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Ground states for nonuniform periodic Ising chains.

J P Martínez-Garcilazo1, C Ramírez1

  • 1Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias Físico Matemáticas, P.O. Box 165, 72000 Puebla, México.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 15, 2015
PubMed
Summary
This summary is machine-generated.

This study extends Morita

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Quantum Many-Body Systems

Background:

  • Generalizing foundational work on Ising chains.
  • Investigating ground states in periodic spin systems.

Purpose of the Study:

  • Extend Morita's Ising chain ground state analysis.
  • Consider periodic structures and diverse spins up to any interaction order.

Main Methods:

  • Applying the translational invariance assumption.
  • Analyzing irreducible block lengths relative to chain periodicity.
  • Investigating parity invariance effects.

Main Results:

  • Generalization of ground state properties for periodic Ising chains.
  • Identification of conditions for degenerated and nonregular ground states.
  • Demonstration with specific examples and ground state diagrams.

Conclusions:

  • The framework successfully generalizes ground state analysis for complex periodic spin chains.
  • Periodic structures and symmetries significantly influence ground state degeneracy and regularity.