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We compute the dynamical structure factor of the spin-1/2 triangular Heisenberg model using the mean field Schwinger boson theory. We find that a reconstructed dispersion, resulting from a non trivial redistribution of the spectral weight,…

Strongly Correlated Electrons · Physics 2013-01-16 A. Mezio , C. N. Sposetti , L. O. Manuel , A. E. Trumper

We generalize a class of Heisenberg antiferromagnets in one, two and three dimensions, which have been shown to exhibit magnetization plateaus for spin-1/2. In a certain parameter range of the general model, which is formally defined in D…

Strongly Correlated Electrons · Physics 2009-11-11 V. Ravi Chandra , Naveen Surendran

We consider the interaction-round-a-face version of the isotropic six-vertex model. The associated spin chain is made of two coupled Heisenberg spin chains with different boundary twists. The phase diagram of the model and the long distance…

Mathematical Physics · Physics 2024-09-10 T. S. Tavares , G. A. P. Ribeiro

We address the nature of spin transport in the integrable XXZ spin chain, focusing on the isotropic Heisenberg limit. We calculate the diffusion constant using a kinetic picture based on generalized hydrodynamics combined with Gaussian…

Statistical Mechanics · Physics 2019-04-02 Sarang Gopalakrishnan , Romain Vasseur

We consider the Ferromagnetic-String-Formation-Probability correlation function (FSFP) for the spin-$1\over 2$ Heisenberg XXZ chain. We construct a completely integrable system of integro-difference equations (IDE), which has the FSFP as a…

Condensed Matter · Physics 2009-10-28 F. H. L. Essler , H. Frahm , A. R. Its , V. E. K. Korepin

We study a model of two weakly coupled isotropic spin-1/2 Heisenberg chains with an antiferromagnetic coupling along the chains. It is shown that the system always has a spectral gap. For the case of identical chains the model in the…

Condensed Matter · Physics 2009-10-28 D. G. Shelton , A. A. Nersesyan , A. M. Tsvelik

We study a model of strongly correlated fermions in one dimension with extended N=2 supersymmetry. The model is related to the spin $S=1/2$ XXZ Heisenberg chain at anisotropy $\Delta=-1/2$ with a real magnetic field on the boundary. We…

Strongly Correlated Electrons · Physics 2009-11-10 Matteo Beccaria , Gian Fabrizio De Angelis

We calculate line shapes of correlation functions by use of complete diagonalization data of finite chains and analytical implications from conformal field theory, density of states, and Bethe ansatz. The numerical data have different…

Strongly Correlated Electrons · Physics 2009-11-07 Ralph Werner , Andreas Kluemper

We consider an XXZ spin-1/2 chain in the presence of several types of disorder that do not break the XY symmetry of the system. We calculate the complete asymptotic form of the spin-correlation functions at zero temperature at the…

Statistical Mechanics · Physics 2012-07-16 Zoran Ristivojevic , Aleksandra Petkovic , Thierry Giamarchi

We introduce and apply a numerically exact method for investigating the real-time dissipative dynamics of quantum impurities embedded in a macroscopic environment beyond the weak-coupling limit. We focus on the spin-boson Hamiltonian that…

Strongly Correlated Electrons · Physics 2013-02-04 Peter P. Orth , Adilet Imambekov , Karyn Le Hur

We analyze a model for spin squeezing based on the so-called counter-twisting Hamiltonian, including the effects of dissipation and finite system size. We discuss the conditions under which the Heisenberg limit, i.e. phase sensitivity…

Quantum Physics · Physics 2009-11-07 A. André , M. D. Lukin

Correlation functions of the XXZ spin chain in the critical regime is studied at zero-temperature. They are exactly represented in the Fredholm determinant form and are related with an operator-valued Riemann-Hilbert problem. Analyzing this…

Condensed Matter · Physics 2009-10-31 Yasuhiro Fujii , Miki Wadati

The finite-size scaling spectra of the spin-1/2 XXZ Heisenberg chain with toroidal boundary conditions and an even number of sites provide a projection mechanism yielding the spectra of models with a central charge c<1 including the unitary…

High Energy Physics - Theory · Physics 2015-06-26 Uwe Grimm , Gunter M. Schuetz

Simple models of interacting spins play an important role in physics. They capture the properties of many magnetic materials, but also extend to other systems, such as bosons and fermions in a lattice, systems with gauge fields, high-Tc…

A method is proposed for constructing an exact ground-state wave function of a two-dimensional model with spin 1/2. The basis of the method is to represent the wave function by a product of fourth-rank spinors associated with the sites of a…

Strongly Correlated Electrons · Physics 2009-10-31 D. V. Dmitriev , V. Ya. Krivnov , A. A. Ovchinnikov

We consider the problem of computing form factors of the massless XXZ Heisenberg spin-1/2 chain in a magnetic field in the (thermodynamic) limit where the size M of the chain becomes large. For that purpose, we take the particular example…

High Energy Physics - Theory · Physics 2009-11-19 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

We present an exact diagonalization study of the ground state of the spin-half $J_1{-}J_2$ model. Dimer correlation functions and the susceptibility associated to the breaking of the translational invariance are calculated for the $4\times…

Strongly Correlated Electrons · Physics 2009-11-10 Luca Capriotti , Federico Becca , Alberto Parola , sandro Sorella

In this paper, we calculate entanglement in the isotropic Heisenberg model in a magnetic field on a two-dimensional rectangular zig-zag lattice in the strong rung-coupling limit, using the one-dimensional XXZ model as a proxy. Focusing on…

Quantum Physics · Physics 2024-10-08 Chandrima B. Pushpan , Harikrishnan K. J. , Prithvi Narayan , Amit Kumar Pal

We present a series expansion study of spin-S square-lattice Heisenberg antiferromagnets. The numerical data are in excellent agreement with recent neutron scattering measurements. Our key result is that the correlation length for S>1/2…

Condensed Matter · Physics 2009-10-28 N. Elstner , A. Sokol , R. R. P. Singh , M. Greven , R. J. Birgeneau

Revising the derivation of the previous papers, for the integrable spin-$s$ XXZ chain we express any form factor in terms of a single sum over scalar products of the spin-1/2 XXZ chain. With the revised method we express the spin-$s$ XXZ…

Statistical Mechanics · Physics 2011-03-23 Tetsuo Deguchi , Chihiro Matsui