Conserved nonlocal dynamics and critical behavior of uranium ferromagnetic superconductors

Rohit Singh, Kishore Dutta, and Malay K. Nandy
Phys. Rev. E 95, 012133 – Published 20 January 2017

Abstract

A recent theoretical study [Phys. Rev. Lett. 112, 037202 (2014)] has revealed that systems such as uranium ferromagnetic superconductors obey conserved dynamics. To capture the critical behavior near the paramagnetic to ferromagnetic phase transition of these compounds, we study the conserved critical dynamics of a nonlocal Ginzburg-Landau model. A dynamic renormalization-group calculation at one-loop order yields the critical indices in the leading order of ε=dcd, where dc=42ρ is the upper critical dimension, with ρ an exponent in the nonlocal interaction. The predicted static critical exponents are found to be comparable with the available experimentally observed critical exponents for strongly uniaxial uranium ferromagnetic superconductors. The corresponding dynamic exponent z and linewidth exponent w are found to be z=4ρε/4+O(ε2) and w=1+ρ+3ε/4+O(ε2).

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  • Received 27 October 2016

DOI:https://doi.org/10.1103/PhysRevE.95.012133

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

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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Issue

Vol. 95, Iss. 1 — January 2017

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