Experimental search for the spin-glass transition in Eu0.4Sr0.6S: A dynamic scaling analysis

N. Bontemps, J. Rajchenbach, Ralph Chamberlin, R. Orbach

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

We first present a scaling argument for the relaxation times in spin glasses, as suggested by Binder and Young. We emphasize the relevance of our dynamic measurements near the magnetic field-temperature transition line to equilibrium properties such as the nonlinear susceptibility. We show how, in the insulating system Eu0.4Sr0.6S, the phase lag of the ac susceptibility with respect to the modulated field relates the measuring frequency ω to a characteristic response time τ. We are thus able to define the zero field freezing temperature, Tf(ω). Two scaling models are tested, appropriate to a finite critical temperature, Tc, and to a zero temperature transition. Respectively, this leads to two critical slowing down regimes: τ/τ0 ∼ (T - Tc)-zv and ln(τ/τ0) ∼ T -zv. Both are shown to be consistent with the data, and to lead to Tc = 1.50 K, zv = 8, τ0 = 3x10-12 s; or Tc = 0, zv = 9 and τ 0 = 10-8 s. The set of parameters derived for the former (finite Tc) case appears to be more consistent with previous data on Eu0.4Sr0.6S, and with recent computer simulations. We then generate, in the magnetic field-temperature plane, lines Tf (ω, H) associated with the response time τ. We include remanent magnetization measurements which refer to well defined experimental time scales (≤1 s or ≤25 s). The entire set of scaled data, for the case when Tc = 1.50 K, strongly suggests that the response time diverges for H 1 2 ∼ T - Tc. This is of the form of a de Almeida-Thouless transition line with, however, a non-mean-field exponent.

Original languageEnglish (US)
Pages (from-to)1-5
Number of pages5
JournalJournal of Magnetism and Magnetic Materials
Volume54-57
Issue numberPART 1
DOIs
StatePublished - 1986
Externally publishedYes

Fingerprint

Spin glass
spin glass
Glass transition
scaling
Superconducting transition temperature
Magnetic fields
transition temperature
magnetic permeability
Freezing
Relaxation time
Temperature
Binders
Magnetization
magnetic fields
freezing
critical temperature
time lag
computerized simulation
relaxation time
Computer simulation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Experimental search for the spin-glass transition in Eu0.4Sr0.6S : A dynamic scaling analysis. / Bontemps, N.; Rajchenbach, J.; Chamberlin, Ralph; Orbach, R.

In: Journal of Magnetism and Magnetic Materials, Vol. 54-57, No. PART 1, 1986, p. 1-5.

Research output: Contribution to journalArticle

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