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We elaborate in more details why lattice calculation in [Kolanovic et al, Phys. Rev. D 62, 025021 (2000)] was done correctly and argue that incresing the number of sites is not expected to change our conclusions on the mass spectrum.

高能物理 - 理论 · 物理学 2009-11-10 M. Kolanovic , S. Pallua , P. Prester

The Bethe ansatz equations for the spin 1/2 Heisenberg XXZ spin chain are numerically solved, and the energy eigenvalues are determined for the anti-ferromagnetic case. We examine the relation between the XXZ spin chain and the Thirring…

高能物理 - 理论 · 物理学 2009-11-10 T. Fujita , T. Kobayashi , M. Hiramoto , H. Takahashi

The scaling limit of the Heisenberg XXZ spin chain at zero magnetic field is studied in the gapped antiferromagnetic phase. For a spin-chain ring having $N_x$ sites, the universal Casimir scaling function, which characterises the leading…

统计力学 · 物理学 2020-03-11 S. B. Rutkevich

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…

数学物理 · 物理学 2024-06-18 Frank Göhmann , Salvish Goomanee , Karol K. Kozlowski , Junji Suzuki

In this paper, we study the spin and energy dynamic correlations of the one dimensional spin 1/2 Heisenberg model, using mostly exact diagonalization numerical techniques. In particular, observing that the uniform spin and energy currents…

强关联电子 · 物理学 2009-10-30 F. Naef , X. Zotos

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal…

统计力学 · 物理学 2008-11-26 Kazumitsu Sakai

We investigate the presence of multipartite entanglement in macroscopic spin chains. We discuss the Heisenberg and the XY model and derive bounds on the internal energy for systems without multipartite entanglement. Based on this we show…

量子物理 · 物理学 2007-05-23 Otfried Guehne , Geza Toth , Hans J. Briegel

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…

高能物理 - 理论 · 物理学 2015-06-26 Uwe Grimm , Gunter M. Schuetz

We consider here the massive Thirring model regularized with the XYZ spin chain. We numerically calculate the mass ratios of particles which lie in the discrete part of the spectrum and obtain results in accordance with the DHN formula and…

高能物理 - 理论 · 物理学 2009-10-31 Marko Kolanovic , Silvio Pallua , Predrag Prester

We study the low energy spectrum of the nearest neighbor Heisenberg model on a square lattice as a function of the total spin S. By quantum Monte Carlo simulation we compute this spectrum for the s=1/2, s=1 and s=3/2 Heisenberg models. We…

凝聚态物理 · 物理学 2009-10-30 C. Lavalle , S. Sorella , A. Parola

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.

高能物理 - 理论 · 物理学 2009-11-10 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

We consider the XXZ model for a chain of particles whose spins are arbitrary with the anisotropy parameter equal to the root of minus one and generalized periodic boundary conditions. The conditions for the truncation of the functional…

高能物理 - 理论 · 物理学 2007-05-23 S. Yu. Gubanov

We consider the limit of strong Coulomb attraction for generalized Hubbard models with $\eta$-symmetry. In this limit these models are equivalent to the ferromagnetic spin-1/2 Heisenberg quantum spin chain. In order to study the behaviour…

凝聚态物理 · 物理学 2009-10-22 G. Albertini , V. E. Korepin , A. Schadschneider

The scaling limit of the less than half filled attractive Hubbard chain is studied. This is a continuum limit in which the particle number per lattice site, n, is kept finite (0<n<1) while adjusting the interaction and bandwidth in a such…

强关联电子 · 物理学 2009-10-31 F. Woynarovich , P. Forgacs

In a recent letter [Phys. Rev. Lett. 89, 156603 (2002); cond-mat/0201300], Alvarez and Gros have numerically analyzed the Drude weight for thermal transport in spin ladders and frustrated chains of up to 14 sites and have proposed that it…

强关联电子 · 物理学 2007-05-23 F. Heidrich-Meisner , A. Honecker , D. C. Cabra , W. Brenig

We have numerically studied the thermodynamic properties of the spin 1/2 XXZ chain in the presence of a transverse (non commuting) magnetic field. The thermal, field dependence of specific heat and correlation functions for chains up to 20…

强关联电子 · 物理学 2009-11-13 M. Siahatgar , A. Langari

We consider an S=1 Heisenberg chain with strong exchange (Delta) and single--ion uniaxial anisotropy (D) in a magnetic field (B) along the symmetry axis. The low energy spectrum is described by an effective S=1/2 XXZ model that acts on two…

强关联电子 · 物理学 2009-11-13 Pinaki Sengupta , Cristian D. Batista

We study the boundary free energy of the XXZ spin-$\tf{1}{2}$ chain subject to diagonal boundary fields. We first show that the representation for its finite Trotter number approximant obtained by Bortz, Frahm and G\"{o}hmann is related to…

可精确求解与可积系统 · 物理学 2015-06-03 K. K. Kozlowski , B. Pozsgay

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…

凝聚态物理 · 物理学 2009-10-22 Andreas Klümper

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…

高能物理 - 理论 · 物理学 2009-11-19 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras
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