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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

In order to investigate the effects of interference and interaction in adiabatic pumping, we consider an Aharonov-Bohm (AB) interferometer with a quantum dot embedded either in one or in both arms. We employ a real-time formalism and we…

Mesoscale and Nanoscale Physics · Physics 2010-02-02 Bastian Hiltscher , Michele Governale , Jürgen König

We propose a transport probe scheme to detect the nonadiabatic transition caused by Majornana moving, which is relevant to the braiding operations in topological quantum computation. The scheme is largely based on a time dependent…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Luting Xu , Xin-Qi Li

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

Within the scattering approach, we develop a model for adiabatic quantum pumping in hybrid normal/superconductor systems where several superconducting leads are present. This is exploited to study Andreev-interference effects on…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Fabio Taddei , Michele Governale , Rosario Fazio

We investigate the parametric electron pumping of a double barrier structure in the presence of a superconducting lead. The parametric pumping is facilitated by cyclic variation of the barrier heights $x_1$ and $x_2$ of the barriers. In the…

Condensed Matter · Physics 2009-11-07 Jian Wang , Baigeng Wang

We give a gauge description of the adiabatic charge pumping in closed systems, both in Abelian and non-Abelian processes, and by means of asymptotic Wilson loops in a suitable parameter manifold. Our geometric formulation provides new…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 R. Leone

By calculating the differential tunneling conductance spectra from the two ends of a Majorana nanowire with a quantum dot embedded at one end, we establish that a careful examination of the nonlocal correlations of the zero bias conductance…

Superconductivity · Physics 2019-07-08 Yi-Hua Lai , Jay D. Sau , Sankar Das Sarma

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

We introduce a mathematical setup for charge transport in quantum pump connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian describing the system, in the adiabatic limit, the current…

Mathematical Physics · Physics 2007-05-23 J. E. Avron , A. Elgart , G. M. Graf , L. Sadun , K. Schnee

Majorana fermions act as their own antiparticle, and they have long been thought to be confined to the realm of pure theory. However, interest in them has recently resurfaced, as it was realized through the work of Kitaev that some…

Mesoscale and Nanoscale Physics · Physics 2021-08-16 T. C. Bartolo , J. S. Smith , B. Muralidharan , C. Müller , T. M. Stace , J. H. Cole

The ability to pump quantised amounts of charge is one of the hallmarks of topological materials. An archetypical example is Laughlin's gauge argument for transporting an integer number of electrons between the edges of a quantum Hall…

Strongly Correlated Electrons · Physics 2020-05-13 Mariya A. Lizunova , Florian Schreck , Cristiane Morais Smith , Jasper van Wezel

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 examine adiabatic quantum pumping generated by an oscillating scatterer embedded in a one-dimensional ballistic ring and compare it with pumping caused by the same scatterer connected to external reservoirs. The pumped current for an…

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

Trivial Andreev bound states arising from chemical potential variations could lead to zero-bias tunneling conductance peaks at finite magnetic fields in class $D$ nanowires, precisely mimicking the predicted zero-bias conductance peaks…

Mesoscale and Nanoscale Physics · Physics 2018-06-22 Chun-Xiao Liu , Jay D. Sau , S. Das Sarma

Quantized charge pumping is a robust adiabatic phenomenon uniquely existing in topologically nontrivial systems. Such topological pumping not only brings fundamental insights to the evolution of states under the protection of topology but…

Applied Physics · Physics 2021-02-10 Ze-Guo Chen , Weiyuan Tang , Ruo-Yang Zhang , Guancong Ma

Non-adiabatic charge pumping through a single-level quantum dot with periodically modulated parameters is studied theoretically. By means of a quantum-master-equation approach the full counting statistics of the system is obtained. We find…

Mesoscale and Nanoscale Physics · Physics 2016-04-22 Alexander Croy , Ulf Saalmann

We examine the heat and charge transport of a driven topological superconductor. Our particular system of interest consists of a Y-junction of topological superconducting wires, hosting non-Abelian Majorana zero modes at their edges. The…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Thomas Simons , Dganit Meidan , Alessandro Romito

We show theoretically that in the generic finite chemical potential situation, the clean superconducting spin-orbit-coupled nanowire has two distinct nontopological regimes as a function of Zeeman splitting (below the topological quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-31 Yingyi Huang , Haining Pan , Chun-Xiao Liu , Jay D. Sau , Tudor D. Stanescu , S. Das Sarma

We study DC charge and spin transport through a weakly coupled quantum dot, driven by a non-adiabatic periodic change of system parameters. We generalize the model of Tien and Gordon to simultaneously oscillating voltages and tunnel…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Matthias Braun , Guido Burkard