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An asymptotically exact solution is presented for the two-impurity Kondo model for a finite region of the parameter space surrounding the critical point. This region is located in the most interesting intermediate regime where RKKY…

Condensed Matter · Physics 2009-10-22 Junwu Gan

Nonequilibrium properties of correlated quantum matter are being intensively investigated because of the rich interplay between external driving and the many-body correlations. Of particular interest is the nonequilibrium behavior near a…

Strongly Correlated Electrons · Physics 2021-02-17 G. Zhang , C. -H. Chung , C. T. Ke , C. -Y. Lin , H. Mebrahtu , A. I. Smirnov , G. Finkelstein , H. U. Baranger

A quantum dot proposal for the implementation of topological quantum computation is presented. The coupling of the electron charge to an external magnetic field via the Aharonov-Bohm effect, combined with the control dynamics of a double…

Quantum Physics · Physics 2007-05-23 Roberta Rodriquez , Jiannis K. Pachos

The quantum criticality of the two-lead two-channel pseudogap Anderson model is studied. Based on the non-crossing approximation, we calculate both the linear and nonlinear conductance of the model at finite temperatures with a voltage bias…

Strongly Correlated Electrons · Physics 2016-05-04 Tsan-Pei Wu , Chung-Hou Chung

We study finite-frequency transport properties of the double-dot system recently constructed to observe the two-channel Kondo effect [R. M. Potok et al., Nature 446, 167 (2007)]. We derive an analytical expression for the…

Mesoscale and Nanoscale Physics · Physics 2007-11-27 A. I. Toth , L. Borda , J. von Delft , G. Zarand

Two different scenarios of the quantum critical point (QCP), a zero-temperature instability of the Landau state, related to the divergence of the effective mass, are investigated. Flaws of the standard scenario of the QCP, where this…

Strongly Correlated Electrons · Physics 2009-11-13 V. A. Khodel

Analytical and continuous-time quantum Monte Carlo methods are used to investigate the possibility of occupation switching and quantum criticality in a model of two quantum impurities coupled to two leads. A general discussion of potential…

Strongly Correlated Electrons · Physics 2010-01-05 Xin Wang , Andrew J. Millis

Transport through two quantum dots laterally embedded in Aharonov-Bohm interferometry with infinite intradot and arbitrary interdot Coulomb repulsion is analyzed in the weak coupling and Coulomb blockade regime. By employing the modified…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jing Ma , Bing Dong , X. L. Lei

We construct a two-dimensional lattice model of fermions coupled to Ising ferromagnetic critical fluctuations. Using extensive sign-problem-free quantum Monte Carlo simulations, we show that the model realizes a continuous itinerant quantum…

Strongly Correlated Electrons · Physics 2017-09-29 Xiao Yan Xu , Kai Sun , Yoni Schattner , Erez Berg , Zi Yang Meng

We investigate the nonequilibrium transport properties of a double quantum dot system connected in parallel to two leads, including intradot electron-electron interaction. In the absence of interactions the system supports a bound state in…

Mesoscale and Nanoscale Physics · Physics 2016-07-04 Miguel A. Sierra , M. Saiz-Bretin , F. Dominguez-Adame , David Sanchez

Transport measurements on the cuprates suggest the presence of a quantum critical point hiding underneath the superconducting dome near optimal hole doping. We provide numerical evidence in support of this scenario via a dynamical cluster…

Strongly Correlated Electrons · Physics 2015-05-19 D. Galanakis , E. Khatami , K. Mikelsons , A. Macridin , J. Moreno , D. A. Browne , M. Jarrell

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 a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

Magnetic fluctuations and electrons couple in intriguing ways in the vicinity of zero temperature phase transitions - quantum critical points - in conducting materials. Quantum criticality is implicated in non-Fermi liquid behavior of…

Strongly Correlated Electrons · Physics 2014-12-05 Lucile Savary , Eun-Gook Moon , Leon Balents

A microscopic analysis of the superconducting quantum critical point realized via a pair-breaking quantum phase transition is presented. Finite temperature crossovers are derived for the electrical conductivity, which is a key probe of…

Superconductivity · Physics 2007-09-19 N. Shah , A. V. Lopatin

An ultrasmall quantum dot coupled to a lead and to a quantum box (a large quantum dot) is investigated. Tuning the tunneling amplitudes to the lead and box, we find a line of unstable non-Fermi-liquid fixed points as function of the gate…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Frithjof B. Anders , Eran Lebanon , Avraham Schiller

We investigate theoretically the quantum phase transition (QPT) between the one-channel Kondo (1CK) and two-channel Kondo (2CK) fixed points in a quantum dot coupled to helical edge states of interacting 2D topological insulators (2DTI)…

Strongly Correlated Electrons · Physics 2015-06-03 Chung-Hou Chung , Salman Silotri

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

We investigate the emergence of quantum critical points near a two-channel Kondo phase by evaluating an $f$-electron entropy of a seven-orbital impurity Anderson model hybridized with three ($\Gamma_7$ and $\Gamma_8$) conduction bands with…

Strongly Correlated Electrons · Physics 2020-10-28 Takashi Hotta

This article briefly reviews three topics related to the quantum critical behavior of certain heavy-fermion systems. First, we summarize an extended dynamical mean-field theory for the Kondo lattice, which treats on an equal footing the…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , J. Lleweilun Smith , Kevin Ingersent