An approach to quantum transport based on reduced hierarchy equations of motion: Application to a resonant tunneling diode

Abstract

The quantum dissipative dynamics of a tunneling process through double barrier structures is investigated on the basis of a rigorous treatment for the first time. We employ a Caldeira-Leggett Hamiltonian with an effective potential calculated self-consistently, accounting for the electron distribution. With this Hamiltonian, we use the reduced hierarchy equations of motion in the Wigner space representation to study the effects of non-Markovian thermal fluctuations and dissipation at finite temperature in a rigorous manner. Hysteresis, double plateau-like behavior, and self-excited current oscillation are observed in a negative differential resistance (NDR) region of the current-voltage curve. We find that while most of the current oscillations decay in time in the NDR region, there is a steady oscillation characterized by a tornado-like rotation in the Wigner space in the upper plateau of the NDR region.

7 pages 4 figures

References in corpus (5)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Long-Lived Electronic Coherence in Dissipative Exciton-Dynamics of Light-Harvesting Complexes
• Non-Markovian entanglement dynamics in the presence of system-bath coherence
• Reduced hierarchy equations of motion approach with Drude plus Brownian spectral distribution: Probing electron transfer processes by means of two- dimensionalcorrelation spectroscopy
• Spin Squeezing under Non-Markovian Channels by Hierarchy Equation Method

Cited by in corpus (13)

• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Reduced hierarchical equations of motion in real and imaginary time: Correlated initial states and thermodynamic quantities
• Real-Time and Imaginary-Time Quantum Hierarchal Fokker-Planck Equations
• Hierarchical Schrödinger Equations of Motion for Open Quantum Dynamics
• The Driven Liouville von Neumann Equation in Lindblad Form
• Improved Dyson series expansion for steady-state quantum transport beyond the weak coupling limit - divergences and resolution
• Quantum Suppression of Ratchet Rectification in a Brownian System Driven by a Biharmonic Force
• Low-Temperature Quantum Fokker-Planck and Smoluchowski Equations and Their Extension to Multistate Systems
• Linear, third- and fifth-order nonlinear spectroscopy of a charge transfer system coupled to an underdamped vibration
• Self-excited current oscillations in a resonant tunneling diode described by a model based on the Caldeira-Leggett Hamiltonian
• Time-dependent transport in open systems based on quantum master equations
• Thermodynamic quantum Fokker-Planck equations and their application to thermostatic Stirling engine
• Open quantum dynamics theory on the basis of periodical system-bath model for discrete Wigner function