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The order parameter for spin glasses: a function on the interval 0-1

G Parisi

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The breaking of the replica symmetry in spin glasses is studied. It is found that the order parameter is a function on the interval 0-1. This approach is used to study the Sherrington-Kirkpatrick model. Exact results are obtained near the critical temperature. Approximated results at all the temperatures are in excellent agreement with the computer simulations at zero external magnetic field.


PACS

75.50.Lk Spin glasses and other random magnets

75.40.-s Critical-point effects, specific heats, short-range order

65.60.+a Thermal properties of amorphous solids and glasses: heat capacity, thermal expansion, etc.

MSC

82B27 Critical phenomena

82B30 Statistical thermodynamics (See also 80-XX)

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

Subjects

Condensed matter: electrical, magnetic and optical

Condensed matter: structural, mechanical & thermal

Dates

Issue 3 (1 March 1980)



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