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The interplay of confinement and Coulomb interactions in quantum dots can lead to strongly correlated phases differing qualitatively from the Fermi liquid behavior. We explore how the presence of magnetic impurities in quantum dots can…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 R. Oszwałdowski , P. Stano , A. G. Petukhov , Igor Žutić

The Generalized Kohn Theorem in arrays of parabolic quantum dots with Coulomb interaction between the dots is violated, if there are different dot species involved. We solve the Schr\"odinger equation for cubic lattices with two different…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Taut

We study a model for a quantum critical point in two spatial dimensions between a semimetallic phase, characterized by a stable quadratic Fermi node, and an ordered phase, in which the spectrum develops a band gap. The quantum critical…

Strongly Correlated Electrons · Physics 2020-09-02 Shouryya Ray , Matthias Vojta , Lukas Janssen

In this letter, we have considered an electron in a coupled quantum dot system interacting with a detector represented by a point contact. We present a dynamical model for wave function collapse in the strong coupling to the detector limit.…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 H. Cruz

A long one-dimensional wire with a finite density of strong random impurities is modelled as a chain of weakly coupled quantum dots. At low temperature T and applied voltage V its resistance is limited by "breaks": randomly occuring…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. M. Fogler , S. V. Malinin , T. Nattermann

The behavior of the conductivity and the density of states, as well as the phase relaxation time, of disordered itinerant electrons across a quantum ferromagnetic transition is discussed. It is shown that critical fluctuations lead to…

Statistical Mechanics · Physics 2017-08-23 D. Belitz , S. L. Sessions , T. R. Kirkpatrick , M. T. Mercaldo , R. Narayanan , Thomas Vojta

Quantum critical phenomena are widely studied across various materials families, from high temperature superconductors to magnetic insulators. They occur when a thermodynamic phase transition is suppressed to zero temperature as a function…

We present a detailed theoretical investigation of the effect of Coulomb interactions on electron transport through quantum dots and double barrier structures connected to a voltage source via an arbitrary linear impedance. Combining real…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Dmitri S. Golubev , Andrei D. Zaikin

At sufficiently low temperatures, interacting electron systems tend to develop orders. Exceptions are quantum critical point (QCP) and quantum spin liquid (QSL), where fluctuations prevent the highly entangled quantum matter to an ordered…

Strongly Correlated Electrons · Physics 2022-09-30 Yuan Da Liao , Xiao Yan Xu , Zi Yang Meng , Yang Qi

Building upon earlier work on the relation between the dimensionless interdot channel conductance g and the fractional Coulomb-blockade peak splitting f for two electrostatically equivalent dots, we calculate the leading correction that…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 John M. Golden , Bertrand I. Halperin

The problem of resonant transport of strongly interacting electrons through a one-dimensional single-level vibrating quantum dot is being considered. In this paper, we generalize the Komnik and Gogolin model [Phys. Rev. Lett., 90, 246403,…

Strongly Correlated Electrons · Physics 2012-11-13 Gleb A. Skorobagatko

Transport measurements at cryogenic temperatures through a few electron top gated quantum dot fabricated in a silicon/silicon-germanium heterostructure are reported. Variations in gate voltage induce a transition from an isolated dot toward…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Levente J. Klein , Donald E. Savage , Mark A. Eriksson

A quasi-one-dimensional quantum dot containing two interacting electrons is analyzed in search of signatures of chaos. The two-electron energy spectrum is obtained by diagonalization of the Hamiltonian including the exact Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. J. Fendrik , M. J. Sánchez , P. I. Tamborenea

Two strongly coupled quantum dots are theoretically and experimentally investigated. In the conductance measurements of a GaAs based low-dimensional system additional features to the Coulomb blockade have been detected at low temperatures.…

Mesoscale and Nanoscale Physics · Physics 2008-09-23 F. J. Kaiser , S. Kohler , P. Hänggi , M. Malecha , J. Ebbecke , A. Wixforth , H. W. Schumacher , B. Kästner , D. Reuter , A. D. Wieck

Electric and thermal transport properties of a $\nu=2/3$ fractional quantum Hall junction are analyzed. We investigate the evolution of the electric and thermal two-terminal conductances, $G$ and $G^Q$, with system size $L$ and temperature…

Strongly Correlated Electrons · Physics 2017-11-03 I. V. Protopopov , Yuval Gefen , A. D. Mirlin

We review the mechanisms of low-temperature electron transport across a quantum dot weakly coupled to two conducting leads. Conduction in this case is controlled by the interaction between electrons. At temperatures moderately lower than…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. I. Glazman , M. Pustilnik

We study symmetry breaking quantum phase transitions in topological insulators and superconductors where the single electron gap remains open in the bulk. Specifically, we consider spontaneous breaking of the symmetry that protects the…

Strongly Correlated Electrons · Physics 2012-06-08 Tarun Grover , Ashvin Vishwanath

We study a system of two tunnel-coupled quantum dots, with the first dot containing interacting electrons (described by the Universal Hamiltonian) not subject to spin-orbit coupling, whereas the second contains non-interacting electrons…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Oleksandr Zelyak , Ganpathy Murthy

Using electrostatic gates to control the electron positions, we present a new controlled-NOT gate based on quantum dots. The qubit states are chosen to be the spin states of an excess conductor electron in the quantum dot; and the main…

Quantum Physics · Physics 2007-05-23 Cyrus C. Y. Lin , Chopin Soo , Yin-Zhong Wu , Wei-Min Zhang

We study the statistics of the spacing between Coulomb blockade conductance peaks in quantum dots with large dimensionless conductance g. Our starting point is the ``universal Hamiltonian''--valid in the g->oo limit--which includes the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gonzalo Usaj , Harold U. Baranger
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