Demirtaş, Mehmet and Tuncer, Aslı and Berker, A. Nihat (2015) Lower-critical spin-glass dimension from 23 sequenced hierarchical models. Physical Review E, 92 (2). ISSN 1539-3755 (Print) 1550-2376 (Online)
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Official URL: http://dx.doi.org/10.1103/PhysRevE.92.022136
Abstract
The lower-critical dimension for the existence of the Ising spin-glass phase is calculated, numerically exactly, as d(L) = 2.520 for a family of hierarchical lattices, from an essentially exact (correlation coefficent R-2 = 0.999 999) 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(T), and the runaway exponent y(R) of the spin-glass phase are calculated for consecutive hierarchical lattices as dimension is lowered.
| Item Type: | Article |
|---|---|
| Additional Information: | Article Number: 022136 |
| Divisions: | President's Office Faculty of Engineering and Natural Sciences > Basic Sciences > Physics Faculty of Engineering and Natural Sciences |
| Depositing User: | A. Nihat Berker |
| Date Deposited: | 14 Dec 2015 15:58 |
| Last Modified: | 23 Aug 2019 15:52 |
| URI: | https://research.sabanciuniv.edu/id/eprint/29058 |
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Lower-critical spin-glass dimension from 23 sequenced hierarchical models. (deposited 29 Dec 2014 09:31)
- Lower-critical spin-glass dimension from 23 sequenced hierarchical models. (deposited 14 Dec 2015 15:58) [Currently Displayed]
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