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Quantum adiabatic pumping of charge and spin between two reservoirs (leads) has recently been demonstrated in nanoscale electronic devices. Pumping occurs when two or more system parameters are varied in a cyclic manner and sufficiently…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Huan-Qiang Zhou , Sam Young Cho , Ross H. McKenzie

We introduce a systematic procedure based on optimal control theory to address the full counting statistics of particle transport in a stochastic system. Our approach enhances the performance of a Thouless pump in the non-adiabatic regime…

We study adiabatic pumping of electrons through quantum dots attached to ferromagnetic leads. Hereby we make use of a real-time diagrammatic technique in the adiabatic limit that takes into account strong Coulomb interaction in the dot. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Janine Splettstoesser , Michele Governale , Jürgen König

We investigate adiabatic pumping through a quantum dot with a single level in the mixed-valence and Kondo regimes using the slave-boson mean field approximation. The pumped current is driven by a gauge potential due to time-dependent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tomosuke Aono

A Thouless pump is a slowly driven one-dimensional band insulator which pumps charge at a quantised rate. Previous work showed that pumping persists in weakly disordered chains, and separately in clean chains at finite drive frequency. We…

Disordered Systems and Neural Networks · Physics 2025-06-19 Dominik Vuina , David M. Long , Philip J. D. Crowley , Anushya Chandran

This is a Comment to the paper by Sharma and Chamon in Phys. Rev. Lett. 87 (2001) 096401 (cond-mat/0011025). We show that the prediction of the universal charge pumped per cycle in the fast limit for attractive electron-electron interaction…

Strongly Correlated Electrons · Physics 2007-05-23 Dima E. Feldman , Yuval Gefen

The precessing magnetization of a magnetic islands coupled to a quantum spin Hall edge pumps charge along the edge. Conversely, a bias voltage applied to the edge makes the magnetization precess. We point out that this device realizes an…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Liliana Arrachea , Felix von Oppen

The adiabatic topological pumping is proposed by periodically modulating a semiconductor nanowire double-quantum-dot chain. We demonstrate that the quantized charge transport can be achieved by a nontrivial modulation of the quantum-dot…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Zhi-Hai Liu , H. Q. Xu

We propose a random matrix theory to describe the influence of a time-dependent external field on electron transport through open quantum dots. We describe the generation of the current by an oscillating field for the dot, connected to two…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Maxim G. Vavilov , V. Ambegaokar , Igor L. Aleiner

An adiabatic cycle around a degeneracy point in the parameter space of a one-dimensional band insulator is known to result in an integer valued noiseless particle transport in the thermodynamic limit. Recently, it was shown that in the case…

Quantum Gases · Physics 2021-12-22 K. J. M. Schouten , V. Cheianov

We discuss quantum Hall effects in a gapped insulator on a periodic two-dimensional lattice. We derive a universal relation among the the quantized Hall conductivity, and charge and flux densities per physical unit cell. This follows from…

Strongly Correlated Electrons · Physics 2020-02-04 Yuan-Ming Lu , Ying Ran , Masaki Oshikawa

We study charge transport for zero-temperature infinite-volume gapped lattice systems in two dimensions with short-range interactions. We show that the Hall conductance is locally computable and is the same for all systems which are in the…

Mathematical Physics · Physics 2020-11-04 Anton Kapustin , Nikita Sopenko

When parameters are varied periodically, charge can be pumped through a mesoscopic conductor without applied bias. Here, we consider the inverse effect in which a transport current drives a periodic variation of an adiabatic degree of…

Mesoscale and Nanoscale Physics · Physics 2013-08-14 Raul Bustos-Marun , Gil Refael , Felix von Oppen

Precise manipulation of individual charge carriers in nanoelectronic circuits underpins practical applications of their most basic quantum property --- the universality and invariance of the elementary charge. A charge pump generates a net…

Mesoscale and Nanoscale Physics · Physics 2015-09-24 Bernd Kaestner , Vyacheslavs Kashcheyevs

We present a field theoretic treatment of an adiabatic quantum motor. We explicitly discuss a motor termed Thouless motor which is based on a Thouless pump operating in reverse. When a sliding periodic potential is considered as the motor…

Mesoscale and Nanoscale Physics · Physics 2018-05-16 Anton Bruch , Silvia Viola Kusminskiy , Gil Refael , Felix von Oppen

Quantum transport in a one-dimensional (1D) quasiperiodic lattice with mobility edges is explored. We first investigate the adiabatic pumping between left and right edge modes by resorting to two edge-bulk-edge channels and demonstrate that…

Quantum Physics · Physics 2022-06-22 Yan Xing , Lu Qi , Xuedong Zhao , Zhe Lü , Shutian Liu , Shou Zhang , Hong-Fu Wang

A dc current can be pumped through an interacting system by periodically varying two independent parameters such as magnetic field and a gate potential. We present a formula for the adiabatic pumping current in general interacting systems,…

Strongly Correlated Electrons · Physics 2015-06-25 Eran Sela , Yuval Oreg

We study charge pumping when a combination of static potentials and potentials oscillating with a time period T is applied in a one-dimensional system of non-interacting electrons. We consider both an infinite system using the Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Abhiram Soori , Diptiman Sen

We derive a formula describing the adiabatically pumped charge through an interacting quantum dot within the scattering matrix and Green's function approach. We show that when the tunneling rates between the leads and the dot are varied…

Mesoscale and Nanoscale Physics · Physics 2009-06-24 F. Romeo , R. Citro

A Thouless pump can be regarded as a dynamical version of the integer quantum Hall effect. In a finite-size configuration, such topological pump displays edge modes that emerge dynamically from one bulk-band and dive into the opposite…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 Wenting Cheng , Emil Prodan , Camelia Prodan