Lower-critical spin-glass dimension from 23 sequenced hierarchical models
Author(s)
Berker, A. Nihat; Demirtas, Mehmet; Tuncer, Asli
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The lower-critical dimension for the existence of the Ising spin-glass phase is calculated, numerically exactly, as d[subscript L] = 2.520 for a family of hierarchical lattices, from an essentially exact (correlation coefficent R[superscript 2] = 0.999999) near-linear fit to 23 different diminishing fractional dimensions. To obtain this result, the phase transition temperature between the disordered and spin-glass phases, the corresponding critical exponent y[subscript T], and the runaway exponent y[subscript R] of the spin-glass phase are calculated for consecutive hierarchical lattices as dimension is lowered.
Date issued
2015-08Department
Massachusetts Institute of Technology. Department of PhysicsJournal
Physical Review E
Publisher
American Physical Society
Citation
Demirtas, Mehmet, Asli Tuncer, and A. Nihat Berker. "Lower-critical spin-glass dimension from 23 sequenced hierarchical models." Phys. Rev. E 92, 022136 (August 2015). © 2015 American Physical Society
Version: Final published version
ISSN
1539-3755
1550-2376