Low-temperature behavior of two-dimensional Gaussian Ising spin glasses
| Autor: | Alexander K. Hartmann, Jérôme Houdayer |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
Physics
Spin glass Condensed matter physics Gaussian Monte Carlo method FOS: Physical sciences Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Condensed Matter Physics 01 natural sciences 010305 fluids & plasmas Electronic Optical and Magnetic Materials symbols.namesake Distribution (mathematics) 0103 physical sciences symbols Exponent Ising model Algebraic number 010306 general physics Ground state |
| Zdroj: | Physical Review B. 70 |
| ISSN: | 1550-235X 1098-0121 |
| DOI: | 10.1103/physrevb.70.014418 |
| Popis: | We perform Monte Carlo simulations of large two-dimensional Gaussian Ising spin glasses down to very low temperatures $\beta=1/T=50$. Equilibration is ensured by using a cluster algorithm including Monte Carlo moves consisting of flipping fundamental excitations. We study the thermodynamic behavior using the Binder cumulant, the spin-glass susceptibility, the distribution of overlaps, the overlap with the ground state and the specific heat. We confirm that $T_c=0$. All results are compatible with an algebraic divergence of the correlation length with an exponent $\nu$. We find $-1/\nu=-0.295(30)$, which is compatible with the value for the domain-wall and droplet exponent $\theta\approx-0.29$ found previously in ground-state studies. Hence the thermodynamic behavior of this model seems to be governed by one single exponent. Comment: 7 pages, 11 figures |
| Databáze: | OpenAIRE |
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