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In this first paper, we start the analysis of correlation functions of quantum spin chains with general integrable boundary conditions. We initiate these computations for the open XXX spin 1/2 quantum chains with some unparallel magnetic…

Mathematical Physics · Physics 2025-09-30 G. Niccoli

The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the…

Statistical Mechanics · Physics 2012-12-27 J. Strecka , M. Hagiwara , Y. Han , T. Kida , Z. Honda , M. Ikeda

We consider the problem of a central spin with arbitrary spin s that interacts pairwise and uniformly with a bath of N spins with s=1/2. We present two approaches for determining the exact spectrum of this model, one based on properties of…

Quantum Physics · Physics 2018-11-14 Rafael I. Nepomechie , Xi-Wen Guan

Quantum integrable models that possess $N=2$ supersymmetry are investigated on the half-space. Conformal perturbation theory is used to identify some $N=2$ supersymmetric boundary integrable models, and the effective boundary…

High Energy Physics - Theory · Physics 2011-07-19 N. P. Warner

Using equivalencies between different models we reduce the model of two spin-1/2 Heisenberg chains crossed at one point to the model of free fermions. The spin-spin correlation function is calculated by summing the perturbation series in…

Strongly Correlated Electrons · Physics 2009-11-11 S. A. Reyes , A. M. Tsvelik

We report a neutron scattering study of the spin correlations for the spin 5/2, two-dimensional antiferromagnet Rb_2MnF_4 in an external magnetic field. Choosing fields near the system's bicritical point, we tune the effective anisotropy in…

Strongly Correlated Electrons · Physics 2009-10-31 R. L. Leheny , R. J. Christianson , R. J. Birgeneau , R. W. Erwin

We study the Heisenberg spin-1/2 model on a semi-infinite chain - or, equivalently, a trotterized unitary SU(2) symmetric six-vertex quantum circuit - with a boundary defect where the interaction between the two spins nearest the edge…

Statistical Mechanics · Physics 2026-03-19 Tomaž Prosen

Non-magnetic impurities in an S=1/2 Heisenberg antiferromagnetic chain are studied using boundary conformal field theory techniques and finite-temperature quantum Monte Carlo simulations. We calculate the static structure function,…

Condensed Matter · Physics 2009-10-28 Sebastian Eggert , Ian Affleck

We study integrable open boundary conditions for d(2,1;\alpha)^2 and psu(1,1|2)^2 spin-chains. Magnon excitations of these open spin-chains are mapped to massive excitations of type IIB open superstrings ending on D-branes in the AdS_3 x…

High Energy Physics - Theory · Physics 2015-12-18 Andrea Prinsloo , Vidas Regelskis , Alessandro Torrielli

The 2D Hubbard model is extended by placing 2S orbitals at each lattice site and studied in a systematic 1/S expansion. The 1/S results for the magnetic susceptibility and the spectra of spin-wave excitations at half-filling are consistent…

Condensed Matter · Physics 2009-10-22 A. V. Chubukov , K. A. Musaelian

The spin-1/2 Heisenberg chain exhibits a quantum critical regime characterized by quasi long-range magnetic order at zero temperature. We quantify the strength of quantum fluctuations in the ground state by determining the probability…

Statistical Mechanics · Physics 2017-10-11 Mario Collura , Fabian H. L. Essler , Stefan Groha

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 consider the integrable family of symmetric boundary-driven interacting particle systems that arise from the non-compact XXX Heisenberg model in one dimension with open boundaries. In contrast to the well-known symmetric exclusion…

Mathematical Physics · Physics 2024-05-27 Rouven Frassek , Cristian Giardinà

In this article, we study the one dimensional Heisenberg spin-1/2 alternating bond chain in which the nearest neighbor exchange couplings are ferromagnetic (FM) and antiferromagnetic (AF) alternatively. By using exact diagonalization and…

Strongly Correlated Electrons · Physics 2009-11-10 Hsiang-Hsuan Hung , Chang-De Gong

We investigate a spin-1/2 antiferromagnetic chain with trimerized exchange couplings relevant to Na$_2$Cu$_3$Ge$_4$O$_{12}$. We show that the low-energy Hilbert space maps onto an effective Heisenberg chain of composite spin-1/2 trimer…

Strongly Correlated Electrons · Physics 2026-05-26 Snehasish Sen , Sudhansu S. Mandal

A systematic perturbation theory is developed for the ESR shift and is applied to the spin-1/2 Heisenberg chain. Using the Bethe ansatz technique, we exactly analyze the resonance shift in the first order of perturbative expansion with…

Statistical Mechanics · Physics 2009-11-11 Y. Maeda , K. Sakai , M. Oshikawa

Carbon-based nanostructures possessing {\pi}-electron magnetism have attracted tremendous interest due to their great potential for nano spintronics. In particular, quantum chains with magnetic molecular units synthesized by on-surface…

An exact description of integrable spin chains at finite temperature is provided using an elementary algebraic approach in the complete Hilbert space of the system. We focus on spin chain models that admit a description in terms of free…

Quantum Physics · Physics 2021-07-20 Michał Białończyk , Fernando Javier Gómez-Ruiz , Adolfo del Campo

We investigate theoretically the spiral staircase Heisenberg spin-$1/2$ ladder in the presence of antiferromagnetic long-range spin interactions and a uniform magnetic field. As a special case we also consider the Kondo necklace model. If…

Strongly Correlated Electrons · Physics 2022-04-21 Flavio Ronetti , Daniel Loss , Jelena Klinovaja

We have carried out extensive series studies, at T=0 and at high temperatures, of 2-chain and 3-chain spin-half ladder systems with antiferromagnetic intrachain and both antiferromagnetic and ferromagnetic interchain couplings. Our results…

Condensed Matter · Physics 2009-10-28 J. Oitmaa , Rajiv R. P Singh , Zheng Weihong
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