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We show that an Anderson Hamiltonian describing a quantum dot connected to multiple leads is integrable. A general expression for the non-linear conductance is obtained by combining the Bethe ansatz exact solution with Landauer-B\"uttiker…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sam Young Cho , Huan-Qiang Zhou , Ross H. McKenzie

A pioneering experiment [E. Schuster, E. Buks, M. Heiblum, D. Mahalu, V. Umansky, and Hadas Shtrikman, Nature 385, 417 (1997)] reported the measurement of the transmission phase of an electron traversing a quantum dot and found the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sejoong Kim , Hyun-Woo Lee

Luttinger liquid theory describes one-dimensional electron systems in terms of non-interacting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance…

Mesoscale and Nanoscale Physics · Physics 2011-09-01 K. A. Matveev , A. V. Andreev

Within the framework of boundary conformal field theory, we evaluate the conductance of stable fixed points of junctions of two and three quantum wires with different Luttinger parameters. For two wires, the physical properties are governed…

Strongly Correlated Electrons · Physics 2015-03-20 Chang-Yu Hou , Armin Rahmani , Adrian E. Feiguin , Claudio Chamon

We use the numerical renormalization group method to investigate the spectral properties of a single-impurity Anderson model with a gap {\delta} across the Fermi level in the conduction-electron spectrum. For any finite {\delta} > 0, at…

Mesoscale and Nanoscale Physics · Physics 2010-06-22 Catalin Pascu Moca , Adrian Roman

When a 2D superconductor is subjected to a strong in-plane magnetic field, Zeeman polarization of the Fermi surface can give rise to inhomogeneous FFLO order with a spatially modulated gap. Further increase of the magnetic field eventually…

Strongly Correlated Electrons · Physics 2018-07-17 Dimitri Pimenov , Ipsita Mandal , Francesco Piazza , Matthias Punk

A large-N diagrammatic approach is used to study coupled quantum dots in a parallel geometry. We show that the Friedel sum rule (FSR) holds at lowest order in a 1/N expansion for this system, thereby suggesting that the ground state is a…

Mesoscale and Nanoscale Physics · Physics 2011-09-28 Manas Kulkarni , Robert Konik

Advances in fabrication and control of quantum dots allow the realization of metastructures that may exhibit novel electrical transport phenomena. Here, we investigate the electrical current passing through one such metastructure, a system…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Chen-Yen Lai , Massimiliano Di Ventra , Michael Scheibner , Chih-Chun Chien

n this article we study the Friedel phase of the electron transport in two different systems of quantum dots which exhibit bound states in the continuum (BIC). The Friedel phase jumps abruptly in the energies of the BICs, which is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Solis , M. L. Ladron de Guevara , P. A. Orellana

The fluctuation behavior of triple quantum dots (TQDs) has, so far, largely focused on current cumulants in the long-time limit via full counting statistics. Given that (TQDs) are non-trivial open quantum systems with many interesting…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Samuel L. Rudge , Daniel S. Kosov

In a local Fermi liquid (LFL), we show that there is a line of weak first order phase transitions between the ferromagnetic and paramagnetic phases due to purely quantum fluctuations. We predict that an instability towards superconductivity…

Strongly Correlated Electrons · Physics 2009-11-10 Jason Jackiewicz , Kevin S. Bedell

The transmission phase through a quantum dot with few electrons shows a complex, non-universal behavior. Here we combine configuration-interaction calculations ---treating rigorously Coulomb interaction--- and the Friedel sum rule to…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 Massimo Rontani

Energy spectra, electron densities, pair correlation functions and heat capacity of a quantum-dot lithium in zero external magnetic field (a system of three interacting two-dimensional electrons in a parabolic confinement potential) are…

Strongly Correlated Electrons · Physics 2009-11-07 S. A. Mikhailov

Tunneling conductance through two quantum dots, which are connected in series to left and right leads, is calculated by using the numerical renormalization group method. As the hopping between the dots increases from very small value, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Wataru Izumida , Osamu Sakai

The phase diagram of non-compact lattice QED in four dimensions with staggered fermions of charges 1 and $-1/2$ is investigated. The renormalized charges are determined and found to be in agreement with perturbation theory. This is an…

High Energy Physics - Lattice · Physics 2009-10-28 A. Ali Khan

We study the influence of many-body interactions on the transport properties in a two-site charge Kondo circuit recently implemented in a hybrid metal-semiconductor double-quantum dot device [W. Pouse {\it et al.}, Nat. Phys. {\bf 19}, 492…

Mesoscale and Nanoscale Physics · Physics 2023-11-21 A. V. Parafilo , V. M. Kovalev , I. G. Savenko

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 consider a quantum dot coupled to both superconducting and spin-polarized electrodes, and study the triad interplay of the Kondo effect, superconductivity, and ferromagnetism, any pair of which compete with and suppress each other. We…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Minchul Lee , Mahn-Soo Choi

We report on strong renormalization encountered in periodically driven interacting quantum dots in the non-adiabatic regime. Correlations between lead and dot electrons enhance or suppress the amplitude of driving depending on the sign of…

Strongly Correlated Electrons · Physics 2016-01-18 A. K. Eissing , V. Meden , D. M. Kennes

Thermodynamic and transport properties of a two dimensional circular quantum dot are studied theoretically at zero magnetic field. In the limit of a large confining potential, where the dot spectrum exhibits a shell structure, it is argued…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Paula Rojt , Yigal Meir , Assa Auerbach