A CLASS OF ENERGY LEVELS FOR THE HEISENBERG LINEAR CHAIN. 2. LEVELS NEAR THE ANTIFERRO MAGNETIC GROUND STATE

Abstract

The distribution of 'unbound' states in the Bethe formalism for the linear chain of spin 1/2 atoms with a Heisenbert exchange interaction between nearest neighbors is investigated in the vicinity of the antiferromagnetic ground state, utilizing the spin wave states discovered by des Cloizeaux and Pearson. An upper bound is obtained for the free energy of the anti ferromagnetic chain at very low temperatures. Plausible arguments are presented to show that the 'unbound' states actually make a negligible contribution to the partition function of an infinite chain, at least in the absence of a magnetic field.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1963
Accession Number
AD0404788

Entities

People

  • Robert B. Griffiths

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Atoms
  • Coefficients
  • Eigenvalues
  • Energy
  • Energy Levels
  • Free Energy
  • Government Procurement
  • Governments
  • Ground State
  • Inequalities
  • Integral Equations
  • Intervals
  • Low Temperature
  • Magnetic Fields
  • Spin Waves
  • Thermal Properties
  • United States

Fields of Study

  • Physics

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.