On the Use of Finite-Size Scaling to Measure Spin-Glass Exponents

Details On the Use of Finite-Size Scaling to Measure Spin-Glass Exponents On the Use of Finite-Size Scaling to Measure Spin-Glass Exponents

2003-02-11

arxiv.org/abs/cond-mat/0302207v1

J. Phys. A 36, 5699 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTeX, 5 pages

Scientific paper

10.1088/0305-4470/36/21/301

Finite-size scaling (FSS) is a standard technique for measuring scaling exponents in spin glasses. Here we present a critique of this approach, emphasizing the need for all length scales to be large compared to microscopic scales. In particular we show that the replacement, in FSS analyses, of the correlation length by its asymptotic scaling form can lead to apparently good scaling collapses with the wrong values of the scaling exponents.

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