Abstract
We analyse the zero-temperature behaviour of theXY Edwards–Anderson spin glass model on a square lattice. A newly developed algorithmcombining exact ground-state computations for Ising variables embedded into the planarspins with a specially tailored evolutionary method, resulting in the genetic embeddedmatching (GEM) approach, allows for the computation of numerically exact ground statesfor relatively large systems. This enables a thorough reinvestigation of the long-standingquestions of (i) extensive degeneracy of the ground state and (ii) a possible decoupling ofspin and chiral degrees of freedom in such systems. The new algorithm together withappropriate choices for the considered sets of boundary conditions and finite-size scalingtechniques allows for a consistent determination of the spin and chiral stiffness scalingexponents.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
