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Charge and Energy Transport through Quantum Dots

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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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      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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