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Phys. Rev. B 68, 054431 (2003) [5 pages]

Dynamic scaling in spin glasses

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C. Pappas*
HMI Berlin, Glienickerstrasse 100, 14109 Berlin, Germany

F. Mezei
HMI Berlin, Glienickerstrasse 100, 14109 Berlin, Germany
Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

G. Ehlers
ILL, 38042 Grenoble Cedex 9, France

P. Manuel§
Physics & Astronomy Department, University of Leeds, Leeds LS2 9JT, United Kingdom

I. A. Campbell**
Laboratoire des Verres, University Montpellier II, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France

Received 8 May 2003; published 28 August 2003

We present neutron spin echo (NSE) results and a revisited analysis of historical data on spin glasses, which reveal a pure power-law time decay of the spin autocorrelation function s(Q,t)=S(Q,t)/S(Q) at the glass temperature Tg. The power law exponent is in excellent agreement with that calculated from dynamic and static critical exponents deduced from macroscopic susceptibility measurements made on a quite different time scale. This scaling relation involving exponents of different physical quantities determined by completely independent experimental methods is stringently verified experimentally in a spin glass. As spin glasses are a subgroup of the vast family of glassy systems also comprising structural glasses and other noncrystalline systems the observed strict critical scaling behavior is important. Above the phase transition the strikingly nonexponential relaxation, best fitted by the Ogielski (power-law times stretched exponential) function, appears as an intrinsic, homogeneous feature of spin glasses.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.68.054431
DOI:
10.1103/PhysRevB.68.054431
PACS:
75.50.Lk, 78.70.Nx, 75.40.Gb

*Electronic address: pappas@hmi.de

Electronic address: mezei@hmi.de

Electronic address: ehlers@ill.de; present address: SNS, Oak Ridge National Laboratory, 701 Scarboro Road, Oak Ridge, TN 37831, USA.

§Electronic address: P.Manuel@rl.ac.uk; present address: ISIS, Rutherford Appleton Laboratory, Chilton, Didcot OX11 OQX, UK.

**Electronic address: campbell@ldv.univ-montp2.fr