Spin-wave bound-state energies from an Ising model

Journal Article · Fri Dec 31 23:00:00 EST 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.49.1073· OSTI ID:5405811

Aalberts, D P; Berker, A N ^[1]

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1. Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

We study the two-dimensional classical Ising model that is equivalent, via the Suzuki-Trotter mapping, to the [ital XXZ] Heisenberg quantum-spin chain. By imposing appropriate boundary conditions to the Ising model, the spin waves of the quantum model are studied. We reproduce the entire energy spectrum of the two-spin-wave states and derive bound-state energies of the three-spin-wave states. Thus, the continuum energetics of the elementary excitations of a [ital d]-dimensional quantum model are contained in the equivalent ([ital d]+1)-dimensional classical model, even though the latter is a discrete-spin model.

• DOE Contract Number: FG02-92ER45473
• OSTI ID: 5405811
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 49:2; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUND STATE
CRYSTAL MODELS
ENERGY SPECTRA
ISING MODEL
MATHEMATICAL MODELS
SPECTRA
SPIN WAVES
TWO-DIMENSIONAL CALCULATIONS