Current-Induced Effects in Nanoscale Conductors

Bushong, Neil; Ventra, Massimiliano Di

doi:10.1007/3-540-31514-4_7

Cited by 1 publication

(1 citation statement)

References 58 publications

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“…12 At T = 0, dissipation drives the system toward its ground state, which we denote by the index n = 1. Therefore, it is reasonable to select ␥ nn Ј = 0 for n Ͼ 1.…”

Section: ˙Mmentioning

confidence: 99%

Effective single-particle order-Nscheme for the dynamics of open noninteracting many-body systems

Pershin

Ventra

2008

Phys. Rev. B

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Quantum master equations are common tools to describe the dynamics of many-body systems open to an environment. Due to the interaction with the latter, even for the case of noninteracting electrons, the computational cost to solve these equations increases exponentially with the particle number. We propose a simple scheme, which allows to study the dynamics of N noninteracting electrons taking into account both dissipation effects and Fermi statistics, with a computational cost that scales linearly with N. Our method is based on a mapping of the many-body system to a specific set of effective single-particle systems. We provide detailed numerical results showing excellent agreement between the effective single-particle scheme and the exact many-body one, as obtained from studying the dynamics of two different systems. In the first, we study optically-induced currents in quantum rings at zero temperature, and in the second we study a linear chain coupled at its ends to two thermal baths with different ͑finite͒ temperatures. In addition, we give an analytical justification for our method, based on an exact averaging over the many-body states of the original master equations.

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“…12 At T = 0, dissipation drives the system toward its ground state, which we denote by the index n = 1. Therefore, it is reasonable to select ␥ nn Ј = 0 for n Ͼ 1.…”

Section: ˙Mmentioning

confidence: 99%

Effective single-particle order-Nscheme for the dynamics of open noninteracting many-body systems

Pershin

Ventra

2008

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

Current-Induced Effects in Nanoscale Conductors

Cited by 1 publication

References 58 publications

Effective single-particle order-Nscheme for the dynamics of open noninteracting many-body systems

Effective single-particle order-Nscheme for the dynamics of open noninteracting many-body systems

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