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The ground state of the Kondo chain is calculated taking into account the formation of local singlet states of electrons and moments. Singlets are entangled local states of electrons and moments arranged chaotically and varying in time.…

Strongly Correlated Electrons · Physics 2024-09-09 Igor N. Karnaukhov

We show the existence of invariant energy levels in a Kondo lattice model on an isolated complete graph, such as a triangle and a tetrahedron. These energy levels always have fixed eigenenergies $t \pm J/2$, irrespective of the…

Strongly Correlated Electrons · Physics 2013-10-18 Masafumi Udagawa , Hiroaki Ishizuka , Yukitoshi Motome

In the partition function of the Kondo lattice, spin matrices are exactly replaced by bilinear combinations of Fermi operators with the purely imaginary chemical potential lambda=-i.pi.T/2 (Popov representation). This new representation of…

Strongly Correlated Electrons · Physics 2009-10-31 F. Bouis , M. N. Kiselev

We apply the extended (statistically-consistent, SGA) Gutzwiller-type approach to the periodic Anderson model (PAM) in an applied magnetic field and in the strong correlation limit. The finite-U corrections are included systematically by…

Strongly Correlated Electrons · Physics 2012-09-05 Olga Howczak , Józef Spałek

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

A new type of perturbation expansion in the mixing $V$ of localized orbitals with a conduction-electron band in the $U\to\infty$ Anderson model is presented. It is built on Feynman diagrams obeying standard rules. The local correlations of…

Condensed Matter · Physics 2009-10-22 Jan Brinckmann

We investigate the Pad\'e approximation method for the analytic continuation of numerical data and its ability to access, from the Euclidean propagator, both the spectral function and part of the physical information hidden in the second…

High Energy Physics - Phenomenology · Physics 2017-09-13 Gergely Markó , Urko Reinosa , Zsolt Szép

A Slave-Boson perturbational approach to ground-state properties of the $U\to\infty$ periodic Anderson model is derived as an expansion around the Atomic Limit ($V=0$). In the case of zero temperature any constraint-integral or limiting…

Condensed Matter · Physics 2009-10-28 Jan Brinckmann

Understanding the interplay of band topology, strong electron correlation, and magnetic order is the fundamental core bottleneck for realizing robust high-temperature quantum anomalous Hall effect (QAHE). Conventional two-band Anderson…

Strongly Correlated Electrons · Physics 2026-04-01 Zhong-Yi Wang , Ya-Min Quan , Yu-Xuan Sun , Liang-Jian Zou , Xiang-Long Yu

We examine how the properties of the Kondo insulators change when the symmetry of the underlying crystal field multiplets is taken into account. We employ the Anderson lattice model and consider its low-energy physics. We show that in a…

Strongly Correlated Electrons · Physics 2012-02-06 Maxim Dzero , Kai Sun , Piers Coleman , Victor Galitski

Using mean field approach, we provide analytical and numerical solution of the symmetric Anderson lattice for arbitrary dimension at half filling. The symmetric Anderson lattice is equivalent to the Kondo lattice, which makes it possible to…

Strongly Correlated Electrons · Physics 2021-03-15 Igor N. Karnaukhov

The effectiveness of the recently developed Fixed-Node Quantum Monte Carlo method for lattice fermions, developed by van Leeuwen and co-workers, is tested by applying it to the 1D Kondo lattice, an example of a one-dimensional model with a…

Condensed Matter · Physics 2007-05-23 H. J. M. van Bemmel , W. van Saarloos , D. F. B. ten Haaf

In this paper we introduce a solvable two-orbital/band model with infinite-range Hatsugai-Kohmoto interaction, which serves as a modified periodic Anderson model. Its solvability results from strict locality in momentum space, and is valid…

Strongly Correlated Electrons · Physics 2022-10-12 Yin Zhong

The correlated Kondo-lattice model is used to describe the interaction of electrons in a single conduction band with localized magnetic moments as well as their mutual repulsion. It is our intension to provide an analytical exact result for…

Strongly Correlated Electrons · Physics 2007-05-23 T. Hickel , J. Roeseler , W. Nolting

The periodic Anderson model (PAM) captures the essential physics of heavy fermion materials. Yet even for the paramagnetic metallic phase, a practicable many-body theory that can simultaneously handle all energy scales while respecting the…

Strongly Correlated Electrons · Physics 2009-11-10 N. S. Vidhyadhiraja , David. E. Logan

The Kondo insulator (KI) is studyed in the frameworrk of one dimensional models of Kondo and symmentic Anderson lattices at half filling. The consistent application of the mean field approach and the solution using the Bethe ansatz made it…

Strongly Correlated Electrons · Physics 2023-07-20 Igor N. Karnaukhov

Using the density matrix renormalization group (DMRG) method we study a two-channel Kondo lattice model on a half filled ladder. Our model involves an on-site s-wave and a nearest neighbor d-wave coupling between the local moments and the…

Strongly Correlated Electrons · Physics 2009-10-31 Juana Moreno , Shaojin Qin , P. Coleman , Lu Yu

The periodic Anderson model is extended by switching on a Hubbard U for the conduction electrons. We use the Gutzwiller variational method to study the nearly integral valent limit. The lattice Kondo energy contains the U-dependent chemical…

Strongly Correlated Electrons · Physics 2016-08-31 P. Fazekas , K. Itai

We present improvements of a recently introduced numerical method [Arrigoni etal, Phys. Rev. Lett. 110, 086403 (2013)] to compute steady state properties of strongly correlated electronic systems out of equilibrium. The method can be…

Strongly Correlated Electrons · Physics 2015-12-22 Irakli Titvinidze , Antonius Dorda , Wolfgang von der Linden , Enrico Arrigoni

Recent experimental advances in scanning tunneling microscopy make the measurement of the conductance spectra of isolated and magnetically coupled atoms on nonmagnetic substrates possible. Notably these spectra are characterized by a…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Aaron Hurley , Nadjib Baadji , Stefano Sanvito