Reply to Comment on Dynamic correlations in a classical two-dimensional Heisenberg antiferromagnet' ''

Journal Article · Fri May 01 04:00:00 EDT 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.45.10812· OSTI ID:7234899

Wysin, G M ^[1]; Bishop, A R ^[2]

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1. Department of Physics, Kansas State University, Manhattan, Kansas 66506-2601 (United States)
2. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

In a recent publication (Wysin and Bishop, Phys. Rev. B 42, 810 (1990)), we incorrectly derived the condition that the wave-vector- and time-dependent dynamic structure function {ital S}({ital q},{ital t}) for isotropic Heisenberg magnets should satisfy {ital dS}({ital q},{ital t})/{ital dt}{vert bar}{sub {ital t}=0}=0. In the preceding Comment by Brown, it has been pointed out that the derivation did not preserve the spin commutation relations. However, the above quantity is correctly determined by a sum of three-point spin correlations, {l angle}{ital S}{sub {ital n}}{sup {ital x}S}{sub {ital m}}{sup {ital y}S}{sub {ital m}{prime}}{sup {ital z}}{r angle}, which we show are all identically zero in any number of space dimensions. Therefore, the condition is valid, and indeed implies that a sum of Lorentzians cannot be used to fit the frequency-dependent dynamic correlation function {ital S}({ital q},{omega}).

• OSTI ID: 7234899
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 45:18; ISSN PRBMD; 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
ANTIFERROMAGNETISM
COMMUTATION RELATIONS
COMPUTERIZED SIMULATION
CORRELATIONS
CRYSTAL MODELS
FUNCTIONS
HEISENBERG MODEL
MAGNETISM
MATHEMATICAL MODELS
PARTITION FUNCTIONS
SCALING
SIMULATION
STRUCTURE FACTORS