Bound States in Time-Dependent Quantum Transport: Oscillations and Memory Effects in Current and Density

Abstract

The presence of bound states in a nanoscale electronic system attached to two biased, macroscopic electrodes is shown to give rise to persistent, non-decaying, localized current oscillations which can be much larger than the steady part of the current. The amplitude of these oscillations depends on the entire history of the applied potential. The bound-state contribution to the {\em static} density is history-dependent as well. Moreover, the time-dependent formulation leads to a natural definition of the bound-state occupations out of equilibrium.

4 pages, 3 figures

References in corpus (8)

• Time-dependent quantum transport: A practical scheme using density functional theory
• Time-Dependent Partition-Free Approach in Resonant Tunneling Systems
• Electron Transport Through Molecules: Self-consistent and Non-self-consistent Approaches
• Density functional calculations of nanoscale conductance
• Time-dependent quantum transport: an exact formulation based on TDDFT
• Non-equilibrium Green's function formalism and the problem of bound states
• Bound states in ab initio approaches to quantum transport: A time-dependent formulation
• The Role of Bound States in Time-Dependent Quantum Transport

Cited by in corpus (18)

• Dynamical Coulomb Blockade and the Derivative Discontinuity of Time-Dependent Density Functional Theory
• Time-dependent density functional theory for quantum transport
• Time-dependent quantum transport with superconducting leads: a discrete basis Kohn-Sham formulation and propagation scheme
• Luttinger-field approach to thermoelectric transport in nanoscale conductors
• Adiabatic approximation in time-dependent reduced-density-matrix functional theory
• Correlation effects in bistability at the nanoscale: steady state and beyond
• Tkwant: a software package for time-dependent quantum transport
• An efficient method for quantum transport simulations in the time domain
• A many-body approach to transport in quantum systems: From the transient regime to the stationary state
• Topological characterization and stability of Floquet Majorana modes in Rashba nanowire
• Electronic transport in molecular junctions: The generalized Kadanoff-Baym ansatz with initial contact and correlations
• Time-dependent bond-current functional theory for lattice Hamiltonians: fundamental theorem and application to electron transport
• From Bloch Oscillations to a Steady-State Current in Strongly Biased Mesoscopic Devices
• Landauer transport as a quasisteady state on finite chains under unitary quantum dynamics
• Time-resolved impurity-invisibility in graphene nanoribbons
• Optimization of electron pumping by harmonic mixing
• Transitional steady states of exchange dynamics between finite quantum systems
• Randomly Fluctuating Potential Controlled Multistable Resonant Tunneling Current through a Quantum Dot