Many-body Green's function approach to lattice thermal transport

Many-body localized molecular orbital approach to molecular transport

An ab initio based theoretical approach to describe nonequilibrium many-body effects in molecular transport is developed. We introduce a basis of localized molecular orbitals and formulate the many-body model in this basis. In particular, the Hubbard-Anderson Hamiltonian is derived for single-molecule junctions with intermediate coupling to the leads. As an example we consider a benzenedithiol ...

Thermal transport for many-body tight-binding models

We clarify some aspects of the calculation of the thermal transport coefficients. For a tight-binding Hamiltonian we discuss the approximate nature of the charge current and the thermal current obtained by Peierls substitution which is also identical to the equation of motion technique. We address the issue of choosing an appropriate basis for making the Peierls construction for transport calcu...

Many–Body Aspects of Approach to Equilibrium

In 1956 Mark Kac [5] invented a microscopic, linear model, from which the nonlinear Boltzmann equation describing the evolution of the velocity distribution for a system of colliding particles could be rigorously derived. Consider N particles in one dimension that interact through random collisions. We consider the spatially homogeneous case only, i.e., the case where the particles are uniforml...

Polymer gas approach to N - body lattice

We give a simple proof, based only on combinatorial arguments, of the Koteck y-Preiss condition for the convergence of the cluster expansion. Then we consider spin systems with long range, N body interactions. We prove directly, using polymer gas representation, that the pressure may be written in terms of an absolutely convergent series uniformely in the volume, when the interaction is summabl...

Mesoscopic Transport as Many-body Physics *