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This work concerns the dynamical two-point spin correlation functions of the transverse Ising quantum chain at finite (non-zero) temperature, in the universal region near the quantum critical point. They are correlation functions of twist…

Mathematical Physics · Physics 2009-11-13 Benjamin Doyon , Adam Gamsa

We consider the finite-temperature frequency and momentum dependent two-point functions of local operators in integrable quantum field theories. We focus on the case where the zero temperature correlation function is dominated by a…

Strongly Correlated Electrons · Physics 2015-05-13 F. H. L. Essler , R. M. Konik

Multisite interaction spin-S models in an external magnetic field are studied recursively on the Bethe-like lattices. The transfer-matrix method is extended to calculate exactly the two-spin correlation functions. The exact expressions for…

Statistical Mechanics · Physics 2009-10-31 R. G. Ghulghazaryan

The density-matrix renormalization-group technique is used to calculate the spin correlation functions <S^x_jS^x_k> and <S^z_jS^z_k> of the one-dimensional S=1/2 XXZ model in the gapless regime. The numerical results for open chains of 200…

Statistical Mechanics · Physics 2009-10-31 T. Hikihara , A. Furusaki

We formulate the thermodynamic Bethe Ansatz (TBA) equations for the closed (periodic boundary conditions) $A^{(2)}_2$ quantum spin chain in an external magnetic field, in the (noncritical) regime where the anisotropy parameter $\eta$ is…

High Energy Physics - Theory · Physics 2009-10-22 Luca Mezincescu , Rafael I. Nepomechie , P. K. Townsend , A. M. Tsvelik

The thermodynamic limit of the dynamical density and spin-density two-point correlation functions for the spin Calogero-Sutherland model are derived from Uglov's finite-size results. The resultant formula for the density two-point…

Strongly Correlated Electrons · Physics 2008-11-26 Takashi Yamamoto , Mitsuhiro Arikawa

We explain how to compute correlation functions at zero temperature within the framework of the quantum version of the Separation of Variables (SoV) in the case of a simple model: the XXX Heisenberg chain of spin 1/2 with twisted…

Mathematical Physics · Physics 2021-01-13 G. Niccoli , H. Pei , V. Terras

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

Motivated by recent investigations of transport properties of strongly correlated 1d models and thermal conductivity measurements of quasi 1d magnetic systems we present results for the integrable spin-1/2 $XXZ$ chain. The thermal…

Statistical Mechanics · Physics 2019-12-20 Andreas Kluemper , Kazumitsu Sakai

We calculate the long time and distance asymptotics of the one-particle correlation functions in the model of impenetrable spin 1/2 fermions in 1+1 dimensions. We consider the spin disordered zero temperature regime, which occurs when the…

Strongly Correlated Electrons · Physics 2009-11-10 Vadim V Cheianov , M B Zvonarev

Anomalous magnetothermal effects are discussed in the spin-1/2 Heisenberg chain. The energy current is related to one of the non-trivial conserved quantities underlying integrability and therefore both the diagonal and off diagonal…

Statistical Mechanics · Physics 2015-06-24 Kazumitsu Sakai , Andreas Klumper

We consider an exactly solvable version of the quantum spin-1/2 orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer couplings. The investigated quantum spin system exhibits at zero temperature fractional plateaux at…

Statistical Mechanics · Physics 2014-10-21 T. Verkholyak , J. Strecka

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

We study zero temperature correlation functions of the spin-$1\over 2$ Heisenberg XXZ model in the critical regime $-1< \Delta\leq 1$ in a magnetic field by means of the {\tenit Dual Field Approach}. We show for one particular example how…

solv-int · Physics 2008-02-03 Fabian H. L. Essler , Vladimir E. Korepin

We present a Green's-function theory of magnetic short-range order in the $S=1/2$ easy-plane XXZ chain based on the projection method for the dynamic spin susceptibility and a decoupling of three-spin operator products introducing vertex…

Strongly Correlated Electrons · Physics 2009-10-31 C. Schindelin , H. Fehske , H. Büttner , D. Ihle

We communicate results on correlation functions for the spin-1/2 Heisenberg-chain in two particularly important cases: (a) for the infinite chain at arbitrary finite temperature $T$, and (b) for finite chains of arbitrary length $L$ in the…

Strongly Correlated Electrons · Physics 2016-06-06 Jun Sato , Britta Aufgebauer , Hermann Boos , Frank Göhmann , Andreas Klümper , Minoru Takahashi , Christian Trippe

The zero-temperature dynamical spin-spin correlation functions are calculated for the spin-1/2 two-leg Heisenberg ladder in a magnetic field above the lower critical field Hc1. The dynamical structure factors are calculated which exhibit…

Strongly Correlated Electrons · Physics 2009-10-31 A. Furusaki , S. C. Zhang

This work develops a rigorous setting allowing one to prove several features related to the behaviour of the Heisenberg-Ising (or XXZ) spin-$1/2$ chain at finite temperature $T$. Within the quantum inverse scattering method the physically…

Mathematical Physics · Physics 2024-06-18 Frank Göhmann , Salvish Goomanee , Karol K. Kozlowski , Junji Suzuki

In this paper we continue the investigation of an anisotropic integrable spin chain, consisting of spins $s=1$ and $s=\frac{1}{2}$, started in our paper \cite{meissner}. The thermodynamic Bethe ansatz is analysed especially for the case,…

High Energy Physics - Theory · Physics 2008-11-26 B. -D. Doerfel , St. Meissner

Using the Bethe ansatz method and the TBA equations for the higher spin integrable XXZ chain, the regular zero frequency contribution to the spin current correlation (spin dc conductivity) is analyzed for the spin-1/2 XXZ chain with an…

Statistical Mechanics · Physics 2024-04-30 Shinya Ae