Wigner transport models of the electron-phonon kinetics in quantum wires

Nedjalkov, Mihail; Vasileska, Dragica; Ferry, D. K.; Jacoboni, Carlo; Ringhofer, Christian; Dimov, Ivan; Palankovski, V.

doi:10.1103/physrevb.74.035311

Cited by 31 publications

(23 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There exist various techniques for describing open quantum systems coupled to fermionic reservoirs: e.g., scattering theory and Green's functions 12,13,14 , or quantum master equations starting from the von-Neumann equation for the total density operator 15 , or the Wigner-Boltzmann approach 16,17,18 . Master equations are widely considered with a conductor-lead coupling in Born-Markov approximation (see e.g.…”

Section: Introductionmentioning

confidence: 99%

Weak-coupling approximations in non-Markovian transport

et al. 2009

View full text Add to dashboard Cite

We study the transport properties of the Fano-Anderson model with non-Markovian effects, which are introduced by making one tunneling rate energy-dependent. We show that the non-Markovian master equation may fail if these effects are strong. We evaluate the stationary current, the zero frequency current noise and the occupation dynamics of the resonant level by means of a quantum master equation approach within different approximation schemes and compare the results to the exact solution obtained by scattering theory and Green's functions.

show abstract

Section: Introductionmentioning

confidence: 99%

Weak-coupling approximations in non-Markovian transport

et al. 2009

View full text Add to dashboard Cite

show abstract

“…These begin with the simple relaxation time approximation, the Wigner-Boltzmann equation [4,5] which accounts for scattering, e.g., by phonons and impurities at the classical transport level, and end with the quite complicated Levinson and Barker-Ferry equations, which account for the quantum character of the interaction with the sources of decoherence [6]. Of central interest is the Wigner-Boltzmann equation, which, as suggested by the name, unifies the two theories and ensures a seamless transition between purely coherent and classical transport [7]the Wigner function gradually turns into the Boltzmann distribution function.…”

Section: Wigner Formalism In Semiconductor Transportmentioning

confidence: 99%

Distributed-memory parallelization of the Wigner Monte Carlo method using spatial domain decomposition

Ellinghaus¹,

Weinbub²,

Nedjalkov³

et al. 2014

J Comput Electron

View full text Add to dashboard Cite

The Wigner Monte Carlo method, based on the generation and annihilation of particles, has emerged as a promising approach to treat transient problems of quantum electron transport in nanostructures. Tackling these simulations in multiple spatial dimensions demands a parallelized approach to facilitate a practical application of the method in order to investigate realistic problems, due to the otherwise exorbitant execution-times and memory requirements. Because of the annihilation step, a straight-forward parallelization of the Wigner Monte Carlo code is not possible, since sub-ensembles of particles can not be treated independently. Moreover, the large memory requirements of the annihilation procedure presents challenges when working in a distributed-memory setting. A solution to this problem is presented here with a parallelization approach using a spatial domain decomposition, implemented using the message passing interface. The presented benchmark results, based on standard one-dimensional examples, exhibit a good efficiency in the scalability of not only speed, but also memory consumption, which is paramount for the simulation of realistic devices.

show abstract

“…These scales become relevant for the process of evolution of an initial electron distribution, locally excited or injected into a semiconductor nanowire. Beyond-Boltzmann transport models for wire electrons have been recently derived [3] in terms of the Wigner function. They appear as inhomogeneous conterparts of Levinson's and the Barker-Ferry's equations.…”

Section: Physical Modelmentioning

confidence: 99%

Modeling of Carrier Transport in Nanowires

Gurov

Atanassov

Nedjalkov

et al. 2007

Computational Science – ICCS 2007

Self Cite

View full text Add to dashboard Cite

Abstract.We consider a physical model of ultrafast evolution of an initial electron distribution in a quantum wire. The electron evolution is described by a quantum-kinetic equation accounting for the interaction with phonons. A Monte Carlo approach has been developed for solving the equation. The corresponding Monte Carlo algorithm is NP -hard problem concerning the evolution time. To obtain solutions for long evolution times with small stochastic error we combine both variance reduction techniques and distributed computations. Grid technologies are implemented due to the large computational efforts imposed by the quantum character of the model.

show abstract

Wigner transport models of the electron-phonon kinetics in quantum wires

Cited by 31 publications

References 47 publications

Weak-coupling approximations in non-Markovian transport

Weak-coupling approximations in non-Markovian transport

Distributed-memory parallelization of the Wigner Monte Carlo method using spatial domain decomposition

Modeling of Carrier Transport in Nanowires

Contact Info

Product

Resources

About