Single-molecule-mediated heat current between an electronic and a bosonic bath

Abstract

In molecular devices electronic degrees of freedom are coupled to vibrational modes of the molecule, offering an opportunity to study fundamental aspects of this coupling between at the nanoscale. To this end we consider the nonequilibrium heat exchange between a conduction band and a bosonic bath mediated by a single molecule. For molecules large enough so that on-site interactions can be dropped we carry out an asymptotically exact calculation of the heat current, governed by the smallness of the electron-phonon coupling, and obtain the steady state heat current driven by a finite temperature drop. At low temperatures the heat current is found to have a power-law behavior with respect to the temperature difference with the power depending on the nature of the bosonic bath. At high temperatures, on the other hand, the current is linear in the temperature difference for all types of bosonic baths. The crossover between these behaviors is described. Some of the results are given a physical explanation by comparing to a perturbative Master equation calculation (whose limitation we examine).

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Cited by in corpus (9)

• Vibrational Heat Transport in Molecular Junctions
• Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
• Heat transfer in the spin-boson model: A comparative study in the incoherent tunneling regime
• Large Random Arrowhead Matrices: Multifractality, Semi-Localization, and Protected Transport in Disordered Quantum Spins Coupled to a Cavity
• Effects of electron-phonon interaction on thermal and electrical transport through molecular nano-conductors
• Energy current and its statistics in the nonequilibrium spin-boson model: Majorana fermion representation
• Electron and phonon drag in thermoelectric transport through coherent molecular conductors
• Dynamics of the impurity screening cloud following quantum quenches of the Resonant Level Model
• Computation of transient dynamics of energy power for a dissipative two state system