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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

A cluster of spins $1/2$ of a finite size can be regarded as a basic building block of a spin texture in high-temperature cuprate superconductors. If this texture has the character of a network of weakly coupled spin clusters, then spin…

Superconductivity · Physics 2018-09-17 Oleg Lychkovskiy , Boris V. Fine

We derive a master equation for the dynamical spin-spin correlation functions of the XXZ spin-1/2 Heisenberg finite chain in an external magnetic field. In the thermodynamic limit, we obtain their multiple integral representation.

High Energy Physics - Theory · Physics 2009-11-10 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

We study magnetization transport in anisotropic spin-$1/2$ chains governed by the integrable XXZ model with and without integrability-breaking perturbations at high temperatures ($T\to \infty$) using a hybrid approach that combines exact…

Strongly Correlated Electrons · Physics 2018-08-17 Ramsés J. Sánchez , Vipin Kerala Varma , Vadim Oganesyan

We consider the non-equilibrium time evolution of piecewise homogeneous states in the XXZ spin-1/2 chain, a paradigmatic example of an interacting integrable model. The initial state can be thought as the result of joining chains with…

Statistical Mechanics · Physics 2016-11-28 Bruno Bertini , Mario Collura , Jacopo De Nardis , Maurizio Fagotti

The ground state and thermodynamic properties of spin-1 and spin-3/2 chains are investigated via exactly solved su(3) and su(4) models with physically motivated chemical potential terms. The analysis involves the Thermodynamic Bethe Ansatz…

Statistical Mechanics · Physics 2011-02-16 M. T. Batchelor , X. -W. Guan , N. Oelkers , A. Foerster

We investigate a quantum nonrelativistic system describing the interaction of two particles with spin 1/2 and spin 0, respectively. We assume that the Hamiltonian is rotationally invariant and parity conserving and identify all such systems…

Mathematical Physics · Physics 2015-06-11 Jean-Francois Desilets , Pavel Winternitz , Ismet Yurdusen

It was recently shown that, for central spin-1/2 and central spin-1, the XX central spin model is integrable in the presence of a magnetic field oriented perpendicular to the XY plane in which the coupling exists. In the spin-1/2 case, it…

Mesoscale and Nanoscale Physics · Physics 2024-07-04 Eric De Nadai , Nathan Maestracci , Alexandre Faribault

We investigate different one-dimensional quantum spin-1/2 chain models and by combining analytical and numerical calculations prove that their ground state wave functions in the natural spin basis are multifractals with, in general,…

Statistical Mechanics · Physics 2012-05-22 Yasar Yilmaz Atas , Eugene Bogomolny

We investigate the zero-temperature and the finite-temperature properties of the two-dimensional antiferromagnetic quantum spin system composed of the s=1/2 and s=1 spins. The spin excitation spectrum as well as the thermodynamic quantities…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Takushima , A. Koga , N. Kawakami

We consider thermodynamic properties, e.g. specific heat, magnetic susceptibility, of alternating Heisenberg spin chains. Due to a hidden Ising symmetry these chains can be decomposed into a set of finite chain fragments. The problem of…

Strongly Correlated Electrons · Physics 2009-10-30 H. Niggemann , G. Uimin , J. Zittartz

We study the entanglement entropies in one-dimensional open critical systems, whose effective description is given by a conformal field theory with boundaries. We show that for pure-state systems formed by the ground state or by the excited…

Statistical Mechanics · Physics 2013-09-02 L. Taddia , J. C. Xavier , F. C. Alcaraz , G. Sierra

We study the time evolution of correlation functions, spin current, and local magnetization in an isolated spin-1/2 chain initially prepared in a sharp domain wall state. The results are compared with the level of spatial delocalization of…

Statistical Mechanics · Physics 2015-05-28 Lea F. Santos , Aditi Mitra

We present a spin-1 chain with a Hamiltonian which has three exactly solvable ground states. Two of these are fully dimerized, analogous to the Majumdar-Ghosh (MG) states of a spin-1/2 chain, while the third is of the…

Strongly Correlated Electrons · Physics 2015-06-25 Diptiman Sen , Naveen Surendran

In this work, we investigate an exactly solvable two-leg spin ladder with three-spin interactions. We obtain analytically the finite-size corrections of the low-lying energies and determine the central charge as well as the scaling…

Statistical Mechanics · Physics 2012-08-30 D. Eloy , J. C. Xavier

This report concerns the energy of a zero-temperature many-body system of spin 1/2 fermions in the unitary limit. In a previous report (arXiv:0705.0944) this energy was determined to be xi~0.24 in units of the free gas kinetic energy,…

Nuclear Theory · Physics 2008-02-08 H. S. Kohler

An anisotropic integrable spin chain, consisting of spins $s=1$ and $s=\frac{1}{2}$, is investigated \cite{devega}. It is characterized by two real parameters $\bar{c}$ and $\tilde{c}$, the coupling constants of the spin interactions. For…

High Energy Physics - Theory · Physics 2014-11-18 St. Meissner , B. -D. Doerfel

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

We introduce a Hamiltonian for two interacting $su(2)$ spins. We use a mean-field analysis and exact Bethe ansatz results to investigate the ground-state properties of the system in the classical limit, defined as the limit of infinite spin…

Exactly Solvable and Integrable Systems · Physics 2013-12-03 Eduardo Mattei , Jon Links

Quantum Monte Carlo and density-matrix renormalization group methods are used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter…

Strongly Correlated Electrons · Physics 2009-11-11 Y. Ohta , T. Nakaegawa , S. Ejima