Hyperuniversal amplitude ratios and the central charge of the spin-one Ising model
- Department of Physics, University of California, Davis, Davis, California 95616 (United States)
- Department of Physics, Technion-Israel Institute of Technology, 32000 Haifa (Israel)
The second moment of the spin-spin correlation function {mu}{sub 2}={summation}{sub {ital i},{ital j}}{gamma}{sub {ital ij}}{sup 2}({l_angle}{ital S}{sub {ital iS}}{sub {ital j}}{r_angle}{minus}{l_angle}{ital S}{sub {ital imv}} {l_angle}{ital S}{sub {ital j}}{r_angle}) for the spin-one, square lattice, Ising model is expanded in powers of {ital h}=exp[{minus}({ital H}/{ital kT})] for arbitrary values of {ital v}=exp({minus}{ital J}/{ital kT}). The expansion coefficients are calculated complete to order {ital h}{sup 12}. By hyperscaling, this quantity has a quadratic divergence as the critical point ({ital T}={ital T}{sub {ital c}}, {ital H}=0) is approached along the field axis ({ital T}={ital T}{sub {ital c}}, {ital H}{r_arrow}0). The amplitude for this divergence is estimated by series analysis methods. The resulting central charge for the model is consistent with the known value of 1/2. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 286658
- Journal Information:
- Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 5 Vol. 54; ISSN 0163-1829; ISSN PRBMDO
- Country of Publication:
- United States
- Language:
- English
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