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Extraction of the Spin Glass Correlation Length

Identifieur interne : 001604 ( France/Analysis ); précédent : 001603; suivant : 001605

Extraction of the Spin Glass Correlation Length

Auteurs : RBID : Pascal:99-0031039

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Abstract

The peak of the spin glass relaxation rate, S(t)=d[-MTRM(t, t w)/H]/d ln t , is directly related to the typical value of the free energy barrier which can be explored over experimental time scales. A change in magnetic field H generates an energy Ez=NsχfcH 2 by which the barrier heights are reduced, where χfc is the field cooled susceptibility per spin, and Ns is the number of correlated spins. The shift of the peak of S(t) gives Ez , generating the correlation length, ξ(t, T) for Cu:Mn 6 at. % and CdCr1.7 In0.3S 4 . Fits to power law dynamics, ξ(t, T)tα(T) and activated dynamics ξ(t, T)(lnt) 1/ψ compare well with simulation fits but possess too small a prefactor for activated dynamics.

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Pascal:99-0031039

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<div type="abstract" xml:lang="en">The peak of the spin glass relaxation rate, S(t)=d[-M
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by which the barrier heights are reduced, where χ
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is the field cooled susceptibility per spin, and N
<sub>s</sub>
is the number of correlated spins. The shift of the peak of S(t) gives E
<sub>z</sub>
, generating the correlation length, ξ(t, T) for Cu:Mn 6 at. % and CdCr
<sub>1.7</sub>
In
<sub>0.3</sub>
S
<sub>4</sub>
. Fits to power law dynamics, ξ(t, T)t
<sup>α(T)</sup>
and activated dynamics ξ(t, T)(lnt)
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compare well with simulation fits but possess too small a prefactor for activated dynamics.</div>
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<sub>TRM</sub>
(t, t
<sub> w</sub>
)/H]/d ln t , is directly related to the typical value of the free energy barrier which can be explored over experimental time scales. A change in magnetic field H generates an energy E
<sub>z</sub>
=N
<sub>s</sub>
χ
<sub>fc</sub>
H
<sup> 2</sup>
by which the barrier heights are reduced, where χ
<sub>fc</sub>
is the field cooled susceptibility per spin, and N
<sub>s</sub>
is the number of correlated spins. The shift of the peak of S(t) gives E
<sub>z</sub>
, generating the correlation length, ξ(t, T) for Cu:Mn 6 at. % and CdCr
<sub>1.7</sub>
In
<sub>0.3</sub>
S
<sub>4</sub>
. Fits to power law dynamics, ξ(t, T)t
<sup>α(T)</sup>
and activated dynamics ξ(t, T)(lnt)
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compare well with simulation fits but possess too small a prefactor for activated dynamics.</s0>
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