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The one-dimensional (1D) $J_1-J_2$ quantum spin model can be viewed as a strong-coupling analogue of the Schrieffer-Su-Heeger model with two inequivalent alternating Ising couplings along the wire, associated to the physics of resonating…

Strongly Correlated Electrons · Physics 2026-03-23 Karyn Le Hur , Fan Yang , Magali Korolev

We show that the Ruderman-Kittel-Kasua-Yoisida interaction between overscreened spins in two channel Kondo impurity systems is a relevant perturbation when the number of impurities N is greater than 3 driving the system to a new quantum…

Strongly Correlated Electrons · Physics 2025-08-29 A. M. Tsvelik , G. Kotliar

Nonlocal entanglement between two quantum dots can be generated through Majorana fermions. The two Majorana fermions at the ends of an one-dimensional topological superconductor form a nonlocal fermion level, coupling to the occupation…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Zhi Wang , Xiao Hu

In order to study the interplay between Kondo and Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, we calculate the spin-spin correlation functions between two Kondo impurities coupled to different sites of a half-filled open Hubbard…

Strongly Correlated Electrons · Physics 2013-02-28 A. C. Tiegel , P. E. Dargel , K. A. Hallberg , H. Frahm , T. Pruschke

We consider a 2-impurity Kondo system with spin-exchange coupling within the conduction band. Our numerical renormalization group calculations show that for strong intraband spin correlations the competition of these correlations with Kondo…

Strongly Correlated Electrons · Physics 2023-04-04 Krzysztof P. Wójcik , Johann Kroha

We consider an interacting nanowire/superconductor heterostructure attached to metallic leads. The device is described by an unusual low-energy model involving spin-1 conduction electrons coupled to a nonlocal spin-1/2 Kondo impurity built…

Strongly Correlated Electrons · Physics 2014-02-11 Martin R. Galpin , Andrew K. Mitchell , Jesada Temaismithi , David E. Logan , Benjamin Béri , Nigel R. Cooper

We consider a magnetic impurity in the antiferromagnetic spin-1/2 chain which is equivalent to the two-channel Kondo problem in terms of the field theoretical description. Using a modification of the transfer-matrix density matrix…

Strongly Correlated Electrons · Physics 2009-10-31 Sebastian Eggert , Stefan Rommer

The system of several (N) quantum dots coupled in parallel to the same single-mode conduction channel can be modelled as a single-channel N-impurity Anderson model. Using the generalized Schrieffer-Wolff transformation we show that near the…

Strongly Correlated Electrons · Physics 2007-06-13 R. Zitko , J. Bonca

We consider the effective coupling between impurity spins on surfaces of a thin-film Weyl semimetal within Ruderman-Kittel-Kasuya-Yoshida (RKKY) theory. If the spins are on the same surface, their coupling reflects the anisotropy and the…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Sonu Verma , Debasmita Giri , H. A. Fertig , Arijit Kundu

Majorana fermions were proposed to occur at edges and interfaces of gapped one-dimensional systems where phases with different topological character meet due to an interplay of spin-orbit coupling, proximity-induced superconductivity and…

Strongly Correlated Electrons · Physics 2013-05-29 Eran Sela , Alexander Altland , Achim Rosch

The problem of a spin-1/2 magnetic impurity near an antiferromagnetic transition of the host lattice is solved. The problem is shown to transform to a multichannel problem. A variety of fixed points is discovered asymptotically near the…

Strongly Correlated Electrons · Physics 2007-05-23 H. Maebashi , K. Miyake , C. M. Varma

Using the Majorana fermion representation of spin-1/2 local moments, we show how it is possible to directly read off the dynamic spin correlation and susceptibility from the one-particle propagator of the Majorana fermion. We illustrate our…

Strongly Correlated Electrons · Physics 2009-11-10 W. Mao , P. Coleman , C. Hooley , D. Langreth

We propose a new mechanism for topological superconductivity based on an antiferromagnetically ordered chain of magnetic atoms on the surface of a conventional superconductor. In a weak Zeeman field, a supercurrent in the substrate…

Mesoscale and Nanoscale Physics · Physics 2014-09-03 Andreas Heimes , Panagiotis Kotetes , Gerd Schön

We consider the Hubbard model with a magnetic Anderson impurity coupled to a lattice site. In the case of infinite dimensions, one-particle correlations of the impurity electron are described by the effective Hamiltonian of the two-impurity…

Strongly Correlated Electrons · Physics 2009-10-30 Benny Davidovich , V. Zevin

Recently, it has been suggested that topological superconductivity and Majorana end states can be realized in a chain of magnetic impurities on the surface of an s-wave superconductor when the magnetic moments form a spin helix as a result…

Mesoscale and Nanoscale Physics · Physics 2013-10-17 Falko Pientka , Leonid I. Glazman , Felix von Oppen

We consider magnetic impurities in a two dimensional superfluid Fermi gas in the presence of spin-orbit coupling. By using the methods of t-matrix and Green's function, we find spin-orbit coupling has some dramatic impacts on the effects of…

Quantum Gases · Physics 2013-01-07 Zhongbo Yan , Xiaosen Yang , Liang Sun , Shaolong Wan

We consider a model of ballistic quasi-one dimensional semiconducting wire with intrinsic spin-orbit interaction placed on the surface of a bulk s-wave superconductor (SC), in the presence of an external magnetic field. This setup has been…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 A. A. Zyuzin , Diego Rainis , Jelena Klinovaja , Daniel Loss

We present a theoretical framework to describe experiments directed to controlling single-atom spin dynamics by electrical means using a scanning tunneling microscope. We propose a simple model consisting of a quantum impurity connected to…

Mesoscale and Nanoscale Physics · Physics 2022-01-25 Jose Reina-Gálvez , Nicolás Lorente , Fernando Delgado , Liliana Arrachea

Quantum wires subject to the combined action of spin-orbit and Zeeman coupling in the presence of \emph{s}-wave pairing potentials (superconducting proximity effect in semiconductors or superfluidity in cold atoms) are one of the most…

Mesoscale and Nanoscale Physics · Physics 2013-03-25 Andres A. Reynoso , Diego Frustaglia

We consider a magnetic s=1/2 impurity in the antiferromagnetic spin chain as a function of two coupling parameters: the symmetric coupling of the impurity to two sites in the chain $J_1$ and the coupling between the two sites $J_2$. By…

Strongly Correlated Electrons · Physics 2009-10-31 Sebastian Eggert , David P. Gustafsson , Stefan Rommer
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