Quantum heat transfer: A Born Oppenheimer method
arXiv:1009.2039 · doi:10.1103/PhysRevE.83.051114
Abstract
We develop a Born-Oppenheimer type formalism for the description of quantum thermal transport along hybrid nanoscale objects. Our formalism is suitable for treating heat transfer in the off-resonant regime, where e.g., the relevant vibrational modes of the interlocated molecule are high relative to typical bath frequencies, and at low temperatures when tunneling effects dominate. A general expression for the thermal energy current is accomplished, in the form of a generalized Landauer formula. In the harmonic limit this expression reduces to the standard Landauer result for heat transfer, while in the presence of nonlinearities multiphonon tunneling effects are realized.
References in corpus (8)
- Energy Dissipation and Transport in Nanoscale Devices
- Heat Transport in low-dimensional systems
- Quantum thermal transport in nanostructures
- Heat transport in harmonic lattices
- Quantum thermal transport from classical molecular dynamics
- Heat flux operator, current conservation and the formal Fourier's law
- Thermal conductance in a spin-boson model: Cotunneling and low temperature properties
- Meir-Wingreen formula for heat transport in a spin-boson nanojunction model
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- Environment dependent vibrational heat transport in molecular Junctions : Rectification, quantum effects, vibrational mismatch
- Theory of quantum energy transfer in spin chains: From superexchange to ballistic motion
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