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Continuously Varying Critical Exponents Beyond Weak Universality.

N Khan1, P Sarkar2, A Midya1

  • 1CMP Division, Saha Institute of Nuclear Physics, HBNI, 1/AF Bidhan Nagar, Kolkata 700064, India.

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|March 23, 2017
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Summary
This summary is machine-generated.

Researchers observed a ferromagnetic phase transition in (Sm,Nd)SrMnO3 single crystals. Critical exponents varied with Nd concentration, violating universality and weak universality hypotheses, suggesting a new scaling theory.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Renormalization group theory allows continuous variation of critical exponents with marginal operators.
  • Existing weak universality scenarios typically fix some critical exponents while others vary.
  • Ferromagnetic phase transitions are crucial for understanding magnetic materials.

Purpose of the Study:

  • To investigate the ferromagnetic phase transition in (Sm1-yNdy)0.52Sr0.48MnO3 single crystals.
  • To analyze the variation of critical exponents (β, γ, δ) with Nd concentration (y).
  • To propose a new scaling theory explaining observed deviations from universality.

Main Methods:

  • Experimental synthesis of (Sm1-yNdy)0.52Sr0.48MnO3 single crystals.
  • Characterization of ferromagnetic phase transition using critical exponent analysis.
  • Theoretical modeling using a proposed scaling theory.

Main Results:

  • Observed a ferromagnetic phase transition in (Sm1-yNdy)0.52Sr0.48MnO3 for 0.5 ≤ y ≤ 1.
  • All three critical exponents (β, γ, δ) showed continuous variation with Nd concentration y.
  • This variation violates both universality and weak universality hypotheses.

Conclusions:

  • The study presents experimental evidence challenging established universality principles in critical phenomena.
  • A novel scaling theory is proposed to account for the observed continuous variation of multiple critical exponents.
  • The new theory offers a generalized framework for understanding continuous critical exponent variation and multi-criticality.