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      Charge and Energy Transport through Quantum Dots

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      This work has been published open access under Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com.

      Hubbard-Stratonovich transformation, Hartree-Fock approximation, Tight-binding model, Charge current, Energy transport, Spinless fermion model, Landauer formula, Quantum dot, Charge transport

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          Abstract

          We consider a model of interacting spinless fermions coupled to non-interacting leads. Initially a non-equilibrium situation is imposed by applying a bias voltage and temper- ature gradient across the system. The time-evolution of the density matrix leads to a quasi-stationary state from which charge and energy currents can be extracted. Numeri- cal results based on the time-dependent Hartree-Fock approximation are compared with exact currents obtained from discrete Hubbard-Stratonovich decoupling of the interac- tion for small systems. For a wide range of parameters the time-evolution of the currents is reasonably well described within the Hartree-Fock approach.

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          Journal
          10.14293/P2199-8442.1.SOP-PHYS.PGS0ZR.v1

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