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The convergent iterative procedure for solving the groundstate Schroedinger equation is extended to derive the excitation energy and the wave function of the low-lying excited states. The method is applied to the one-dimensional quartic…

Quantum Physics · Physics 2009-11-13 R. Friedberg , T. D. Lee , W. Q. Zhao

The variational approach of Gunnarsson and Sch\"onhammer to the Anderson impurity model is generalized to study d-wave superconductors in the presence of dilute spin-1/2 impurities. We show that the local moment is screened when the…

Strongly Correlated Electrons · Physics 2009-11-07 Xi Dai , Ziqiang Wang

Within the frameworks of spin-polaron concept and the spherically symmetric state for the antiferromagnetic spin background, the one-particle motion is studied for two-dimensional Kondo-lattice. The elemetary excitations are represented as…

Strongly Correlated Electrons · Physics 2009-10-30 L. A. Maksimov , A. F. Barabanov , R. O. Kuzian

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 studied the ground state of alkaline-earth-metal atoms confined in one-dimensional optical lattices with an effective hybridization generated by a suitable laser field. This system is modeled by the periodic Anderson model plus a…

Strongly Correlated Electrons · Physics 2018-02-28 R. C. Caro , R. Franco , J. Silva-Valencia

We present a new method for calculating ground state properties of quantum dots in high magnetic fields. It takes into account the equilibrium positions of electrons in a Wigner cluster to minimize the interaction energy in the high field…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Kainz , S. A. Mikhailov , A. Wensauer , U. Roessler

We investigate the Kondo effect of a spin-3/2 Fermi gas and give a detailed calculation of the impurity resistance and ground state energy based on the s-d exchange model. It is found that the impurity resistance increases logarithmically…

Quantum Gases · Physics 2026-03-16 Bei Xu , Shoufa Sun , Qiang Gu

In this paper we study a class of exactly solvable Kondo-Heisenberg toy models in one dimension, with the goal of comparing the exact low-energy excitations of the ferromagnetic ground state to the approximate solution obtained from spin…

Strongly Correlated Electrons · Physics 2024-09-06 M. Frakulla , J. Strockoz , D. S. Antonenko , J. W. F. Venderbos

We consider a two dimensional Kondo lattice model with exchange J and hopping t in which three out of four impurity spins are removed in a regular way. At the particle-hole symmetric point the model may be studied with auxiliary field…

Strongly Correlated Electrons · Physics 2013-05-29 F. F. Assaad

We analyze the two Anderson impurity problem, in the strong Coulomb repulsion limit, by means of variational wave functions whose equations we solve analytically. We found two pairs of Doublet states, one odd and one even with respect to…

Strongly Correlated Electrons · Physics 2007-05-23 J. Simonin

The exact ground state of four electrons in an arbitrary large two leg Hubbard ladder is deduced from nine analytic and explicit linear equations. The used procedure is described, and the properties of the ground state are analyzed. The…

Strongly Correlated Electrons · Physics 2007-05-23 Endre Kovacs , Zsolt Gulacsi

We present an extension of the local moment approach to the Anderson impurity model with spin-dependent hybridization. By employing the two-self-energy description, as originally proposed by Logan and co-workers, we applied the symmetry…

Strongly Correlated Electrons · Physics 2011-08-04 Choong H. Kim , Jaejun Yu

The Kondo effect is a key many-body phenomenon in condensed matter physics. It concerns the interaction between a localised spin and free electrons. Discovered in metals containing small amounts of magnetic impurities, it is now a…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 S. Sasaki , S. De Franceschi , J. M. Elzerman , W. G. van der Wiel , M. Eto , S. Tarucha , L. P. Kouwenhoven

We study how the Kondo effect is affected by the Coulomb interaction between conduction electrons on the basis of a simplified model. The single impurity Anderson model is extended to include the Coulomb interaction on the nearest-neighbour…

Strongly Correlated Electrons · Physics 2009-10-31 Ryu Takayama , Osamu Sakai

The Kondo problem of two impurities in 1D strongly correlated electron system within the framework of the open boundary Hubbard chain is solved and the impurities, coupled to the ends of the electron system, are introduced by their…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-Ning Hu , Fu-Cho Pu

The work presents a simple formalism which proposes an estimate of the ground state energy from a single reference function. It is based on a perturbative expansion but leads to non linear coupled equations. It can be viewed as well as a…

Strongly Correlated Electrons · Physics 2007-05-23 Mohamad Al Hajj , Jean-Paul Malrieu

A Bethe Ansatz solution of a (modified) Hubbard chain with a Kondo impurity of arbitrary spin S at a highly symmetric line of parameter space is proposed and explored. Our results confirm the existence of a strong-coupling (line of)…

Strongly Correlated Electrons · Physics 2009-10-31 P. -A. Bares , K. Grzegorczyk

Analytic approximations to the ground-state energy of closed-shell quantum dots (number of electrons from 2 to 210) are presented in the form of two-point Pade approximants. These Pade approximants are constructed from the small- and…

Condensed Matter · Physics 2009-10-30 A. Gonzalez , B. Partoens , F. M. Peeters

Working in a subspace with dimensionality much smaller than the dimension of the full Hilbert space, we deduce exact 4-particle ground states in 2D samples containing hexagonal repeat units and described by Hubbard type of models. The…

Strongly Correlated Electrons · Physics 2014-06-26 Reka Trencsenyi , Konstantin Glukhov , Zsolt Gulacsi

Bound-state solutions are obtained numerically in the instantaneous approximation for a spin-0 and spin-1/2 constituent that interact via minimal electrodynamics. To solve the integral equations in momentum space, a method is developed for…

High Energy Physics - Theory · Physics 2007-05-23 G. Bruce Mainland