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Quantum magnets with anisotropic infinite range random interactions.

Liliana Arrachea1, Marcelo J Rozenberg

  • 1Departamento de Física, FCEN, Universidad de Buenos Aires, Ciudad Universitaria Pab.1, 1428 Buenos Aires, Argentina. lili@df.uba.ar

Biophysical Chemistry
|March 9, 2005
PubMed
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This study investigates the quantum spin glass model, exploring its dynamical response and key parameters like the Edwards-Anderson order parameter at zero temperature. Researchers analyzed how anisotropy affects the system, transitioning from Ising to Heisenberg limits.

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • The Sherrington-Kirkpatrick (SK) model is a foundational classical spin glass model.
  • Understanding quantum generalizations of spin glasses is crucial for complex magnetic phenomena.

Purpose of the Study:

  • To investigate the dynamical response of the anisotropic disordered Heisenberg model at zero temperature.
  • To analyze the behavior of the Edwards-Anderson order parameter and energy per spin.
  • To study the evolution of the model from Ising to Heisenberg limits.

Main Methods:

  • Exact diagonalization techniques were employed.
  • The study focused on systems of S=1/2 spins with infinite-range random exchange interactions.
  • Dynamical response, Edwards-Anderson order parameter, and energy per spin were computed.

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Main Results:

  • The dynamical response of the anisotropic disordered Heisenberg model was characterized at T=0.
  • The study provides insights into the quantum spin glass behavior.
  • The evolution of the Edwards-Anderson order parameter and energy per spin with anisotropy was detailed.

Conclusions:

  • The anisotropic disordered Heisenberg model serves as a quantum generalization of the SK model.
  • The findings contribute to the understanding of quantum magnetism and spin glass phases.
  • The research highlights the impact of anisotropy on magnetic properties.