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The many-body state of carriers confined in a quantum dot is controlled by the balance between their kinetic energy and their Coulomb correlation. In coupled quantum dots, both can be tuned by varying the inter-dot tunneling and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Massimo Rontani , Filippo Troiani , Ulrich Hohenester , Elisa Molinari

Time-dependent transport through two capacitively coupled quantum dots is studied in the framework of the generalized master equation. The Coulomb interaction is included within the exact diagonalization method. Each dot is connected to two…

Mesoscale and Nanoscale Physics · Physics 2010-05-24 Valeriu Moldoveanu , Andrei Manolescu , Vidar Gudmundsson

We study equilibrium and non-equilibrium properties of a two-level quantum dot close to the singlet-triplet transition. We treat the on-site Coulomb interaction and Hund's rule coupling perturbatively within the Keldysh formalism. We…

Strongly Correlated Electrons · Physics 2010-07-07 B. Horvath , B. Lazarovits , G. Zarand

We study a system consisting of a Luttinger liquid coupled to a quantum dot on the boundary. The Luttinger liquid is expressed in terms of fermions interacting via density-density coupling and the dot is modeled as an interacting resonant…

Strongly Correlated Electrons · Physics 2020-06-09 Colin Rylands , Natan Andrei

The quantum interference effect among coupled identical quantum dots is studied in the present paper in the limit of strong intra-dot Coulomb interaction. When the average electron number in each dot is a fraction of an integer, quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xi Dai , T. K. Ng

We study the steady-state current in a minimal model for a quantum dot dominated by charge fluctuations and analytically describe the time evolution into this state. The current is driven by a finite bias voltage V across the dot, and two…

Mesoscale and Nanoscale Physics · Physics 2010-07-08 C. Karrasch , S. Andergassen , M. Pletyukhov , D. Schuricht , L. Borda , V. Meden , H. Schoeller

We present a theoretical study of the excitations on the edge of a two-dimensional electron system in a perpendicular magnetic field in terms of a contour dynamics formalism. In particular, we focus on edge excitations in the quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. Wexler , Alan T. Dorsey

We consider the excitation of single-electron wave packets by means of a time dependent voltage applied to the ballistic edge channels of the integer quantum Hall effect at filling factor $\nu=2$. Due to electron-electron interactions,…

Mesoscale and Nanoscale Physics · Physics 2018-07-23 Matteo Acciai , Matteo Carrega , Jérôme Rech , Thibaut Jonckheere , Thierry Martin , Maura Sassetti

We study an interacting single-level quantum dot weakly coupled to three electrodes. When two electrodes are biased by voltages with opposite polarities, while keeping the third lead (the stem) grounded, the current through the stem is a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Robert Andrzej Zak , Karsten Flensberg

Using recently developed tools from space-adiabatic perturbation theory, in particular the construction of a non-equilibrium almost stationary state, we give a new proof that the Kubo formula for the Hall conductivity remains valid beyond…

Mathematical Physics · Physics 2023-02-06 Giovanna Marcelli , Domenico Monaco

We consider the behaviour of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low energy, large system limit. Using the close links between quantum Hall wavefunctions and conformal field theories we construct…

Strongly Correlated Electrons · Physics 2018-11-07 Richard Fern , Roberto Bondesan , Steven H. Simon

Motivated by surprises in recent experimental findings, we study transport in a model of a quantum Hall edge system with a gate-voltage controlled constriction. A finite backscattered current at finite edge-bias is explained from a…

Mesoscale and Nanoscale Physics · Physics 2008-02-04 Siddhartha Lal

We study the electronic current through a quantum dot coupled to two superconducting leads which is driven by either a voltage $V$ or temperature $\Delta T$ bias. Finite biases beyond the linear response regime are considered. The local…

Strongly Correlated Electrons · Physics 2014-06-12 Jan F. Rentrop , Severin G. Jakobs , Volker Meden

We present novel models of quantum gates based on coupled quantum dots in which a qubit is regarded as the superposition of ground states in each dot. Coherent control on the qubit is performed by both a frequency and a polarization of a…

Quantum Physics · Physics 2009-11-06 J. H. Oh , D. Ahn , S. W. Hwang

We study the minimal excitations of fractional quantum Hall edges, extending the notion of levitons to interacting systems. Using both perturbative and exact calculations, we show that they arise in response to a Lorentzian potential with…

Mesoscale and Nanoscale Physics · Physics 2017-02-24 J. Rech , D. Ferraro , T. Jonckheere , L. Vannucci , M. Sassetti , T. Martin

We use the non-equilibrium bosonization technique to investigate effects of the Coulomb interaction on quantum Hall edge states at filing factor nu=2, partitioned by a quantum point contact (QPC). We find, that due to the integrability of…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivan P. Levkivskyi , Eugene V. Sukhorukov

We report a study of spin dependent transport in a system composed of a quantum dot coupled to a normal metal lead and a ferromagnetic lead (NM-QD-FM). We use the master equation approach to calculate the spin-resolved currents in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. M. Souza , J. C. Egues , A. P. Jauho

We theoretically investigate the ground-state properties of a quantum dot defined on the surface of a strong three-dimensional time-reversal invariant topological insulator. Confinement is realized by ferromagnetic barriers and Coulomb…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Christophe De Beule , Niccolo T. Ziani , Mohammad Zarenia , Bart Partoens , Bjoern Trauzettel

We address the experimentally relevant situation, where a non-equilibrium state is created at the edge of a quantum Hall system by injecting charge current into a chiral edge state with the help of a quantum point contact, quantum dots, or…

Mesoscale and Nanoscale Physics · Physics 2025-01-17 Edvin G. Idrisov , Ivan P. Levkivskyi , Eugene V. Sukhorukov

Laughlin's thought experiment of quantized charge pumping is central to understanding the integer quantum Hall effect (IQHE) and the topological origin of its conductance quantization. Its direct experimental observation, however, has been…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Bjarke S. Jessen , Maëlle Kapfer , Yuhao Zhao , Kenji Watanabe , Takashi Taniguchi , Cory R. Dean , Oded Zilberberg