2005/08/31 by B. Sriram Shastry, B Sriram Shastry · 58 citations
Chemistry · Materials Science · Physics and Astronomy · #Advanced Thermoelectric Materials and Devices #Chemistry #Condensed matter physics #Figure of merit #Lattice (music) #Operator (biology) #Physics #Quantum mechanics #Seebeck coefficient #Statistical physics #Sum rule in quantum mechanics #Thermal #Thermal Expansion and Ionic Conductivity #Thermal conductivity #Thermal properties of materials #Thermodynamics #Thermoelectric effect #cond-mat.other #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.73.085117
published in Physical Review B 73(8) (American Physical Society) · Erratum to Phys Rev incorporated, fixing typos in Eqs(41,87,88)
openalex publication_date 2006/02/27 · arxiv created 2006/06/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We display an interesting sum rule for the dynamical thermal conductivity for many standard models of condensed matter in terms of the expectation of a thermal operator. We present the thermal operator for several model systems of current interest, which enable an evaluation of the sum rule and the Lorentz number, the thermoelectric figure of merit as well as the thermopower at high frequencies. As a by-product, we present exact formulas for the T=0 chemical potential \ensuremathμ(0) for charged many-body systems, including the Hubbard model, in terms of expectation values of extensive operators. Simple estimates are provided for the thermopower of an infinitely correlated band model on the triangular lattice, modeling the physics of the sodium cobalt oxide system. The present result goes beyond the Heikes-Mott formula for the thermopower, and contains an additional transport correction that is sensitive to the lattice topology as well as the sign of hopping.