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In the beginning of the 1970's, Wilson developed the concept of a fully non-perturbative renormalization group transformation. Applied to the Kondo problem, this numerical renormalization group method (NRG) gave for the first time the full…

Strongly Correlated Electrons · Physics 2008-04-22 Ralf Bulla , Theo Costi , Thomas Pruschke

We consider spin and orbital Kondo effect in a parallel arrangement of two strongly electrostatically coupled quantum dots. Increasing the exchange of electrons between the dots through the attached leads induces a smooth crossover between…

Mesoscale and Nanoscale Physics · Physics 2007-10-24 A. L. Chudnovskiy , Frank Hellmuth , V. Kagalovsky

We examine the properties of a dc-biased quantum dot in the Coulomb blockade regime. For voltages V large compared to the Kondo temperature T_K, the physics is governed by the scales V and gamma, where gamma ~ V/ln^2(V/T_K) is the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Rosch , J. Kroha , P. Wölfle

We analyze the nonequilibrium Kondo model at finite voltage and temperature by using a new formulation of the real-time renormalization group method with the Laplace variable as the flow parameter. We evaluate the energy-dependent spin…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 Mikhail Pletyukhov , Herbert Schoeller

The symmetrized density matrix renormalization group approach is applied within the extended Hubbard-Peierls model (with parameters U/t, V/t, and bond alternation \delta) to study the ordering of the lowest one-photon (1^{1}B^{-}_u) and…

Condensed Matter · Physics 2009-10-30 Z. Shuai , J. L. Bredas , S. K. Pati , S. Ramasesha

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

Motivated by recent experiments, we consider a single-electron transistor in the Kondo regime which is coupled to three leads in the presence of large bias voltages. Such a steady-state non-equilibrium system is to a large extent governed…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 N. Shah , A. Rosch

Kondo correlation in a spin polarized quantum dot (QD) results from the dynamical formation of a spin singlet between the dot's net spin and a Kondo cloud of electrons in the leads, leading to enhanced coherent transport through the QD. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Avinun-Kalish , M. Heiblum , A. Silva , D. Mahalu , V. Umansky

A renormalization-group scheme is developed for the 3-dimensional O($2N$)-symmetric Ginzburg-Landau-Wilson model, which is consistent with the use of a 1/N expansion as a systematic method of approximation. It is motivated by an application…

Statistical Mechanics · Physics 2009-11-07 Ian D. Lawrie , Dominic J. Lee

We consider the capacitive interaction between a charge qubit and a sensor quantum dot(SQD) perturbatively to the second order of their coupling constant at zero temperature by utilizing the method of non-equilibrium Green's functions…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 S. Mojtaba Tabatabaei

We theoretically study an emergent SU(2) symmetry which is suggested by recent magneto-transport measurements, carried out near two electrons filling of a carbon nanotube quantum dot. It emerges in the case where the spin and orbital Zeeman…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Yoshimichi Teratani , Rui Sakano , Ryo Fujiwara , Tokuro Hata , Tomonori Arakawa , Meydi Ferrier , Kensuke Kobayashi , Akira Oguri

We investigate the critical behavior that d-dimensional systems with short-range forces and a n-component order parameter exhibit at Lifshitz points whose wave-vector instability occurs in a m-dimensional isotropic subspace of ${\mathbb…

Statistical Mechanics · Physics 2009-11-07 M. Shpot , H. W. Diehl

The crossover from fluctuating atomic constituents to a collective state as one lowers temperature or energy is at the heart of the dynamical mean-field theory description of the solid state. We demonstrate that the numerical…

Strongly Correlated Electrons · Physics 2020-01-08 Fabian B. Kugler , Manuel Zingl , Hugo U. R. Strand , Seung-Sup B. Lee , Jan von Delft , Antoine Georges

Using the framework of the density-matrix renormalization group (DMRG), we study a quantum dot coupled to a superconducting nanowire with strong Rashba spin-orbit coupling. Regarding the singlet-to-doublet "0-$\pi$" transition that takes…

Strongly Correlated Electrons · Physics 2019-12-11 I. Hamad , F. Lisandrini , C. Gazza , Alejandro M. Lobos

We present a theoretical analysis of the effects of uniaxial magnetic anisotropy and contact-induced exchange field on the underscreened Kondo effect in S=1 magnetic quantum dots coupled to ferromagnetic leads. First, by using the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Maciej Misiorny , Ireneusz Weymann , Józef Barnaś

With the help of the numerical renormalization group method, we theoretically investigate the Josephson phase transition in a parallel junction with one quantum dot embedded in each arm. It is found that in the cases of uniform dot levels…

Mesoscale and Nanoscale Physics · Physics 2018-08-08 Guang-Yu Yi , Xiao-Qi Wang , Cui Jiang , Wei-Jiang Gong

We study transport through a triangle triple quantum dot connected to two noninteracting leads using the numerical renormalization group (NRG). The triangle has a high-spin ground state of S=1 caused by a Nagaoka ferromagnetism, when it is…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Akira Oguri , Yunori Nisikawa , Yoshihide Tanaka , Takahide Numata

We extend the real-space renormalization group (RG) approach to the study of the energy level statistics at the integer quantum Hall (QH) transition. Previously it was demonstrated that the RG approach reproduces the critical distribution…

Disordered Systems and Neural Networks · Physics 2009-11-07 Philipp Cain , Rudolf A. Roemer , Mikhail E. Raikh

It is shown that the resonance Kondo tunneling through a double quantum dot (DQD) with even occupation and singlet ground state may arise at a strong bias, which compensates the energy of singlet/triplet excitation. Using the…

Strongly Correlated Electrons · Physics 2007-05-23 M. N. Kiselev , K. Kikoin , L. W. Molenkamp

By means of a diagram technique for Hubbard operators we show the existence of a spin-dependent renormalization of the localized levels in an interacting region, e.g. quantum dot, modeled by the Anderson Hamiltonian with two conduction…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Fransson , O. Eriksson , I. Sandalov
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