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

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

2006-08-13

arxiv.org/abs/cond-mat/0608296v1

J. Phys.: Condens. Matter 19, 145217 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 2 figures, proceedings of the HFM2006 conference, to appear in a special issue of J. Phys.: Condens. Matter

Scientific paper

10.1088/0953-8984/19/14/145217

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.

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