Abstract
We employ a novel algorithm using a quasiexact embedded-cluster matching technique as minimization method within a genetic algorithm to reliably obtain numerically exact ground states of the Edwards-Anderson XY spin-glass model with bimodal coupling distribution for square lattices of up to 28×28 spins. Contrary to previous conjectures, the ground state of each disorder replica is nondegenerate up to a global O(2) rotation. The scaling of spin and chiral defect energies induced by applying several different sets of boundary conditions exhibits strong crossover effects. This suggests that previous calculations have yielded results far from the asymptotic regime. The novel algorithm and the aspect-ratio scaling technique consistently give ?s=-0.308(30) and ?c=-0.114(16) for the spin and chiral stiffness exponents, respectively. © 2006 The American Physical Society.
| Original language | English |
|---|---|
| Article number | 097206 |
| Pages (from-to) | 4- |
| Journal | Physical Review Letters |
| Volume | 96 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 2006 |
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Ground states and defect energies of the two-dimensional XY spin glass from a quasiexact algorithm. / Weigel, Martin; Gingras, M. J P.
In: Physical Review Letters, Vol. 96, No. 9, 097206, 2006, p. 4-.Research output: Contribution to journal › Article
TY - JOUR
T1 - Ground states and defect energies of the two-dimensional XY spin glass from a quasiexact algorithm
AU - Weigel, Martin
AU - Gingras, M. J P
PY - 2006
Y1 - 2006
N2 - We employ a novel algorithm using a quasiexact embedded-cluster matching technique as minimization method within a genetic algorithm to reliably obtain numerically exact ground states of the Edwards-Anderson XY spin-glass model with bimodal coupling distribution for square lattices of up to 28×28 spins. Contrary to previous conjectures, the ground state of each disorder replica is nondegenerate up to a global O(2) rotation. The scaling of spin and chiral defect energies induced by applying several different sets of boundary conditions exhibits strong crossover effects. This suggests that previous calculations have yielded results far from the asymptotic regime. The novel algorithm and the aspect-ratio scaling technique consistently give ?s=-0.308(30) and ?c=-0.114(16) for the spin and chiral stiffness exponents, respectively. © 2006 The American Physical Society.
AB - We employ a novel algorithm using a quasiexact embedded-cluster matching technique as minimization method within a genetic algorithm to reliably obtain numerically exact ground states of the Edwards-Anderson XY spin-glass model with bimodal coupling distribution for square lattices of up to 28×28 spins. Contrary to previous conjectures, the ground state of each disorder replica is nondegenerate up to a global O(2) rotation. The scaling of spin and chiral defect energies induced by applying several different sets of boundary conditions exhibits strong crossover effects. This suggests that previous calculations have yielded results far from the asymptotic regime. The novel algorithm and the aspect-ratio scaling technique consistently give ?s=-0.308(30) and ?c=-0.114(16) for the spin and chiral stiffness exponents, respectively. © 2006 The American Physical Society.
UR - http://www.scopus.com/inward/record.url?scp=33644904372&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.96.097206
DO - 10.1103/PhysRevLett.96.097206
M3 - Article
VL - 96
SP - 4-
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 9
M1 - 097206
ER -