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We consider integrable deformations of the XXZ spin chain for periodic and open boundary conditions. In particular, we classify all long-range deformations and study their impact on the spectrum. As compared to the XXX case, we have the…

Mathematical Physics · Physics 2013-10-03 Niklas Beisert , Lucas Fievet , Marius de Leeuw , Florian Loebbert

We present numerical results for the spin and thermal conductivity of one-dimensional (1D) quantum spin systems. We contrast the properties of integrable models such as the spin-1/2 XXZ chain against nonintegrable ones such as frustrated…

Strongly Correlated Electrons · Physics 2008-01-09 F. Heidrich-Meisner , A. Honecker , W. Brenig

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

In this paper, we discuss the effect of the arbitrary spin impurities to the spin-1/2 and spin-1 XXZ model. The effect of ground state, the free energy, the magnetic susceptibility, the specific heat and the Kondo temperature are given by…

Condensed Matter · Physics 2007-05-23 Boyu Hou , Kangjie Shi , Ruihong Yue , Shaoyou Zhao

The low-dimensional s=1/2 compound (NO)[Cu(NO3)3] has recently been suggested to follow the Nersesyan-Tsvelik model of coupled spin chains. Such a system shows unbound spinon excitations and a resonating valence bond ground state due spin…

Strongly Correlated Electrons · Physics 2022-06-08 V. Gnezdilov , P. Lemmens , Yu. G. Pashkevich , D. Wulferding , I. V. Morozov , O. S. Volkova , A. Vasiliev

We study a recently derived fully relativistic kinetic model for spin-1/2 particles. Firstly, the full set of conservation laws for energy, momentum and angular momentum are given, together with an expression for the (non-symmetric)…

Plasma Physics · Physics 2019-08-09 R. Ekman , H. Al-Naseri , J. Zamanian , G. Brodin

All eigenstates and eigenvalues are determined for the spin- 1/2 $XXZ$ chain $H = 2J \sum_i ( S_{i}^{x} S_{i + 1}^{x} + S_{i}^{y} S_{i + 1}^{y} + \Delta S_i^z S_{i + 1}^{z})$ for rings with up to N=16 spins, for anisotropies $\Delta=0 ,…

Statistical Mechanics · Physics 2016-08-31 Klaus Fabricius , Ute Löw , Joachim Stolze

We consider the problem of analytically continuing energies computed with the Bethe ansatz, as posed by the study of non-compact integrable spin chains. By introducing an imaginary extensive twist in the Bethe equations, we show that one…

Mathematical Physics · Physics 2020-08-25 Etienne Granet , Jesper Lykke Jacobsen , Hubert Saleur

Using our solution for the open spin-1/2 XXZ quantum spin chain with N spins and two arbitrary boundary parameters at roots of unity, the central charge and the conformal dimensions for bulk hole excitations are derived from the 1/N…

High Energy Physics - Theory · Physics 2009-11-13 Rajan Murgan

We solve in closed form the simplest (su(1|1)) supersymmetric version of Inozemtsev's elliptic spin chain, as well as its infinite (hyperbolic) counterpart. The solution relies on the equivalence of these models to a system of free spinless…

Strongly Correlated Electrons · Physics 2014-12-17 Federico Finkel , Artemio Gonzalez-Lopez

In this paper we study the spectrum of the spin-1 Temperley-Lieb spin chain with integrable open boundary conditions. We obtain the eigenvalue expressions as well as its associated Bethe ansatz equations by means of the coordinate Bethe…

Exactly Solvable and Integrable Systems · Physics 2013-06-25 G. A. P. Ribeiro , A. Lima-Santos

We present a unified approach to the Thermodynamic Bethe Ansatz (TBA) for magnetic chains and field theories that includes the finite size (and zero temperature) calculations for lattice BA models. In all cases, the free energy follows by…

High Energy Physics - Theory · Physics 2019-08-15 C. Destri , H. J. de Vega

We study analytically the corrections to the leading terms in the Renyi entropy of a massive lattice theory, showing significant deviations from naive expectations. In particular, we show that finite size and finite mass effects give rise…

High Energy Physics - Theory · Physics 2012-05-31 Elisa Ercolessi , Stefano Evangelisti , Fabio Franchini , Francesco Ravanini

We study a quantum spin chain invariant by the superalgebra $osp(1|2)$. We derived non-linear integral equations for the row-to-row transfer matrix eigenvalue in order to analyze its finite size scaling behaviour and we determined its…

Exactly Solvable and Integrable Systems · Physics 2017-08-08 T. S. Tavares , G. A. P. Ribeiro

Spin-charge stripes belong to the most prominent low-temperature orders besides superconductivity in high-temperature superconductors. This phase is particularly challenging to study numerically due to finite-size effects. By investigating…

Strongly Correlated Electrons · Physics 2025-12-18 Tizian Blatz , Sebastian Paeckel , Ulrich Schollwöck , Fabian Grusdt , Annabelle Bohrdt

Using the numerical approach for a study of the thermodynamic properties of the nonuniform one-dimensional spin-1/2 isotropic XY model in a transverse field we examine different lattice distortions to reveal which spin-Peierls phases are…

Condensed Matter · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

The paper presents exact calculations of thermodynamic quantities for the spin-1/2 isotropic XY chain with random lorentzian intersite interaction and transverse field that depends linearly on the surrounding intersite interactions.

Disordered Systems and Neural Networks · Physics 2009-10-30 O. Derzhko , J. Richter

Motivated by recent works of Hofman and Maldacena and Dorey we consider a special infinite spin limit of semiclassical spinning string states in AdS5 x S5. We discuss examples of known folded and circular 2-spin string solutions and…

High Energy Physics - Theory · Physics 2009-11-11 J. A. Minahan , A. Tirziu , A. A. Tseytlin

The exactly solvable Lieb-Liniger model of interacting bosons in one-dimension has attracted renewed interest as current experiments with ultra-cold atoms begin to probe this regime. Here we numerically solve the equations arising from the…

Other Condensed Matter · Physics 2009-11-13 Andrew G. Sykes , Peter D. Drummond , Matthew J. Davis

We consider a one-dimensional XX spin chain in a nonequilibrium setting with a Lindblad-type boundary driving. By calculating large deviation rate function in the thermodynamic limit, being a generalization of free energy to a…

Statistical Mechanics · Physics 2014-01-31 Marko Znidaric