Transport and Dissipation in Quantum Pumps

Avron, J. E.; Elgart, Alexander; Graf, Gian Michele; Sadun, Lorenzo

doi:10.1023/b:joss.0000037245.45780.e1

Cited by 60 publications

(56 citation statements)

References 32 publications

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“…At zero temperature T = 0, we have K(τ ) = 1 2 [1 − cos(ωτ )] −1 , and for α = β the equation (28) agrees with that obtained within the framework of the theory of full counting statistics. 75,76 C. Frequency dependence of the pump current noise…”

Section: Weakly Energy Dependent Scattering Matrixsupporting

confidence: 85%

Floquet scattering theory for current and heat noise in large amplitude adiabatic pumps

Moskalets

Büttiker

2004

Phys. Rev. B

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We discuss the statistical correlation properties of currents and energy flows generated by an adiabatic quantum pump. Our approach emphasizes the important role of quantized energy exchange between the sea of electrons and the oscillating scatterer. The frequency ω of oscillations introduces a natural energy scalehω. In the low temperature limit kBT ≪hω the pump generates a shot-like noise which manifests itself in photon-assisted quantum mechanical exchange amplitudes. In the high temperature limit kBT ≫hω the pump produces a thermal-like noise due to ac-currents generated by the pump. We predict that with increasing temperature the frequency dependence of the noise changes. The current noise is linear in ω at low temperatures, is quadratic at intermediate temperatures, and is linear again at high temperatures. Similarly, in the same temperature regions, the heat flow noise is proportional to ω 3 , ω 2 , and ω.

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Section: Weakly Energy Dependent Scattering Matrixsupporting

confidence: 85%

Floquet scattering theory for current and heat noise in large amplitude adiabatic pumps

Moskalets

Büttiker

2004

Phys. Rev. B

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“…Once the incoming energy is fixed and the index E dropped, this definition coincides with the more physical one, (6), based on transmitted and reflected plane waves, see e.g. [1]. In that representation, current conservation is equivalent to the unitarity of the scattering matrix, which is ensured by asymptotic completeness.…”

Section: Transfer Matrixmentioning

confidence: 84%

“…We assume that electrons are injected a fixed energy E and are scattered coherently in the wire. Let be the mean free path 1 of the electrons in the wire (hence depends on λ, namely ∝ λ −2 ) and λ F the Fermi wavelength. We choose as the basic unit of length in which L is measured and hence we define a reduced length…”

Section: Phenomenology Of Disordered Wiresmentioning

confidence: 99%

From the Anderson Model on a Strip to the DMPK Equation and Random Matrix Theory

Bachmann

Roeck

2010

J Stat Phys

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We study weakly disordered quantum wires whose width is large compared to the Fermi wavelength. It is conjectured that such wires display universal metallic behavior as long as their length is shorter than the localization length (which increases with the width). The random matrix theory that accounts for this behavior-the DMPK theory-rests on assumptions that are in general not satisfied by realistic microscopic models. Starting from the Anderson model on a strip, we show that a twofold scaling limit nevertheless allows to recover rigorously the fundaments of DMPK theory, thus opening a way to settle some conjectures on universal metallic behavior.

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“…Recent experimental observations of the quantum pumping effect, including the periodic deformation of the walls of quantum dots [1,2,3,4] and the induction of currents by applying surface acoustic waves in carbon nanotubes [5] triggered an important development in the theoretical description of time-dependent quantum transport [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22].…”

Section: Introductionmentioning

confidence: 99%

Quantum pump effect in one-dimensional systems of Dirac fermions

2007

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We investigate the behavior of the directed current in one-dimensional systems of Dirac fermions driven by local periodic potentials in the forward as well in backscattering channels. We treat the problem with Keldysh non-equilibrium Green's function formalism. We present the exact solution for the case of an infinite wire and show that in this case the dc current vanishes identically. We also investigate a confined system consistent in an annular arrangement coupled to a particle reservoir. We present a perturbative treatment that allows for the analytical expressions of the dc current in the lowest order of the amplitudes of the potential. We also present results obtained from the exact numerical solution of the problem.

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Transport and Dissipation in Quantum Pumps

Cited by 60 publications

References 32 publications

Floquet scattering theory for current and heat noise in large amplitude adiabatic pumps

Floquet scattering theory for current and heat noise in large amplitude adiabatic pumps

From the Anderson Model on a Strip to the DMPK Equation and Random Matrix Theory

Quantum pump effect in one-dimensional systems of Dirac fermions

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