Effect of quantum fluctuations in an Ising system on small-world networks

Hangmo Yi, Mahn-Soo Choi

Research output: Contribution to journalArticle

Abstract

We study quantum Ising spins placed on small-world networks. A simple model is considered in which the coupling between any given pair of spins is a nonzero constant if they are linked in the small-world network, and zero otherwise. By applying a transverse magnetic field, we have investigated the effect of quantum fluctuations. Our numerical analysis shows that the quantum fluctuations do not alter the universality class at the ferromagnetic phase transition, which is of the mean-field type. The transition temperature is reduced by the quantum fluctuations and eventually vanishes at the critical transverse field [Formula presented] With increasing rewiring probability, [Formula presented] is shown to be enhanced.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume67
Issue number5
DOIs
Publication statusPublished - 2003 Jan 1
Externally publishedYes

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Quantum Fluctuations
Small-world Network
Ising
Transverse
Mean Field
Universality
numerical analysis
Numerical Analysis
Vanish
Phase Transition
Magnetic Field
transition temperature
Zero
magnetic fields
Model

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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