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Spin-valley Anderson impurities (SVAIM) with (anti-)Hund's splitting provide a natural explanation to the origin of pairing potential and pseudogap in the magic-angle graphene. In this work, we derive and analytically solve the low-energy…

Strongly Correlated Electrons · Physics 2026-01-26 Yi-Jie Wang , Geng-Dong Zhou , Hyunsung Jung , Seongyeon Youn , Seung-Sup B. Lee , Zhi-Da Song

We derive multidimensional bosonization directly from the electron gas in a low-energy, low momentum regime where $\omega\gg \frac{k^2}{k_F}$, such that the dispersion can be linearized. To reach this limit, the Fermi momentum and the…

Strongly Correlated Electrons · Physics 2022-10-11 Tomer Ravid , Tom Banks

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

We apply the Schwinger boson scheme to the fully screened Kondo model and generalize the method to include antiferromagnetic interactions between ions. Our approach captures the Kondo crossover from local moment behavior to a Fermi liquid…

Strongly Correlated Electrons · Physics 2007-05-23 J. Rech , P. Coleman , G. Zarand , O. Parcollet

Following up on the systematic compactification of the two-channel Kondo model (and its multichannel extensions; arXiv:2308.03569 (companion paper I)) and the demonstration of its validity over the past proposal of compactification, we…

Strongly Correlated Electrons · Physics 2024-08-12 Aleksandar Ljepoja , Nayana Shah , C. J. Bolech

We revisit the physics of a Kondo impurity coupled to a fermionic host with a diverging power-law density of states near the Fermi level, $\rho(\omega) \sim |\omega|^r$, with exponent $-1<r<0$. Using the analytical understanding of several…

Strongly Correlated Electrons · Physics 2013-11-13 Andrew K. Mitchell , Matthias Vojta , Ralf Bulla , Lars Fritz

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

We study the relationship between one-dimensional fermion gas-impurity models and quantum dissipative systems, via the method of constructive bosonisation and unitary transformation. Starting from an anisotropic Coqblin-Schrieffer model, a…

Quantum Physics · Physics 2010-06-01 Sol H. Jacobsen , P. D. Jarvis

We construct the boundary conformal field theory that describes the low-temperature behavior of the two-channel Anderson impurity model. The presence of an exactly marginal operator is shown to generate a line of stable fixed points…

Strongly Correlated Electrons · Physics 2007-05-23 H. Johannesson , N. Andrei , C. J. Bolech

Bosonization provides a powerful analytical framework to deal with one-dimensional strongly interacting fermion systems, which makes it a cornerstone in quantum many-body theory. Yet, this success comes at the expense of using effective…

Strongly Correlated Electrons · Physics 2017-12-06 Izak Snyman , Serge Florens

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 address the phenomenon of critical Kondo destruction in pseudogap Bose-Fermi Anderson and Kondo quantum impurity models. These models describe a localized level coupled both to a fermionic bath having a density of states that vanishes…

Strongly Correlated Electrons · Physics 2013-12-31 J. H. Pixley , Stefan Kirchner , Kevin Ingersent , Qimiao Si

It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is…

Condensed Matter · Physics 2009-10-28 Hiroaki Kusunose , Kazumasa Miyake

Using numerical renormalization group techniques, we study static and dynamic properties of a family of single-channel Kondo impurity models with axial magnetic anisotropy $DS_z^2$ terms; such models are appropriate to describe magnetic…

Strongly Correlated Electrons · Physics 2009-03-05 Rok Zitko , Robert Peters , Thomas Pruschke

Tunnelling impurities in metals have been known for some time to have the potential for exhibiting Kondo-like physics. However previous models based on an impurity hopping between two equivalent positions have run into trouble due to the…

Condensed Matter · Physics 2009-10-28 Aris L. Moustakas , Daniel S. Fisher

The one-dimensional Kondo lattice model is investigated by using bosonization techniques and conformal field theory. In the half-filled band, the charge and spin gaps open for the anti-ferromagnetic Kondo coupling. Away from half-filling,…

Condensed Matter · Physics 2009-10-22 S. Fujimoto , N. Kawakami

We present a general method to bosonize systems of Fermions with infinitely many degrees of freedom, in particular systems of non-relativistic electrons at positive density, by expressing the quantized conserved electric charge- and current…

High Energy Physics - Theory · Physics 2011-07-19 J. Froehlich , R. Goetschmann , P. A. Marchetti

We study a spinless level that hybridizes with a fermionic band and is also coupled via its charge to a dissipative bosonic bath. We consider the general case of a power-law hybridization function $\Gamma(\w)\propto |\w|^r$ with $r\ge 0$,…

Strongly Correlated Electrons · Physics 2008-01-17 Chung-Hou Chung , Matthew T. Glossop , Lars Fritz , Marijana Kirćan , Kevin Ingersent , Matthias Vojta

We carry out a field-theoretical renormalization group procedure based on the Callan-Symanzik equation to calculate the detailed flow for the (multi) two-channel Kondo model and its compactified versions. In doing so, we go beyond the…

Strongly Correlated Electrons · Physics 2024-08-12 Aleksandar Ljepoja , C. J. Bolech , Nayana Shah

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