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The multichannel Kondo model supports effective anyons on the partially screened impurity, as suggested by its fractional impurity entropy. It was recently demonstrated for the multi-impurity chiral Kondo model, that scattering of an…

Strongly Correlated Electrons · Physics 2022-04-26 Dor Gabay , Cheolhee Han , Pedro L. S. Lopes , Ian Affleck , Eran Sela

It is shown that the Hamiltonian for a quantum magnetic impurity on the surface of a topological insulator can be mapped to the conventional pseudo-gap Anderson impurity model, albeit with the combinations of continuum states which…

Strongly Correlated Electrons · Physics 2011-02-07 Rok Zitko

Two models for the long-range random impurity potential (the model with randomly distributed charged centers located within a layer and the model of the system with a spacer) are used for evaluation of the impurity potential fluctuation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yu. G. Arapov , O. A. Kuznetsov , V. N. Neverov , G. I. Harus , N. G. Shelushinina , M. V. Yakunin

We present a comprehensive analysis of boundary phenomena in a spin-$\frac{1}{2}$ anisotropic Heisenberg chain (XXZ-$\frac{1}{2}$) in the gapped antiferromagnetic phase, with a particular focus on the interplay between fractionalized…

Strongly Correlated Electrons · Physics 2025-06-05 Pradip Kattel , Parameshwar R. Pasnoori , J. H. Pixley , Natan Andrei

A quantum integrable spin chain model associated with the $G_2$ exceptional Lie algebra is studied. By using the fusion technique, the closed recursive relations among the fused transfer matrices are obtained. These identities allow us to…

Mathematical Physics · Physics 2024-12-18 Guang-Liang Li , Junpeng Cao , Pei Sun , Wen-Li Yang , Kangjie Shi , Yupeng Wang

New boundary bound states (BBS) are found of an integrable model with the magnetic impurities located at the edges of an open Heisenberg spin chain. These bound states carry the real energy and are formed by three or five imaginary modes of…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-Ning Hu

Impurities, which are inherently present in any real material, may play an important role in the magnetism of frustrated spin systems with spin-liquid ground states. We address the impurity issue in quantum kagome antiferromagnets by…

Strongly Correlated Electrons · Physics 2016-08-02 M. Gomilsek , M. Klanjsek , M. Pregelj , H. Luetkens , Y. Li , Q. M. Zhang , A. Zorko

Semi-infinite quantum spin chains display spin autocorrelations near the boundary with power-law exponents that are given by boundary conformal field theories. We show that NMR measurements on spinless impurities that break a quantum spin…

Strongly Correlated Electrons · Physics 2009-10-31 V. Brunel , M. Bocquet , Th. Jolicoeur

We theoretically study bound states generated by magnetic impurities within conventional $s$-wave superconductors, both analytically and numerically. In determining the effect of the hybridization of two such bound states on the energy…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 Silas Hoffman , Jelena Klinovaja , Tobias Meng , Daniel Loss

We develop a microscopic theory of a quantum impurity propagating in a one-dimensional Bose liquid. As a result of scattering off thermally excited quasiparticles, the impurity experiences the friction. We find that, at low temperatures,…

Quantum Gases · Physics 2016-09-05 Aleksandra Petković , Zoran Ristivojevic

We study a class of integrable alternating (S1,S2) quantum spin chains with critical ground state properties. Our main result is the description of the thermal Drude weight of the one-dimensional alternating spin chain as a function of…

Statistical Mechanics · Physics 2011-09-19 G. A. P. Ribeiro , N. Crampe , A. Klümper

We consider the case of an integrable quantum spin chain with "soliton non-peserving" boundary conditions. This is the first time that such boundary conditions have been considered in the spin chain framework. We construct the transfer…

High Energy Physics - Theory · Physics 2008-11-26 Anastasia Doikou

We review research on a number of situations where a quantum impurity or a physical boundary has an interesting effect on entanglement entropy. Our focus is mainly on impurity entanglement as it occurs in one dimensional systems with a…

Statistical Mechanics · Physics 2010-05-07 Ian Affleck , Nicolas Laflorencie , Erik S. Sorensen

The Ising spin - S model on recursive p - polygonal structures in the external magnetic field is considered and the general form of the free energy and magnetization for arbitrary spin is derived. The exact relation between the free…

Statistical Mechanics · Physics 2015-06-25 N. S. Ananikian , N. Sh. Izmailian , K. A. Oganessyan

We show that the problem of impurity tunneling in a Luttinger liquid of electrons with spin is solvable in the spin isotropic case ($g_\sigma=2$, $g_\rho$ arbitrary). The resulting integrable model is similar to a two channel anisotropic…

Strongly Correlated Electrons · Physics 2009-10-30 F. Lesage , H. Saleur , P. Simonetti

We obtain long series expansions for the bulk, surface and corner free energies for several two-dimensional statistical models, by combining Enting's finite lattice method (FLM) with exact transfer matrix enumerations. The models encompass…

Mathematical Physics · Physics 2014-04-23 Eric Vernier , Jesper Lykke Jacobsen

To allow for a comparison of theoretical predictions for spin chains with experimental data, it is often important to take impurity effects as well as interchain couplings into account. Here we present the field theory for finite spin…

Strongly Correlated Electrons · Physics 2009-09-23 J. Sirker

We study the problem of a boundary magnetic impurity coupled with the solvable $t-J$ chains. Our model provides a good start point to understand the Kondo problem in a Luttinger liquid as well as in a strongly correlated host. The Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 Jianhui Dai , Yupeng Wang

Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without $U(1)$ symmetry, their spectra are usually given by inhomogeneous $T-Q$…

Mathematical Physics · Physics 2021-11-12 Xiong Le , Yi Qiao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We examine the formation of localized states on a generalized nonlinear impurity located at, or near the surface of a semi-infinite 2D square lattice. Using the formalism of lattice Green functions, we obtain in closed form the number of…

Pattern Formation and Solitons · Physics 2009-11-11 Mario I. Molina