Combinatorial Approach to the Ground-State Energy of Square and Triangular +/- J Spin Glasses
| dc.creator | Polaszek, P. | |
| dc.date | 1995-10-20 | |
| dc.date.accessioned | 2026-07-07T03:07:58Z | |
| dc.date.available | 2026-07-07T03:07:58Z | |
| dc.description | A new combinatorial, analytical approach to the ground-state energy problem of spin glasses with different concentrations of +/- J interactions is developed. The energy e_0 is expressed in terms of the fraction of broken bonds mu_0 and expanded into a fast converging series of the average length of a segment between two frustrated plaquettes of a minimum-weighted perfect matching Lambda_mean. The concept of so called diagram stability s is introduced in order to calculate coefficients of this expansion. Finally, the fraction mu_0 as a function of the concentration p of negative bonds is obtained for triangular and square infinite lattices in excellent accordance with numerical simulations of large adequate systems. | |
| dc.description | 6 pages, 10 Postscript figures, uses revtex.sty | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9510116 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9510116 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27378 | |
| dc.subject | Condensed Matter | |
| dc.title | Combinatorial Approach to the Ground-State Energy of Square and Triangular +/- J Spin Glasses | |
| dc.type | text |