Excitation spectrum gap and spin-wave velocity of XXZ Heisenberg chains: Global renormalization-group calculation

  title={Excitation spectrum gap and spin-wave velocity of XXZ Heisenberg chains: Global renormalization-group calculation},
  author={Ozan S. Sarıyer and A. Nihat Berker and Michael Hinczewski},
  journal={Physical Review B},
The anisotropic XXZ spin-1/2 Heisenberg chain is studied using renormalization-group theory. The specific heats and nearest-neighbor spin-spin correlations are calculated thoughout the entire temperature and anisotropy ranges in both ferromagnetic and antiferromagnetic regions, obtaining a global description and quantitative results. We obtain, for all anisotropies, the antiferromagnetic spin-liquid spin-wave velocity and the Isinglike ferromagnetic excitation spectrum gap, exhibiting the spin… 
Two-dimensional quantum-spin-1/2 XXZ magnet in zero magnetic field: Global thermodynamics from renormalisation group theory
ABSTRACT Phase diagram, critical properties and thermodynamic functions of the two-dimensional field-free quantum-spin-1/2 XXZ model has been calculated globally using a numerical renormalisation
Field-free quantum-spin-1/2 XXZ model in three-dimensions:phases, phase transitions, and phase diagrams by renormalization group theory
The field-free quantum-spin-1/2 XXZ model is studied in three-dimensions using renormalization group theory. We obtain global phase diagrams and critical properties. We identify zero-temperature
Influence of next-nearest neighbor interaction on low temperature properties of the spin-1/2 one-dimensional ferromagnetic XY model
In this paper, we apply spin-wave theory to the one-dimensional spin-1/2 ferromagnetic XY model with the next-nearest neighbor interaction. The thermodynamic divergences which the conventional
Specific Heat of the 1D Spin-1/2 Ising Model with Added Dzyaloshinskii–Moriya Interaction
The 1D spin-1/2 Ising model in a uniform magnetic field with added the Dzyaloshinskii–Moriya (DM) interaction is considered. The energy spectrum is obtained using the fermionization approach and


Integrability of quantum chains: theory and applications to the spin-1/2 $XXZ$ chain
In this contribution we review the theory of integrability of quantum systems in one spatial dimension. We introduce the basic concepts such as the Yang-Baxter equation, commuting currents, and the
Thermodynamics of One-Dimensional Solvable Models
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Competition of Ferromagnetic and Antiferromagnetic Order in the Spin-1/2 XXZ Chain at Finite Temperature
An analytical study is presented of the crossover in the gapless attractive XXZ chain from antiferromagnetic to ferromagnetic behaviour at low to high temperature, respectively. In particular, an
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