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Related papers: Spin Chains from large-$N$ QCD at strong coupling

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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

The Heisenberg spin chain is a canonical integrable model. As such, it features stable ballistically propagating quasiparticles, but spin transport is sub-ballistic at any nonzero temperature: an initially localized spin fluctuation spreads…

Statistical Mechanics · Physics 2024-03-15 Sarang Gopalakrishnan , Romain Vasseur

We consider the question of what quantum spin chains naturally encode in their Hilbert space. It turns out that quantum spin chains are rather rich systems, naturally encoding solutions to various problems in combinatorics, group theory,…

Quantum Physics · Physics 2024-07-24 Marcos Crichigno , Anupam Prakash

We present an $sp^3$ tight-binding model for the calculation of the electronic and optical properties of wurtzite semiconductor quantum dots (QDs). The tight-binding model takes into account strain, piezoelectricity, spin-orbit coupling and…

Materials Science · Physics 2009-11-13 S. Schulz , S. Schumacher , G. Czycholl

The Hoft structure of the central extension of the $U_q \left( \widehat{sl\left( n \right) }\right)$ algebra is considered. The intertwine matrix induces new integrable spin chain models. We show the relation of these models and the…

High Energy Physics - Theory · Physics 2011-07-19 J. Abad , M. Rios

We study a U(1)-gauged 2-component spin system in 3 dimensions. For the gauge fields we use the Villain formulation with a constraint that removes lattice monopoles and in this form couple the gauge fields to 2-component spins. We discuss…

High Energy Physics - Lattice · Physics 2025-02-06 Christof Gattringer , Tin Sulejmanpasic

In this paper we study the one-loop dilatation operator of the full scalar field sector of Leigh-Strassler deformed N=4 SYM theory. In particular we map it onto a spin chain and find the parameter values for which the Reshetikhin…

High Energy Physics - Theory · Physics 2010-10-27 Teresia Mansson

We consider the Ising phase of the antiferromagnetic XXZ Heisenberg chain on a finite-size lattice with N sites.We compute the large $N$ behavior of the spin stiffness, obtaining the correlation length \xi. We use our results to discuss the…

Strongly Correlated Electrons · Physics 2009-11-10 Shi-Jian Gu , Vitor M. Pereira , N. M. R. Peres

We study integrable non-diagonal open boundary conditions for spin chains arising from holographic gauge theories. Their dual description is in terms of open strings stretching between giant gravitons intersecting at arbitrary angles inside…

High Energy Physics - Theory · Physics 2022-01-12 Adolfo Holguin

We examine some properties of the filled Wilson loop observables in the Kazakov-Migdal model of induced QCD. We show that they have a natural interpretation in a modification of the original model in which the $Z_N$ gauge symmetry is broken…

High Energy Physics - Theory · Physics 2009-10-22 M. I. Dobroliubov , I. I. Kogan , G. W. Semenoff , N. Weiss

We study an XXX open spin chain with variable number of sites, where the variability is introduced only at the boundaries. This model arises naturally in the study of Giant Gravitons in the AdS/CFT correspondence. We show how to quantize…

High Energy Physics - Theory · Physics 2013-05-29 David Berenstein , Diego H. Correa , Samuel E. Vazquez

The Heisenberg spin ladder is studied in the semiclassical limit, via a mapping to the nonlinear $\sigma$ model. Different treatments are needed if the inter-chain coupling $K$ is small, intermediate or large. For intermediate coupling a…

Condensed Matter · Physics 2009-10-28 D. Senechal

In this paper, we study the spin chain and string excitation in the rotating Rindler-$AdS_3$ proposed in [12]. We obtain a one-parameter deformed $SL(2)$ spin chain at the fast spin limit. Two-spin GKP-like solutions are studied at short…

High Energy Physics - Theory · Physics 2014-04-09 Shou-Huang Dai , Shogo Kuwakino , Wen-Yu Wen

Spin chains are correlated quantum models of great interest in quantum systems and materials exhibiting quasi-one-dimensional magnetic properties. Here we review results on quantum problems associated with spin chains that are beyond the…

Strongly Correlated Electrons · Physics 2025-07-01 J. M. P. Carmelo , P. D. Sacramento

The form of the spectral curve for $4d$ $N=2$ supersymmetric Yang-Mills theory with matter fields in the fundamental representation of the gauge group suggests that its $1d$ integrable counterpart should be looked for among (inhomogeneous)…

High Energy Physics - Theory · Physics 2009-10-30 A. Gorsky , A. Marshakov , A. Mironov , A. Morozov

We revisit the phase diagram of spin-1 $su(2)_k$ anyonic chains, originally studied by Gils {\it et. al.} [Phys. Rev. B, {\bf 87} (23) (2013)]. These chains possess several integrable points, which were overlooked (or only briefly…

Strongly Correlated Electrons · Physics 2017-02-22 Eric Vernier , Jesper Lykke Jacobsen , Hubert Saleur

Using the Algebraic Bethe Ansatz we consider the correlation functions of the integrable higher spin chains. We apply a method recently developed for the spin $\frac 12$ Heisenberg chain, based on the solution of the quantum inverse…

Mathematical Physics · Physics 2014-11-18 N. Kitanine

Starting from Wilson's action, we calculate strong coupling series for the Polyakov loop susceptibility in lattice gauge theories for various small N_\tau in the thermodynamic limit. Analysing the series with Pad\'e approximants, we…

High Energy Physics - Lattice · Physics 2015-05-14 Jens Langelage , Owe Philipsen

We develop a systematic approach to compute physical observables of integrable spin chains with finite length. Our method is based on Bethe ansatz solution of the integrable spin chain and computational algebraic geometry. The final results…

High Energy Physics - Theory · Physics 2021-09-23 Yunfeng Jiang , Rui Wen , Yang Zhang

Fractionalization remains one of the most fascinating manifestations of strong interactions in quantum many-body systems. In quantum magnetism, the existence of spinons -- collective magnetic excitations that behave as quasiparticles with…

Strongly Correlated Electrons · Physics 2025-07-31 N. E. Shaik , E. Fogh , B. Dalla Piazza , B. Normand , D. Ivanov , H. M. Rønnow