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Author Eggert, S.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ ANTIFERROMAGNETISM ♦ HEISENBERG MODEL ♦ CORRELATION FUNCTIONS ♦ QUANTUM FIELD THEORY ♦ MATHEMATICAL OPERATORS ♦ RENORMALIZATION ♦ SIGMA MODEL ♦ CHIRAL SYMMETRY ♦ LINEAR CHAINS ♦ SPIN CORRELATIONS
Abstract Field theory calculations predict multiplicative logarithmic corrections to correlation functions from marginally irrelevant operators. However, for the numerically most suitable model, the spin-1/2 chain, these corrections have been controversial. In this paper, the spin-spin correlation function of the antiferromagnetic spin-1/2 chain is calculated numerically in the presence of a next-nearest-neighbor coupling {ital J}{sub 2} for chains of up to 32 sites. By varying the coupling strength {ital J}{sub 2} we can control the effect of the marginal operator, and our results unambiguously confirm the field theory predictions. The critical value at which the marginal operator vanishes has been determined to be at {ital J}{sub 2}/{ital J}=0.241167{plus_minus}0.000005. {copyright} {ital 1996 The American Physical Society.}
ISSN 01631829
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-10-01
Publisher Place United States
Journal Physical Review, B: Condensed Matter
Volume Number 54
Issue Number 14


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