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Local field distributions in spin glasses

Stefan Boettcher1, Helmut G Katzgraber2 and David Sherrington3

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Numerical results for the local field distributions of a family of Ising spin-glass models are presented. In particular, the Edwards–Anderson model in dimensions two, three and four is considered, as well as spin glasses with long-range power-law-modulated interactions that interpolate between a nearest-neighbour Edwards–Anderson system in one dimension and the infinite-range Sherrington–Kirkpatrick model. Remarkably, the local field distributions only depend weakly on the range of the interactions and the dimensionality, and show strong similarities except for near-zero local field.


PACS

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

75.10.Hk Classical spin models

75.50.Lk Spin glasses and other random magnets

75.10.Nr Spin-glass and other random models

MSC

82D30 Random media, disordered materials (including liquid crystals and spin glasses)

82D40 Magnetic materials

60G15 Gaussian processes

82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

Subjects

Condensed matter: electrical, magnetic and optical

Statistical physics and nonlinear systems

Dates

Issue 32 (15 August 2008)

Received 25 November 2007, in final form 2 February 2008

Published 30 July 2008



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