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Quantum pumping in closed systems is considered. We explain that the Kubo formula contains all the physically relevant ingredients for the calculation of the pumped charge ($Q$) within the framework of linear response theory. The relation…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Doron Cohen

We consider the phenomenon of quantum charge pumping of electrons across a superconducting double barrier structure in graphene in the adiabatic limit. In this geometry, quantum charge pumping can be achieved by modulating the amplitudes…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Arijit Kundu , Sumathi Rao , Arijit Saha

We study non-adiabatic two-parameter charge and spin pumping through a single-level quantum dot with Coulomb interaction. For the limit of weak tunnel coupling and in the regime of pumping frequencies up to the tunneling rates, $\Omega…

Mesoscale and Nanoscale Physics · Physics 2011-10-10 Fabio Cavaliere , Michele Governale , Jürgen König

A quantum pumping mechanism which produces dc current or voltage in response to a cyclic deformation of the confining potential in an open quantum dot is reported. The voltage produced at zero current bias is sinusoidal in the phase…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Switkes , C. M. Marcus , K. Campman , A. C. Gossard

We study synchronized quantized charge pumping through several dynamical quantum dots (QDs) driven by a single time modulated gate signal. We show that the main obstacle for synchronization being the lack of uniformity can be overcome by…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 P. Mirovsky , B. Kaestner , C. Leicht , A. C. Welker , T. Weimann , K. Pierz , H. W. Schumacher

Statistics of charge transport in an adiabatic pump are determined by the dynamics of the scattering matrix S(t). We show that, up to an integer offset, the statistics depend only on the corresponding path N(t)=S^\dagger\sigma_3 S in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy Makhlin , Alexander Mirlin

We study a one-dimensional quantum pump composed of two oscillating delta-functional barriers. The linear and non-linear regimes are considered. The harmonic signal applied to any or both barriers causes the stationary current. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. M. Mahmoodian , L. S. Braginskii , M. V. Entin

The quantum Hall effect is a fascinating electrical transport phenomenon signified by precise quantization of Hall conductivity $\sigma_\mathrm{xy}$ and vanishing longitudinal conductivity $\sigma_\mathrm{xx}$. Laughlin proposed an elegant…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Renfei Wang , Xiao Liu , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Wenfeng Zhang , Rui-Rui Du , Mansour Shayegan , Xi Lin , Ying-Hai Wu , Yang Liu

Adiabatic quantum pumping in noninteracting, phase coherent quantum dots is elegantly described by Brouwer's formula. Interactions within the dot, while suppressing phase coherence, make Brouwer's formalism inapplicable. In this paper, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Davide Fioretto , Alessandro Silva

Surface Acoustic Wave (SAW) is a powerful technique for investigating quantum phases appearing in two-dimensional electron systems. The electrons respond to the piezoelectric field of SAWthrough screening, attenuating its amplitude and…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Xiao Liu , Mengmeng Wu , Renfei Wang , Xinghao Wang , Wenfeng Zhang , Yujiang Dong , Rui-Rui Du , Yang Liu , Xi Lin

The adiabatic charge pumping of a non-equilibrium state of spinless fermions in a one-dimensional lattice is investigated, with an emphasis placed on its usefulness in revealing many-body interaction effects on interband coherence. For a…

Mesoscale and Nanoscale Physics · Physics 2019-10-14 Sen Mu , Da-Jian Zhang , Longwen Zhou , Jiangbin Gong

We investigate a recently developed scheme for quantized charge pumping based on single-parameter modulation. The device was realized in an AlGaAl-GaAs gated nanowire. It has been shown theoretically that non-adiabaticity is fundamentally…

Mesoscale and Nanoscale Physics · Physics 2012-01-10 B. Kaestner , C. Leicht , P. Mirovsky , V. Kashcheyevs , E. V. Kurganova , U. Zeitler , K. Pierz , H. W. Schumacher

With the anticipated redefinition of the international system of units (SI) the base units will be linked to fundamental constants of nature [1]. As for the electrical base unit "Ampere", it will be linked to the elementary charge e,…

We study theoretically the geometrical and temporal commensurability oscillations induced in the resistivity of 2D electrons in a perpendicular magnetic field by surface acoustic waves (SAWs). We show that there is a positive anisotropic…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Malcolm P. Kennett , John P. Robinson , Nigel R. Cooper , Vladimir I. Fal'ko

We investigate charge and spin transport through an adiabatically driven, strongly interacting quantum dot weakly coupled to two metallic contacts with finite bias voltage. Within a kinetic equation approach, we identify coefficients of…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Hernan L. Calvo , Laura Classen , Janine Splettstoesser , Maarten R. Wegewijs

We use exact techniques to demonstrate theoretically the pumping of fractional charges in a single-level non-interacting quantum dot, when the dot-reservoir coupling is adiabatically driven from weak to strong coupling. The pumped charge…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Masahiro Hasegawa , Etienne Jussiau , Robert S. Whitney

Acousto-electric charge conveyance induced by a surface acoustic wave is employed to dissociate photogenerated excitons. Over macroscopic distances, both electrons and holes are injected \emph{sequentially} into a remotely positioned,…

Time periodic perturbations of an electron system on a ring are examined. For small frequencies periodic small amplitude perturbations give rise to side band currents which in leading order are inversely proportional to the frequency. These…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Moskalets , M. Buttiker

Motivated by experimental realizations of integer quantized charge pumping in one-dimensional superlattices~[Nat. Phys. 12, 350 (2016); Nat. Phys. 12, 296 (2016)], we generalize and propose the adiabatic pumping of a fractionalized charge…

Strongly Correlated Electrons · Physics 2016-12-19 Tian-Sheng Zeng , W. Zhu , D. N. Sheng

Pumping of charge (Q) in a closed ring geometry is not quantized even in the strict adiabatic limit. The deviation form exact quantization can be related to the Thouless conductance. We use Kubo formalism as a starting point for the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Doron Cohen