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We discuss the effect of quantum interference on transport through a quantum dot system. We introduce an indirect coherent coupling parameter alpha, which provides constructive/destructive interference in the transport current depending on…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Tokura , H. Nakano , T. Kubo

We derive, from first principles, the complete Luttinger liquid theory of abelian quantum Hall edge states. This theory includes the effects of disorder and Coulomb interactions as well as the coupling to external electromagnetic fields. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. Skoric , A. M. M. Pruisken

Quantum Hall edge channels can be combined with metallic regions to fractionalize electrons and form correlated impurity models. We study a minimal device, that has been experimentally achieved quite recently, with two floating islands…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Deepak B. Karki , Edouard Boulat , Christophe Mora

An effective Chern-Simons theory for the Abelian quantum Hall states with edges is proposed to study the edge and bulk properties in a unified fashion. We impose a condition that the currents do not flow outside the sample. With this…

Condensed Matter · Physics 2009-10-28 Naoto Nagaosa , Mahito Kohmoto

The dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect, is considered. Using perturbation theory, we first show that this rate has an anomalous dependence on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. K. T Nguyen , A. Crepieux , T. Jonckheere , A. V. Nguyen , Y. Levinson , T. Martin

Electrical and thermal conductances of a quantum Hall bar reflect the topological structure of the incompressible bulk phase. Here we show that noise of electrical current carried through the edge evidences the interplay between these two…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Jinhong Park , Alexander D. Mirlin , Bernd Rosenow , Yuval Gefen

We present non-perturbative solutions for multi-level quantum dot structures coupled to interacting one-dimensional electrodes out of equilibrium. At a special correlation strength the Hamiltonian can be mapped to the Kondo problem which…

Strongly Correlated Electrons · Physics 2009-11-10 A. Komnik , A. O. Gogolin

During the last years there has been an increasing excitement in nanomotors and particularly in current-driven nanomotors. Despite the broad variety of stimulating results found, the regime of strong Coulomb interactions has not been fully…

Mesoscale and Nanoscale Physics · Physics 2017-10-24 Hernan L. Calvo , Federico D. Ribetto , Raúl A. Bustos-Marún

We theoretically investigate the non-equilibrium current through a quantum dot coupled to one- dimensional electron leads, utilizing a controlled frequency-dependent renormalization group (RG) approach. We compute the non-equilibrium…

Strongly Correlated Electrons · Physics 2015-05-18 C. -H. Chung , K. V. P. Latha , K. Le Hur , M. Vojta , P. Woelfle

We present a set of concrete and realistic ideas for the implementation of a small-scale quantum computer using electron spins in lateral GaAs/AlGaAs quantum dots. Initialization is based on leads in the quantum Hall regime with tunable…

Quantum point contact devices are indispensable tools for probing the edge structure of the fractional quantum Hall (FQH) states. Recent observations of quantized conductance plateaus accompanied by shot noise in such devices, as well as…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Christian Spånslätt , Jinhong Park , Yuval Gefen , Alexander D. Mirlin

We study the tunneling current between two counterpropagating edge modes described by chiral Luttinger liquids when the tunneling takes place along an extended region. We compute this current perturbatively by using a tunnel Hamiltonian.…

Other Condensed Matter · Physics 2009-11-11 M. Aranzana , N. Regnault , Th. Jolicoeur

We analyzed the effects of a spin voltage as well as a conventionally applied voltage in a QD system with a different number of quantum states in the dot region in presence of Coulombic interaction between the quantum dot and two leads. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 O. V. Ogloblya , G. M. Kuznetsova

We study the current through a quantum wire side coupled to a quantum dot, and compare it with the case of an embedded dot. The system is modeled by the Anderson Hamiltonian for a linear chain, with one atom either coupled to (side-dot) or…

Strongly Correlated Electrons · Physics 2009-11-07 A. A. Aligia , C. R. Proetto

The gapless edge modes of the Quantum Spin Hall insulator form a helical liquid in which the direction of motion along the edge is determined by the spin orientation of the electrons. In order to probe the Luttinger liquid physics of these…

Mesoscale and Nanoscale Physics · Physics 2014-04-14 Romain Vasseur , Joel E. Moore

Motivated by recent experimental findings, we study transport in a simple phenomenological model of a quantum Hall edge system with a gate-voltage controlled constriction lowering the local filling factor. The current backscattered from the…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Siddhartha Lal

A systematic truncation of the many-body Hilbert space is implemented to study how electrons in a quantum dot attached to conducting leads respond to time-dependent biases. The method, which we call the dynamical 1/N approach, is first…

Strongly Correlated Electrons · Physics 2009-11-10 J. Merino , J. B. Marston

We studied a vertical ``quantum dot molecule'', where one of the dots is occupied with electrons and the other with holes. We find that different phases occur in the ground state, depending on the carrier density and the interdot distance.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen , M. Koskinen , M. Manninen , S. M. Reimann

We study theoretically edge transport of a fractional quantum Hall liquid, in the presence of a quantum dot inside the Hall bar with well controlled electron density and Landau level filling factor \nu, and show that such transport studies…

Strongly Correlated Electrons · Physics 2013-04-19 Hsin-Hua Lai , Kun Yang

Cavity quantum electrodynamics allows one to study the interaction between light and matter at the most elementary level. The methods developed in this field have taught us how to probe and manipulate individual quantum systems like atoms…

Mesoscale and Nanoscale Physics · Physics 2016-10-10 J. J. Viennot , M. R. Delbecq , L. E. Bruhat , M. C. Dartiailh , M. Desjardins , M. Baillergeau , A. Cottet , T. Kontos