LONG RANGE ORDER OF A LINEAR ANTIFERROMAGNETIC CHAIN

Abstract

Results of a study made on long range order in the ground state of a linear antiferromagnetic chain are reported. A chain of N identical spin 1/2 particles coupled by the anisotropic Hamiltonian is considered. The periodic boundary conditions are imposed so that the chain may be considered a loop of particles. An operator is introduced, which rotates the particles in the loop so that each particle moves to the next highest site number. It is proved that simultaneous eigenstates have no long range order as previously measured. The ground state of the Hamiltonian is shown to be nondegenerate. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 30, 1962
Accession Number
AD0274471

Entities

People

  • Clyde A. Morrison
  • D. Wortman
  • N. Karayianis

Organizations

  • Harry Diamond Laboratories

Tags

DTIC Thesaurus Topics

  • Atomic Energy Levels
  • Atomic Properties
  • Boundaries
  • Ground State
  • Particles

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.