title: Interface free-energy exponent in the one-dimensional Ising spin glass with long-range interactions in both the droplet and broken replica symmetry regions.
abstract: The one-dimensional Ising spin-glass model with power-law long-range interactions is a useful proxy model for studying spin glasses in higher space dimensions and for finding the dimension at which the spin-glass state changes from having broken replica symmetry to that of droplet behavior. To this end we have calculated the exponent that describes the difference in free energy between periodic and antiperiodic boundary conditions. Numerical work is done to support some of the assumptions made in the calculations and to determine the behavior of the interface free-energy exponent of the power law of the interactions. Our numerical results for the interface free-energy exponent are badly affected by finite-size problems.
authors.affiliation: Felix Bernstein Institute for Mathematical Statistics in the Biosciences, Georg August University of Göttingen, 37077 Göttingen, Germany.|Institute for Mathematical Stochastics, University of Göttingen, 37073 Göttingen, Germany.|Statistical Inverse Problems in Biophysics, Max Planck Institute for Biophysical Chemistry, 37077 Göttingen, Germany.
authors.forename: T
authors.initials: T
authors.lastname: Aspelmeier
authors.affiliation: Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA.
authors.forename: Wenlong
authors.initials: W
authors.lastname: Wang
authors.affiliation: School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom.
authors.forename: M A
authors.initials: MA
authors.lastname: Moore
authors.affiliation: Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA.|Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501, USA.
authors.forename: Helmut G
authors.initials: HG
authors.lastname: Katzgraber