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In this work, a quantum dot couples to two helical edge states of a 2D topological insulator through weak tunnelings is studied. We show that if the electron interactions on the edge states are repulsive, with Luttinger liquid parameter $ K…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 K. T. Law , C. Y. Seng , Patrick A. Lee , T. K. Ng

The linear and nonlinear transport properties of the single-electron transistor at the degeneracy point are investigated for the case of weak single-mode tunnel junctions. Two opposing scenarios are considered, distinguished by whether or…

Strongly Correlated Electrons · Physics 2007-05-23 Amnon Buxboim , Avraham Schiller

We demonstrate the equivalence between two distinct Luttinger liquid impurity problems. The first concerns a one-dimensional topological superconductor coupled at one end to the ends of two single channel Luttinger liquids. The second…

Strongly Correlated Electrons · Physics 2020-02-25 C. L. Kane , D. Giuliano , I. Affleck

We study triangular clusters of three spin-1/2 Kondo or Anderson impurities that are coupled to two conduction leads. In the case of Kondo impurities, the model takes the form of an antiferromagnetic Heisenberg ring with Kondo-like exchange…

Mesoscale and Nanoscale Physics · Physics 2009-03-06 Rok Zitko Janez Bonca

Spin-dependent electronic transport through a quantum dot has been analyzed theoretically in the cotunneling regime by means of the second-order perturbation theory. The system is described by the impurity Anderson Hamiltonian with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 I. Weymann , J. Barnas

Resonant tunneling in an open mesoscopic quantum dot is proposed as a vehicle to realize a tunable Fermi-edge resonance with variable coupling strength. We solve the x-ray edge problem for a generic nonseparable scatterer and apply it to…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 D. A. Abanin , L. S. Levitov

We prove an exact duality between the side-coupled and embedded geometries of a single level quantum dot attached to a quantum wire in a Luttinger liquid phase by a tunneling term and interactions. This is valid even in the presence of a…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Moshe Goldstein , Richard Berkovits

We study the Coulomb blockade of tunneling through a double quantum dot. The temperature dependence of the linear conductance is strongly affected by the inter-dot tunneling. As the tunneling grows, a crossover from temperature-independent…

Condensed Matter · Physics 2009-10-28 K. A. Matveev , L. I. Glazman , H. U. Baranger

We consider a quantum dot with ${\cal K}{\geq} 2$ orbital levels occupied by two electrons connected to two electric terminals. The generic model is given by a multi-level Anderson Hamiltonian. The weak-coupling theory at the particle-hole…

Mesoscale and Nanoscale Physics · Physics 2018-05-04 D. B. Karki , Christophe Mora , Jan von Delft , Mikhail N. Kiselev

It is shown that the voltage dependence of the tunneling conductance between two lightly doped semiconductors, which are separated by an large area tunneling barrier, can reveal the high energy part of the Coulomb gap if the barrier is…

Condensed Matter · Physics 2015-06-24 A. I. Larkin , B. I. Shklovskii

The temperature dependence of the conductance of a quantum point contact has been measured. The conductance as a function of the Fermi energy shows temperature-independent fixed points, located at roughly multiple integers of $e^{2}/h$.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Senz , T. Heinzel , T. Ihn , S. Lindemann , R. Held , K. Ensslin , W. Wegscheider , M. Bichler

We study systems made of periodic arrays of one dimensional quantum wires, coupled by Coulomb interaction. Using bosonization an interacting metallic fixed point is obtained, which is shown to be a higher dimensional analogue of the…

Strongly Correlated Electrons · Physics 2017-08-22 Shouvik Sur , Kun Yang

We propose and study the charge transport through single and double quantum point contacts setup between helical Majorana modes and an interacting helical Luttinger liquid. We show that the differential conductance decreases for stronger…

Strongly Correlated Electrons · Physics 2015-06-17 Sung-Po Chao , Thomas L. Schmidt , Chung-Hou Chung

The Coulomb blockade in an open quantum dot connected to a bulk lead by a single mode point contact is studied numerically using the path-integral Monte Carlo method. The Coulomb oscillation of the average charge and capacitance of the dot…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yuji Hamamoto , Takeo Kato

As voltage decreases d.c. condctivity of a Tomonaga-Luttinger liquid wire collapses to a small value determined by the length of the wire and its contacts with the leads. In condition that voltage drop (V) mostly occurs across a tunnel…

Strongly Correlated Electrons · Physics 2008-02-03 V. V. Ponomarenko

The spinless resonant level model is studied when it is coupled by hopping to one of the arbitrary number of conduction electron channels. The Coulomb interaction acts between the electron on the impurity and in the different channels. In…

Strongly Correlated Electrons · Physics 2007-05-23 Laszlo Borda , Karoly Vladar , Alfred Zawadowski

We study correlated two-level quantum dots, coupled in effective 1-channel fashion to metallic leads; with electron interactions including on-level and inter-level Coulomb repulsions, as well as the inter-orbital Hund's rule exchange…

Strongly Correlated Electrons · Physics 2009-10-05 David E. Logan , Christopher J. Wright , Martin R. Galpin

Coulomb blockade phenomena and quantum fluctuations are studied in mesoscopic metallic tunnel junctions with high charging energies. If the resistance of the barriers is large compared to the quantum resistance, transport can be described…

Condensed Matter · Physics 2009-10-22 Herbert Schoeller , Gerd Schoen

The generating function for the cumulants of charge current distribution is calculated for two generalised Majorana resonant level models: the Kondo dot at the Toulouse point and the resonant level embedded in a Luttinger liquid with the…

Strongly Correlated Electrons · Physics 2007-05-23 A. Komnik , A. O. Gogolin

We study electron transport through a closed Aharonov-Bohm interferometer containing two single-level quantum dots. The quantum-dot levels are coupled to each other indirectly via the leads. We find that this coupling yields signatures of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Björn Kubala , Jürgen König