On steady-state currents through nano-devices: a scattering-states numerical renormalization group approach to open quantum systems

Abstract

We propose a numerical renormalization group (NRG) approach to steady-state currents through nano-devices. A discretization of the scattering-states continuum ensures the correct boundary condition for an open quantum system. We introduce two degenerate Wilson chains for current carrying left and right-moving electrons reflecting time-reversal symmetry in the absence of a finite bias $V$. We employ the time-dependent NRG to evolve the known steady-state density operator for a non-interacting junction into the density operator of the fully interacting nano-device at finite bias. We calculate the temperature dependent current as function of $V$ and applied external magnetic field using a recently developed algorithm for non-equilibrium spectral functions.

4 pages, 6 figures

References in corpus (5)

• The numerical renormalization group method for quantum impurity systems
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• The influence of ultra-fast laser pulses on electron transfer in molecular wires studied by a non-Markovian density matrix approach
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Enhancement of the Two-channel Kondo Effect in Single-Electron boxes

Cited by in corpus (8)

• Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
• Transport properties and Kondo correlations in nanostructures: the time-dependent DMRG method applied to quantum dots coupled to Wilson chains
• Nonequilibrium isolated molecule limit
• Real-time renormalization group in frequency space: A 2-loop analysis of the nonequilibrium anisotropic Kondo model at finite magnetic field
• Fermi liquid theory for SU(N) Kondo model
• Universal scaling in nonequilibrium transport through an Anderson impurity
• Manual for the Flexible DM-NRG code
• Asymptotic non-equilibrium steady state operators