Nonequilibrium fluctuation-dissipation relations for one- and two-particle correlation functions in steady-state quantum transport

Abstract

We study the non-equilibrium (NE) fluctuation-dissipation (FD) relations in the context of quantum thermoelectric transport through a two-terminal nanodevice in the steady-state. The FD relations for the one- and two-particle correlation functions are derived for a model of the central region consisting of a single electron level. Explicit expressions for the FD relations of the Green's functions (one-particle correlations) are provided. The FD relations for the current-current and charge-charge (two-particle) correlations are calculated numerically. We use self-consistent NE Green's functions calculations to treat the system in the absence and in the presence of interaction (electron-phonon) in the central region. We show that, for this model, there is no single universal FD theorem for the NE steady state. There are different FD relations for each different class of problems. We find that the FD relations for the one-particle correlation function are strongly dependent on both the NE conditions and the interactions, while the FD relations of the current-current correlation function are much less dependent on the interaction. The latter property suggests interesting applications for single-molecule and other nanoscale transport experiments.

This revised version is now accepted for publication in the Journal of Chemical Physics (March 2014). arXiv admin note: text overlap with arXiv:1305.5077

References in corpus (13)

• Inelastic transport theory from first-principles: methodology and applications for nanoscale devices
• Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
• Fluctuation theorems in driven open quantum systems
• Inelastic tunneling effects on noise properties of molecular junctions
• Quantum work relations and response theory
• Quantum Bochkov-Kuzovlev Work Fluctuation Theorems
• Exploring the limits of the self consistent Born approximation for inelastic electronic transport
• Quantum Criticality out of Equilibrium: Steady State in a Magnetic Single-Electron Transistor
• A unified approach to the derivation of work theorems for equilibrium and steady-state, classical and quantum Hamiltonian systems
• Imaginary-time quantum many-body theory out of equilibrium I: Formal equivalence to Keldysh real-time theory and calculation of static properties
• Nonequilibrium distribution functions for quantum transport: universality and approximation for the steady state regime
• Non-equilibrium charge susceptibility and dynamical conductance: Identification of scattering processes in quantum transport
• Many-body current formula and current conservation for non-equilibrium fully interacting nanojunctions

Cited by in corpus (3)

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