions
• On the spectral relations for multitime correlation functions
• Thermoelectric properties of junctions between metal and strongly correlated semiconductor
• Crossover from tunneling to incoherent (bulk) transport in a correlated nanostructure

Cited by in corpus (16)

• Thermo-spin effects in a quantum dot connected to ferromagnetic leads
• Enhancement of the Na${}_x$CoO${}_2$ thermopower due to electronic correlations
• Embedding approach for dynamical mean field theory of strongly correlated heterostructures
• Electronic Interface Reconstruction at Polar-Nonpolar Mott Insulator Heterojunctions
• Effects of electronic correlations and disorder on the thermopower of NaxCoO2
• Aspects of metallic low-temperature transport in Mott-insulator/ band-insulator superlattices: optical conductivity and thermoelectricity
• Many-body effects on the capacitance of multilayers made from strongly correlated materials
• Time-Dependent Thermopower Effect in an Interacting Quantum Dot
• Inhomogeneous spectral moment sum rules for the retarded Green function and self-energy of strongly correlated electrons or ultracold fermionic atoms in optical lattices
• Effect of correlated hopping on thermoelectric properties: Exact solutions for the Falicov-Kimball model
• The LDA+DMFT route to identify good thermoelectrics
• Competition between reduced delocalization and charge transfer effects for a two-band Hubbard model
• Resonant enhancement of thermoelectric properties by correlated hopping for the Falicov-Kimball model on Bethe lattice
• Effect of vertex corrections on the longitudinal transport through multilayered nanostructures: Exact dynamical mean-field theory approach applied to the inhomogeneous Falicov-Kimball model
• Thermoelectric transport parallel to the planes in a multilayered Mott-Hubbard heterostructure
• Thermoelectric properties of Mott insulator with correlated hopping at microdoping