Numerical investigation of the thermodynamic limit for ground states in models with quenched disorder

Details Numerical investigation of the thermodynamic limit for ground states in models with quenched disorder Numerical investigation of the thermodynamic limit for ground states in models with quenched disorder

1999-04-20

arxiv.org/abs/cond-mat/9904285v2

Phys. Rev. Lett. 83, 1672-1675 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 4 eps figures included; clarifications, modified references, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.83.1672

The effect of open boundary conditions for four models with quenched disorder are studied in finite samples by numerical ground state calculations. Extrapolation to the infinite volume limit indicates that the configurations in ``windows'' of fixed size converge to a unique configuration, up to global symmetries. The scaling of this convergence is consistent with calculations based on the fractal dimension of domain walls. These results provide strong evidence for the ``two-state'' picture of the low temperature behavior of these models. Convergence in three-dimensional systems can require relatively large windows.

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