Spin and chiral stiffness of the XY spin glass in two dimensions

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We analyze the zero-temperature behavior of the XY Edwards-Anderson spin glass model on a square lattice. A newly developed algorithm combining exact ground-state computations for Ising variables embedded into the planar spins with a specially tailored evolutionary method, resulting in the genetic embedded matching (GEM) approach, allows for the computation of numerically exact ground states for relatively large systems. This enables a thorough re-investigation of the long-standing questions of (i) extensive degeneracy of the ground state and (ii) a possible decoupling of spin and chiral degrees of freedom in such systems. The new algorithm together with appropriate choices for the considered sets of boundary conditions and finite-size scaling techniques allows for a consistent determination of the spin and chiral stiffness scaling exponents.
6 pages, 2 figures, proceedings of the HFM2006 conference, to appear in a special issue of J. Phys.: Condens. Matter

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Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/126694

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0608296
 http://arxiv.org/abs/cond-mat/0608296
 J. Phys.: Condens. Matter 19, 145217 (2007)
 doi:10.1088/0953-8984/19/14/145217

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