Tunneling through nanosystems: Combining broadening with many-particle states
arXiv:cond-mat/0509024 · doi:10.1103/PhysRevB.72.195330
Abstract
We suggest a new approach for transport through finite systems based on the Liouville equation. By working in a basis of many-particle states for the finite system, Coulomb interactions are taken fully into account and correlated transitions by up to two different contact states are included. This latter extends standard rate equation models by including level-broadening effects. The main result of the paper is a general expression for the elements of the density matrix of the finite size system, which can be applied whenever the eigenstates and the couplings to the leads are known. The approach works for arbitrary bias and for temperatures above the Kondo temperature. We apply the approach to standard models and good agreement with other methods in their respective regime of validity is found.
9 pages, 5 figures included to text
References in corpus (16)
- Density functional method for nonequilibrium electron transport
- From the Kondo Regime to the Mixed-Valence Regime in a Single-Electron Transistor
- First-Principles Based Matrix-Green's Function Approach to Molecular Electronic Devices: General Formalism
- The Anderson Model out of Equilibrium: Non-Crossing-Approximation Approach to Transport through a Quantum Dot
- Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
- Microscopic derivation of rate equations for quantum transport
- Time-Dependent Partition-Free Approach in Resonant Tunneling Systems
- Time-dependent resonant tunneling via two discrete states
- Non-Equilibrium Transport through a Kondo-Dot in a Magnetic Field: Perturbation Theory and Poor Man's Scaling
- Rate equations for quantum transport in multi-dot systems
- Quantum master equation approach to quantum transport through mesoscopic systems
- Cotunneling at resonance for the single-electron transistor
- Real-time renormalization group and charge fluctuations in quantum dots
- Selection Rules for Transport Excitation Spectroscopy of Few-Electron Quantum Dots
- Non-Equilibrium Electron Transport in Two-Dimensional Nano-Structures Modeled by Green's Functions and the Finite-Element Method
- Coulomb effects in tunneling through a quantum dot stack
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