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We combine Bethe Ansatz and field theory methods to study the longitudinal dynamical structure factor S^{zz}(q,omega) for the anisotropic spin-1/2 chain in the gapless regime. Using bosonization, we derive a low energy effective model,…

Strongly Correlated Electrons · Physics 2009-11-13 R. G. Pereira , J. Sirker , J. -S. Caux , R. Hagemans , J. M. Maillet , S. R. White , I. Affleck

We consider the one-dimensional Ising-like fully anisotropic S=1/2 Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain wall excitations in the presence of transverse magnetic field $h_x$. We obtain dynamical spin…

Strongly Correlated Electrons · Physics 2009-11-07 Asimkumar Ghosh

We derive an approximate theory for Heisenberg spin ladders with two legs by mapping the spin dynamics onto the problem of hard-core `bond-Bosons'. The parameters of the Bosonic Hamiltonian are obtained by matching anomalous Green's…

Strongly Correlated Electrons · Physics 2009-10-30 R. Eder

Inelastic neutron scattering is employed to study transverse spin correlations of a Heisenberg $S=1/2$ chain compound in a magnetic field of 7.5 T. The target compound is the antiferromagnetic Heisenberg $S=1/2$ chain material…

Strongly Correlated Electrons · Physics 2015-09-18 M. Hälg , D. Hüvonen , N. P. Butch , F. Demmel , A. Zheludev

Correlation functions of dimer operators, the product operators of spins on two adjacent sites, are studied in the spin-$\frac{1}{2}$ XXZ chain in the critical regime. The amplitudes of the leading oscillating terms in the dimer correlation…

Strongly Correlated Electrons · Physics 2017-10-31 Toshiya Hikihara , Akira Furusaki , Sergei Lukyanov

In this paper we reexamine the problem of the separation of spin and charge degrees of freedom in two dimensional strongly correlated systems. We establish a set of sufficient conditions for the occurence of spin and charge separation.…

Condensed Matter · Physics 2009-10-22 Christopher Mudry , Eduardo Fradkin

We study gapless quantum spin chains with spin 1/2 and 1: the Fredkin and Motzkin models. Their entangled groundstates are known exactly but not their excitation spectra. We first express the groundstates in the continuum which allows for…

Strongly Correlated Electrons · Physics 2017-10-25 Xiao Chen , Eduardo Fradkin , William Witczak-Krempa

We report a neutron scattering study of the instantaneous spin correlations in the two-dimensional spin S=5/2 square-lattice Heisenberg antiferromagnet Rb_2MnF_4. The measured correlation lengths are quantitatively described, with no…

Strongly Correlated Electrons · Physics 2009-10-31 Y. S. Lee , M. Greven , B. O. Wells , R. J. Birgeneau , G. Shirane

For the integrable spin-s XXZ chain we express explicitly any given spin-$s$ form factor in terms of a sum over the scalar products of the spin-1/2 operators. Here they are given by the operator-valued matrix elements of the monodromy…

Statistical Mechanics · Physics 2015-05-28 Tetsuo Deguchi

An evolution equation for the expectation values of the Boltzmann factor between monomer valence bond states is derived. It contains the whole information on the thermodynamical and magnetic properties of the spin $\frac{1}{2}$ quantum…

Condensed Matter · Physics 2008-02-03 K. -H. Mütter

The spectrum of the integrable spin-S Heisenberg chains is completely characterized in terms of spin-1/2 spinons. In the continuum limit they form a quasi-particle basis to the higher level SU(2) Wess-Zumino-Witten (WZW) models. Enumerating…

Condensed Matter · Physics 2009-10-31 Holger Frahm , Martin Stahlsmeier

The exact amplitude for the asymptotic correlation function in the S=1/2 Heisenberg antiferromagnetic chain is determined: <S^a_0 S^b_r> goes to (-1)^r delta^{ab}(ln r)^{1/2}/[(2 pi)^{3/2}r]. The behaviour of the correlation functions for…

Strongly Correlated Electrons · Physics 2009-10-31 Ian Affleck

The equilibrium dynamics of the spin-1/2 XX chain is re-examined within a recently developed formalism based on the quantum transfer matrix and a thermal form factor expansion. The transversal correlation function is evaluated in real time…

Statistical Mechanics · Physics 2019-10-29 Frank Göhmann , Karol K. Kozlowski , Jesko Sirker , Junji Suzuki

The free energy and correlation lengths of the spin-1/2 $XYZ$ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented…

Condensed Matter · Physics 2009-10-22 Andreas Klümper

Using algebraic Bethe ansatz and the solution of the quantum inverse scattering problem, we compute compact representations of the spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field. At lattice distance m,…

High Energy Physics - Theory · Physics 2011-07-19 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

We obtain a new multiple integral representation for the spin-spin correlation functions of the XXZ spin-1/2 infinite chain. We show that this representation is closely related with the partition function of the six-vertex model with domain…

High Energy Physics - Theory · Physics 2016-09-06 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

Two-dimensional Heisenberg model with anisotropic couplings in the $x$ and $y$ directions ($J_x \neq J_y$) is considered. The model is first solved in the Schwinger-boson mean-field approximation. Then the solution is Gutzwiller projected…

Condensed Matter · Physics 2009-10-22 T. Miyazaki , D. Yoshioka , M. Ogata

Using a collective-mode Monte Carlo method (the Wolff-Swendsen-Wang algorithm), we compute the spin-stiffness of the two-dimensional classical Heisenberg model. We show that it is the relevant physical quantity to investigate the behaviour…

Condensed Matter · Physics 2009-10-22 Michel Caffarel , Patrick Azaria , Bertrand Delamotte , Dominique Mouhanna

We demonstrate that the concept of quantum typicality allows for significant progress in the study of real-time spin dynamics and transport in quantum magnets. To this end, we present a numerical analysis of the spin-current autocorrelation…

Strongly Correlated Electrons · Physics 2014-03-31 Robin Steinigeweg , Jochen Gemmer , Wolfram Brenig

The form factor bootstrap approach is used to compute the exact contributions in the large distance expansion of the correlation function $<\sigma(x) \sigma(0)>$ of the two-dimensional Ising model in a magnetic field at $T=T_c$. The matrix…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo
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