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I study the technique of Algebraic Bethe Ansatz for solving integrable models and show how it works in detail on the simplest example of spin 1/2 XXX magnetic chain. Several other models are treated more superficially, only the specific…

High Energy Physics - Theory · Physics 2007-05-23 L. D. Faddeev

We study mesoscopic resonant tunneling as well as multichannel Kondo problems by mapping them to a first-quantized quantum mechanical model of a particle moving in a multi-dimensional periodic potential with Ohmic dissipation. From a…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Hangmo Yi

We investigate the anisotropic integrable spin chain consisting of spins $s={1/2}$ and $s=1$ by means of thermodynamic Bethe ansatz for the anisotropy $\gamma>\pi/3$, where the analysis of the Takahashi conditions leads to a more…

High Energy Physics - Theory · Physics 2008-11-26 B. -D. Doerfel , St. Meissner

It has been claimed that an impurity hopping between two sites in a metal can lead to non--Fermi liquid behavior if the bias between the two sites is tuned to zero. Here it is shown that several extra tunnelling processes are allowed; those…

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

An exactly solvable strongly correlated electron model with two independent parameters is constructed in the frame of the quantum inverse scattering method, which can be seen as a generalization of the Bariev model. Through the Bethe ansatz…

Strongly Correlated Electrons · Physics 2024-11-14 Mingchen Zheng , Xin Zhang , Junpeng Cao , Wen-li Yang , Yupeng Wang

We study the effect of crystal field anisotropy in the underscreened $S=1$ Kondo lattice model. Starting from the two orbital Anderson lattice model and including a local anisotropy term, we show, through Schrieffer-Wolff transformation,…

Strongly Correlated Electrons · Physics 2015-06-19 Christopher Thomas , Acirete S. da Rosa Simões , Claudine Lacroix , José Roberto Iglesias , Bernard Coqblin

We exactly solve the ferromagnetic spin-1/2 Ising model on the Bethe lattice in the presence of an external magnetic field by means of the equations of motion method within the Green's function formalism. In particular, such an approach is…

Statistical Mechanics · Physics 2009-11-13 Ferdinando Mancini , Adele Naddeo

We demonstrate that the absence of stable quasiparticle excitations on parts of the Fermi surface, similar to the "nodal-antinodal dichotomy" in underdoped cuprate superconductors, can be reproduced in models of strongly correlated…

Strongly Correlated Electrons · Physics 2023-06-21 Ronnie Rodgers , Jewel Kumar Ghosh , Alexander Krikun

A multipolar Kondo model of an impurity spin S_I=3/2 interacting with conduction electrons with spin s_c=3/2 is investigated using boundary conformal field theory. A two-channel Kondo (2CK) -like non-Fermi liquid (NFL) under the…

Strongly Correlated Electrons · Physics 2009-11-11 Kazumasa Hattori

We study the out of equilibrium steady state properties of the Bose-Fermi-Kondo model, describing a local magnetic moment coupled to two ferromagnetic leads that support bosonic (magnons) and fermionic (Stoner continuum electrons) low…

Strongly Correlated Electrons · Physics 2015-06-15 Pedro Ribeiro , Qimiao Si , Stefan Kirchner

We study attractively interacting fermions on a square lattice with dispersion relations exhibiting strong spin-dependent anisotropy. The resulting Fermi surface mismatch suppresses the s-wave BCS-type instability, clearing the way for…

The paramagnetic phase of the two channel Anderson Lattice model in the Kondo limit is investigated in infinite spatial dimensions using the non-crossing approximation. The resistivity exhibits a Kondo upturn with decreasing $T$, followed…

Condensed Matter · Physics 2009-10-28 Frithjof B. Anders , Mark Jarrell , D. L. Cox

We investigate a four-impurity Anderson model where localized orbitals are located at vertices of a regular tetrahedron and find a novel fixed point in addition to the ordinary Fermi liquid phase. That is characterized by unscreened scalar…

Strongly Correlated Electrons · Physics 2015-06-05 K. Hattori , H. Tsunetsugu

The transfer matrix of the general integrable open XXZ quantum spin chain obeys certain functional relations at roots of unity. By exploiting these functional relations, we determine the Bethe Ansatz solution for the transfer matrix…

High Energy Physics - Theory · Physics 2011-02-16 Rajan Murgan , Rafael I. Nepomechie

The Kondo-necklace model can describe magnetic low-energy limit of strongly correlated heavy fermion materials. There exist multiple energy scales in this model corresponding to each phase of the system. Here, we study quantum phase…

Strongly Correlated Electrons · Physics 2015-04-06 S. Hemmatiyan , M. Rahimi Movassagh , N. Ghassemi , M. Kargarian , A. T. Rezakhani , A. Langari

The low-temperature behavior of the asymmetric single-impurity Anderson model is studied by diagrammatic methods resulting in analytically controllable approximations. We first discuss the ways one can simplify parquet equations in critical…

Strongly Correlated Electrons · Physics 2008-09-16 V Janis , P. Augustinsky

The phase diagram of the two-channel Kondo lattice model is examined with a Quantum Monte Carlo simulation in the limit of infinite dimensions. Commensurate (and incommensurate) antiferromagnetic and superconducting states are found. The…

Condensed Matter · Physics 2009-10-28 Mark Jarrell , Hanbin Pang , D. L. Cox

We calculate the differential conductance as a function of temperature and bias voltage, $G(T,V)$, through Au monoatomic chains with a substitutional Co atom as a magnetic impurity, connected to a four-fold symmetric lead. The system was…

Strongly Correlated Electrons · Physics 2015-06-19 S. Di Napoli , P. Roura-Bas , Andreas Weichselbaum , A. A. Aligia

The quantum $\tau_2$-model with generic site-dependent inhomogeneity and arbitrary boundary fields is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix are given in terms of an…

Mathematical Physics · Physics 2016-12-21 Xiaotian Xu , Kun Hao , Tao Yang , Junpeng Cao , Wen-Li Yang , Kangjie Shi

We present a Fermi liquid approach to superconducting Kondo problems applicable when the Kondo temperature is large compared to the superconducting gap. To illustrate the theory, we study the current-phase relation and the Andreev level…

Mesoscale and Nanoscale Physics · Physics 2018-11-20 A. Zazunov , S. Plugge , R. Egger
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