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By properly generalizing Nozie`res' Fermi liquid theory, we construct an Hamiltonian approach to the scattering of conduction electrons off a spin-1/2 impurity in the ovescreneed Kondo regime, as T -> 0. We derive the S-matrix at the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Domenico Giuliano , Arturo Tagliacozzo

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 phase diagram of the multichannel Kondo Hamiltonian with an XXZ spin-exchange anisotropy is revisited, revealing a far richer fixed-point structure than previously appreciated. For a spin-1/2 impurity and k > 2 conduction-electron…

Strongly Correlated Electrons · Physics 2007-05-23 Avraham Schiller , Lorenzo De Leo

We reformulate the two-channel Kondo model to explicitly remove the unscattered charge degrees of freedom. This procedure permits us to move the non-Fermi liquid fixed point to infinite coupling where we can apply a perturbative…

Condensed Matter · Physics 2010-02-18 P. Coleman , L. Ioffe , A. M. Tsvelik

Recent experiments by Potok et al. have demonstrated a remarkable tunability between a single-channel Fermi liquid fixed point and a two-channel non-Fermi liquid fixed point. Motivated by this we study the nonequilibrium dynamics due to a…

Strongly Correlated Electrons · Physics 2013-05-29 Zurab Ratiani , Aditi Mitra

We use the framework set up recently to compute non-perturbatively inelastic scattering from quantum impurities [G. Zar\'and {\it et al.}, Phys. Rev. Lett. {\bf 93}, 107204 (2004)] to study the the energy dependence of the single particle…

Strongly Correlated Electrons · Physics 2007-06-18 L. Borda , L. Fritz , N. Andrei , G. Zarand

We study a double quantum dot in the regime where each dot carries a spin-1/2. This system is described by the 2-impurity Kondo model, having a non-Fermi liquid fixed point for a critical value of the inter-impurity coupling. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Eran Sela , Ian Affleck

We study the low-temperature properties of the generalized Anderson impurity model in which two localized configurations, one with two doublets and the other with a triplet, are mixed by two degenerate conduction channels. By using the…

Strongly Correlated Electrons · Physics 2019-09-04 G. G. Blesio , L. O. Manuel , A. A. Aligia , P. Roura-Bas

We show that a Majorana fermion description of the two channel Kondo model can emerge quite naturally as a representation of the algebra associated with the spin currents in the two channels. Using this representation we derive an exact…

Strongly Correlated Electrons · Physics 2008-02-03 G. -M. Zhang , A. C. Hewson , R. Bulla

We study an extended SU(N) single-impurity Kondo model in which the impurity spin is described by a combination of Abrikosov fermions and Schwinger bosons. Our aim is to describe both the quasiparticle-like excitations and the locally…

Strongly Correlated Electrons · Physics 2013-05-29 Andres Jerez , Mireille Lavagna , Damien Bensimon

We consider the non-Fermi liquid quantum critical state of the spin-S two-impurity Kondo model, and its potential realization in a quantum dot device. Using conformal field theory (CFT) and the numerical renormalization group (NRG), we show…

Strongly Correlated Electrons · Physics 2012-02-28 Andrew K. Mitchell , Eran Sela , David E. Logan

Majorana fermion representations of the algebra associated with spin, charge, and flavor currents have been used to transform the two-channel Kondo Hamiltonian. Using a path integral formulation, we derive a reduced effective action with…

Strongly Correlated Electrons · Physics 2009-10-31 Guang-Ming Zhang , Lu Yu

We study the interplay between the spin-liquid and Kondo physics, as related to the non-magnetic part of the phase diagram of heavy fermion materials. Within the unrestricted mean-field treatment of the infinite-$U$ 2D Anderson-Heisenberg…

Strongly Correlated Electrons · Physics 2009-11-13 Jian-Xin Zhu , I. Martin , A. R. Bishop

We consider the single channel Kondo problem with the Kondo coupling between a spin $S$ impurity and conduction electrons with spin $j$. These problems arise as multicritical points in the parameter spaces of two- and higher-level tunneling…

Condensed Matter · Physics 2009-10-28 Anirvan M. Sengupta , Yong Baek Kim

We study a system of an impurity spin coupled to a junction of several Tomonaga-Luttinger liquids using a renormalization group scheme. For the decoupled S-matrix at the junction, there is a range of Kondo couplings which flow to a…

Strongly Correlated Electrons · Physics 2009-11-11 V. Ravi Chandra , Sumathi Rao , Diptiman Sen

We analyze the structure of the perturbation expansion of the general multichannel Kondo model with channel anisotropic exchange couplings and in the presence of an external magnetic field, generalizing to this case the Anderson-Yuval…

Condensed Matter · Physics 2009-10-22 M. Fabrizio , Alexander O. Gogolin , Ph. Nozières

Capitalizing on recent work, that clarifies the consistent use of bosonization-debosonization methods to study Kondo-type quantum impurity models even in nonequilibrium settings, we revisit the compactification procedure of the two-channel…

Strongly Correlated Electrons · Physics 2024-08-09 Aleksandar Ljepoja , C. J. Bolech , Nayana Shah

The bosonization of the $S=1/2$ anisotropic two-channel Kondo model is shown to yield two equivalent representations of the original problem. In a straight forward extension of the Emery-Kivelson approach, the interacting resonant level…

Condensed Matter · Physics 2009-10-28 A. J. Schofield

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

A detailed and comprehensive study of the one-impurity multichannel Kondo model is presented. In the limit of a large number of conduction electron channels $k \gg 1$, the low energy fixed point is accessible to a renormalization group…

Condensed Matter · Physics 2009-10-22 Junwu Gan
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