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Short-time critical dynamics for the transverse ising model.

M Santos1

  • 1Departamento de Física, Universidade Federal de Santa Catarina, 88040-900 Florianópolis, SC, Brazil. marcio@fiscia.ufsc.br

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary

We analyzed critical behavior in a quantum Ising model using Monte Carlo simulations. This study determined static and dynamic critical exponents, with dynamic exponent values being novel for this quantum spin model.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • The quantum transverse Ising model is a fundamental model in condensed matter physics.
  • Understanding critical phenomena and dynamics is crucial for characterizing quantum phase transitions.

Purpose of the Study:

  • To investigate the short-time critical behavior of the one-dimensional quantum transverse Ising model.
  • To determine the static critical exponents (beta, nu) and the dynamical critical exponent (z).

Main Methods:

  • Monte Carlo simulations were employed at zero temperature.
  • Scaling relations for early-time dynamics were utilized to extract critical exponents.

Main Results:

  • Static critical exponents (beta, nu) were found to be in agreement with exact solutions.

Related Experiment Videos

  • The dynamical critical exponent (z) was successfully determined for this quantum spin model.

    • Conclusions:

    • The study validates the use of short-time scaling analysis for quantum critical behavior.
    • This work provides the first determination of the dynamical critical exponent for this specific quantum spin model, offering new insights into its dynamic properties.