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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

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

We present exact results on the non-equilibrium current fluctuations for 2 quantum dots in series throughout a crossover from non-Fermi liquid to Fermi liquid behavior described by the 2 impurity Kondo model. The result corresponds to…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Eran Sela , Ian Affleck

We consider charge fluctuations in a quantum dot coupled to an interacting one-dimensional electron liquid. We find the behavior of this system to be similar to the multichannel pseudogap Kondo model. By tuning the coupling between the dot…

Strongly Correlated Electrons · Physics 2007-05-23 Eugene H. Kim , Yong Baek Kim , C. Kallin

Double quantum dots can provide an experimental realization of the 2 impurity Kondo model which exhibits a non-Fermi liquid quantum critical point (QCP) at a special value of its parameters. We generalize our recent study of double quantum…

Mesoscale and Nanoscale Physics · Physics 2010-01-25 Eran Sela , Ian Affleck

Since the experimental realization of Kondo physics in quantum dots, its far-from-equilibrium properties have generated considerable theoretical interest. This is due to the interesting interplay of non-equilibrium physics and correlation…

Strongly Correlated Electrons · Physics 2015-05-18 V. Koerting , P. Fritsch , S. Kehrein

We present a theoretical study based on the Anderson model of the transport properties of a Kondo impurity (atom or quantum dot) connected to ferromagnetic leads, which can sustain a non-equilibrium spin current. We analyze the case where…

Mesoscale and Nanoscale Physics · Physics 2013-10-08 Jong Soo Lim , Rosa Lopez , Laurent Limot , Pascal Simon

When the ground state of a localized ion is a non-Kramers doublet, such localized ions may carry multipolar moments. For example, Pr$^{3+}$ ions in a cubic environment would possess quadrupolar and octupolar, but no magnetic dipole,…

Strongly Correlated Electrons · Physics 2020-10-30 Adarsh S. Patri , Yong Baek Kim

Tunnelling impurities in metals have been known for some time to have the potential for exhibiting Kondo-like physics. However previous models based on an impurity hopping between two equivalent positions have run into trouble due to the…

Condensed Matter · Physics 2009-10-28 Aris L. Moustakas , Daniel S. Fisher

We derive a consistent 2-loop scaling picture for a Kondo dot in both equilibrium and non-equilibrium situations using the flow equation method. Our analysis incorporates the important decoherence effects from both thermal and…

Strongly Correlated Electrons · Physics 2013-05-29 P. Fritsch , S. Kehrein

We study the physics of electron tunneling between multiple quantum dots and the edge of a quantum Hall state. Our results generalize earlier work [G. A. Fiete, W. Bishara, C. Nayak, Phys. Rev. Lett. 101, 176801 (2008)] in which it was…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Stuart A. Sevier , Gregory A. Fiete

The eigenstates of an isolated nanostructure may get mixed by the coupling to external leads. This effect is the stronger, the smaller the level splitting on the dot and the larger the broadening induced by the coupling to the leads. We…

Strongly Correlated Electrons · Physics 2008-04-22 V. Koerting , J. Paaske , P. Wölfle

We calculate the nonequilibrium conductance of a system of two capacitively coupled quantum dots, each one connected to its own pair of conducting leads. The system has been used recently to perform pseudospin spectroscopy by controlling…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 L. Tosi , P. Roura-Bas , A. A. Aligia

We theoretically investigate the non-equilibrium quantum phase transition in a generic setup: the pseudogap Kondo model where a quantum dot couples to two-left (L) and right (R)-voltage-biased fermionic leads with power-law density of…

Strongly Correlated Electrons · Physics 2015-05-28 Chung-Hou Chung , Kenneth Yi-Jie Zhang

The linear and nonlinear transport through a multi-level lateral quantum dot connected to two leads is investigated using a generalized finite-$U$ slave-boson mean field approach. For a two-level quantum dot, our calculation demonstrates a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Bing Dong , X. L. Lei

Recently it was shown that the multipolar Kondo problem, wherein a quantum impurity carrying higher-rank multipolar moments interacts with conduction electrons, leads to novel non-Fermi liquid states. Because of the multipolar character of…

Strongly Correlated Electrons · Physics 2021-05-25 Daniel J. Schultz , Adarsh S. Patri , Yong Baek Kim

It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is…

Condensed Matter · Physics 2009-10-28 Hiroaki Kusunose , Kazumasa Miyake

We consider a ring of three quantum dots mutually coupled by antiferromagnetic exchange interactions, and tunnel-coupled to two metallic leads: the simplest device in which the consequences of local frustration arising from internal degrees…

Strongly Correlated Electrons · Physics 2010-03-10 Andrew K. Mitchell , David E. Logan

We consider a double dot system of equivalent, capacitively coupled semiconducting quantum dots, each coupled to its own lead, in a regime where there are two electrons on the double dot. Employing the numerical renormalization group, we…

Strongly Correlated Electrons · Physics 2007-05-23 Martin R. Galpin , David E. Logan , H. R. Krishnamurthy

Non-equilibrium Green's function technique has been used to calculate spin-dependent electronic transport through a quantum dot in the Kondo regime. The dot is described by the Anderson Hamiltonian and is coupled either symmetrically or…

Other Condensed Matter · Physics 2009-11-11 R. Swirkowicz , M. Wilczynski , J. Barnas