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Author Barnes, T. ♦ Riera, J. ♦ Tennant, D. A.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ CHAINS ♦ HEISENBERG MODEL ♦ ANTIFERROMAGNETISM ♦ MAGNONS ♦ GROUND STATES ♦ ENERGY GAP ♦ ANALYTICAL SOLUTION ♦ PERTURBATION THEORY ♦ STRONTIUM OXIDES ♦ COPPER OXIDES ♦ TUNGSTEN OXIDES ♦ VANADIUM OXIDES ♦ SODIUM OXIDES ♦ GERMANIUM OXIDES ♦ WATER ♦ PHOSPHORUS OXIDES
Abstract In this paper we present results for the ground state and low-lying excitations of the S=1/2 alternating Heisenberg antiferromagnetic chain. Our more conventional techniques include perturbation theory about the dimer limit and numerical diagonalization of systems of up to 28 spins. An application of multiple precision numerical diagonalization allows us to determine analytical perturbation series to high order; the results found using this approach include ninth-order perturbation series for the ground state energy and one magnon gap. We also determine the fifth-order dispersion relation and third-order exclusive neutron scattering structure factor for one-magnon modes and numerical and analytical binding energies of S=0 and S=1 two-magnon bound states. {copyright} {ital 1999} {ital The American Physical Society}
ISSN 01631829
Educational Use Research
Learning Resource Type Article
Publisher Date 1999-05-01
Publisher Place United States
Journal Physical Review, B: Condensed Matter
Volume Number 59
Issue Number 17


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