Accession Number : AD0274471

Title :   LONG RANGE ORDER OF A LINEAR ANTIFERROMAGNETIC CHAIN

Corporate Author : HARRY DIAMOND LABS WASHINGTON D C

Personal Author(s) : MORRISON,CLYDE A. ; KARAYIANIS,N. ; WORTMAN,D.

Report Date : 30 MAR 1962

Pagination or Media Count : 1

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)

Descriptors :   *ANTIFERROMAGNETISM, *MAGNETIC PROPERTIES, *NUCLEAR SPINS, CRYSTAL LATTICES, LINEAR SYSTEMS, MATRICES(MATHEMATICS), MEASUREMENT, OPERATORS (MATHEMATICS), PARTICLES, QUANTUM THEORY, TRANSFORMATIONS (MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE