Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic

@article{Weigel2008ZerotemperaturePO,
  title={Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic},
  author={Martin Weigel and Michel J. P. Gingras},
  journal={Physical Review B},
  year={2008},
  volume={77},
  pages={104437}
}
For many real spin-glass materials, the Edwards-Anderson model with continuous-symmetry spins is more realistic than the rather better understood Ising variant. In principle, the nature of an occurring spin-glass phase in such systems might be inferred from an analysis of the zero-temperature properties. Unfortunately, with few exceptions, the problem of finding ground-state configurations is a non-polynomial problem computationally, such that efficient approximation algorithms are called for… Expand
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References

SHOWING 1-10 OF 105 REFERENCES
Spin and chiral stiffness of the XY spin glass in two dimensions
We analyse the zero-temperature behaviour of the XY Edwards–Anderson spin glass model on a square lattice. A newly developed algorithm combining exact ground-state computations for Ising variablesExpand
Possible two-dimensional XY spin/gauge glasses on periodic and quasiperiodic lattices
Via Monte Carlo studies of the frustrated XY or classical planar model we demonstrate the possibility of a finite (nonzero) temperature spin/gauge glass-like phase in two dimensions. Examples of bothExpand
Ground states and defect energies of the two-dimensional XY spin glass from a quasiexact algorithm.
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 theExpand
Chaotic nature of the spin-glass phase.
  • Bray, Moore
  • Physics, Medicine
  • Physical review letters
  • 1987
TLDR
There is no hidden order pattern for spin glasses at all T less than T(C), the ordered-phase spin correlations being chaotic functions of spin separation at fixed temperature or of temperature at scale lengths L greater than (T delta T) exp -1/zeta. Expand
Low-temperature behavior of two-dimensional Gaussian Ising spin glasses
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 includingExpand
Evidence for a trivial ground-state structure in the two-dimensional Ising spin glass
We study how the ground state of the two-dimensional Ising spin glass with Gaussian interactions in zero magnetic field changes on altering the boundary conditions. The probability that relative spinExpand
Morphology of ground states of two-dimensional frustration model
The problem of generating ground states of a quenched random Ising spin system with variable concentration of mixed-neighbour exchange couplings (Jij()0) on a planar lattice (frustration model) isExpand
Bond-disordered spin systems: Theory and application to doped high-Tc compounds
We examine the stability of magnetic order in a classical Heisenberg model with quenched random exchange couplings. This system represents the spin degrees of freedom in high-T c compounds withExpand
Computer search for defects in a D = 3 Heisenberg spin glass
Abstract A computer study of T = 0 metastable states (local minima) of a Heisenberg spin glass (1728 fixed-length spins on a simple cubic latice with random nearest-neighbor bonds) is reported, inExpand
Nonvanishing spin-glass transition temperature of the +-J XY model in three dimensions
A three-dimensional $\pm J$ XY spin-glass model is investigated by a nonequilibrium relaxation method. We have introduced a new criterion for the finite-time scaling analysis. A transitionExpand
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