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We compare two fermionic renormalization group methods which have been used to investigate the electronic transport properties of one-dimensional metals with two-particle interaction (Luttinger liquids) and local inhomogeneities. The first…

Strongly Correlated Electrons · Physics 2008-05-02 V. Meden , S. Andergassen , T. Enss , H. Schoeller , K. Schoenhammer

We develop a scaling theory and a renormalization technique in the context of the modern theory of polarization. The central idea is to use the characteristic function (also known as the polarization amplitude) in place of the free energy…

Disordered Systems and Neural Networks · Physics 2021-12-17 Balázs Hetényi , Selçuk Parlak , Mohammad Yahyavi

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

The behaviour of a d-dimensional vectorial N=3 model at a m-axial Lifshitz critical point is investigated by means of a nonperturbative renormalization group approach that is free of the huge technical difficulties that plague the…

Statistical Mechanics · Physics 2012-06-19 K. Essafi , J. -P. Kownacki , D. Mouhanna

Multichannel Kondo lattice models are examples of strongly correlated electronic systems that exhibit non-Fermi-liquid behavior due to the presence of a continuous channel symmetry. Mean-field analyses have predicted that these systems…

Strongly Correlated Electrons · Physics 2024-04-02 Yang Ge , Yashar Komijani

We study magnetic ordering of an extended Kondo-lattice model including an additional on-site Coulomb interaction between the itinerant states. The model is solved in the dynamical mean-field theory using Wilson's numerical renormalization…

Strongly Correlated Electrons · Physics 2009-08-20 Robert Peters , Thomas Pruschke

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

The breakdown of the lattice Kondo effect in local-moment metals can lead to non-trivial forms of quantum criticality and a variety of non-Fermi-liquid phases. Given indications that Kondo-breakdown transitions involve criticality not only…

Strongly Correlated Electrons · Physics 2022-12-20 Pedro M. Cônsoli , Matthias Vojta

We discuss Kondo effect for a general model, describing a quantum impurity with degenerate energy levels, interacting with a gas of itinerant electrons, and derive scaling equation to the second order for such a model. We show how the…

Mesoscale and Nanoscale Physics · Physics 2018-08-02 E. Kogan

A hybrid of the critical three dimensional Gross-Neveu and Thirring models deformed by explicit parity breaking operators is studied in the large N expansion and using the renormalization group. The regime of coupling constants where the…

High Energy Physics - Theory · Physics 2024-09-17 Gordon W. Semenoff , Riley A. Stewart

The well-known phase structure of the two-dimensional sine-Gordon model is reconstructed by means of its renormalization group flow, the study of the sensitivity of the dynamics on microscopic parameters. Such an analysis resolves the…

High Energy Physics - Theory · Physics 2008-11-26 S. Nagy , I. Nandori , J. Polonyi , K. Sailer

A Coulomb blockaded $M$-Majorana island coupled to normal metal leads realizes a novel type of Kondo effect where the effective impurity "spin" transforms under the orthogonal group $SO(M)$. The impurity spin stems from the non-local…

Strongly Correlated Electrons · Physics 2023-02-15 Guangjie Li , Yuval Oreg , Jukka I. Väyrynen

We study the superfluid-insulator transition of a particle-hole symmetric system of long-range interacting bosons in a time-dependent random potential in two dimensions, using the momentum-shell renormalization-group method. We find a new…

Superconductivity · Physics 2009-10-31 Kihong Kim

We propose a physical realization of the two-channel Kondo (2CK) effect, where a dynamical defect in a metal has a unique ground state and twofold degenerate excited states. In a wide range of parameters the interactions with the electrons…

Mesoscale and Nanoscale Physics · Physics 2008-02-04 Michael Arnold , Tobias Langenbruch , Johann Kroha

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

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 revisit supersymmetric nonlinear sigma models on the target manifold $CP^{N-1}$ and $SO(N)/SO(N-2)\times U(1)$ in four dimensions. These models are formulated as gauged linear models, but it is indicated that the Wess-Zumino term should…

High Energy Physics - Theory · Physics 2020-09-16 Aya Kondo , Tomohiko Takahashi

Following Feynman's successful treatment of the polaron problem we apply the same variational principle to quenched QED in the worldline formulation. New features arise from the description of fermions by Grassmann trajectories, the…

High Energy Physics - Theory · Physics 2009-10-31 C. Alexandrou , R. Rosenfelder , A. W. Schreiber

The multichannel Kondo model with SU(N) spin symmetry and SU(K) channel symmetry is considered. The impurity spin is chosen to transform as an antisymmetric representation of SU(N), corresponding to a fixed number of Abrikosov fermions…

Strongly Correlated Electrons · Physics 2009-10-30 Olivier Parcollet , Antoine Georges , Gabriel Kotliar , Anirvan Sengupta

Recently, the issue of whether the Kondo problem in quantum dots at large bias is a weak-coupling problem or not has been raised. In this paper, we revisit this problem by carefully analyzing a corresponding model in the solvable limit --…

Strongly Correlated Electrons · Physics 2009-11-07 Yu-Wen Lee , Yu-Li Lee