Nonlocal quartic interactions and universality classes in perovskite manganites

Rohit Singh, Kishore Dutta, and Malay K. Nandy
Phys. Rev. E 92, 012123 – Published 16 July 2015

Abstract

A modified Ginzburg-Landau model with a screened nonlocal interaction in the quartic term is treated via Wilson's renormalization-group scheme at one-loop order to explore the critical behavior of the paramagnetic-to-ferromagnetic phase transition in perovskite manganites. We find the Fisher exponent η to be O(ε) and the correlation exponent to be ν=12+O(ε) through epsilon expansion in the parameter ε=dcd, where d is the space dimension, dc=4+2σ is the upper critical dimension, and σ is a parameter coming from the nonlocal interaction in the model Hamiltonian. The ensuing critical exponents in three dimensions for different values of σ compare well with various existing experimental estimates for perovskite manganites with various doping levels. This suggests that the nonlocal model Hamiltonian contains a wide variety of such universality classes.

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  • Received 7 December 2014

DOI:https://doi.org/10.1103/PhysRevE.92.012123

©2015 American Physical Society

Authors & Affiliations

Rohit Singh1,*, Kishore Dutta2,†, and Malay K. Nandy1,‡

  • 1Department of Physics, Indian Institute of Technology Guwahati, Guwahati 781 039, India
  • 2Department of Physics, Handique Girls' College, Guwahati 781 001, India

  • *rohit.singh@iitg.ernet.in
  • kdkishore77@gmail.com
  • mknandy@iitg.ernet.in

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Vol. 92, Iss. 1 — July 2015

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