Statistics of lowest excitations in two dimensional Gaussian spin glasses

Details Statistics of lowest excitations in two dimensional Gaussian spin glasses Statistics of lowest excitations in two dimensional Gaussian spin glasses

2001-06-27

arxiv.org/abs/cond-mat/0106554v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures, (v2) revised version, (v3) corrected typos

Scientific paper

A detailed investigation of lowest excitations in two-dimensional Gaussian spin glasses is presented. We show the existence of a new zero-temperature exponent lambda describing the relative number of finite-volume excitations with respect to large-scale ones. This exponent yields the standard thermal exponent of droplet theory theta through the relation, theta=d(lambda-1). Our work provides a new way to measure the thermal exponent theta without any assumption about the procedure to generate typical low-lying excitations. We find clear evidence that theta < theta_{DW} where theta_{DW} is the thermal exponent obtained in domain-wall theory showing that MacMillan excitations are not typical.

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