Calculation of hysteresis loops in face-centered cubic thin films

Yoon Jae Nam, S. H. Lim

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


A total energy equation for a single-crystalline face-centered cubic thin film with its close-packed (111) plane parallel to the film plane is used to calculate in-plane and out-of-plane hysteresis loops at various values of the cubic magnetocrystalline anisotropy constant (K1). In-plane loops show that the easy and hard axes are the <112> and <110> directions, respectively, and that the coercivities, which are nearly independent of the sign of K1, are quite low over the K1 values due to the small variation of the magnetocrystalline anisotropy energy during the field sweep. The out-of-plane loops are similarly shaped to those of typical thin films, except for the appearance of a small hysteresis loop near the origin, which is attributed to an irreversible magnetization jump from one easy axis to another in the (111) plane. The magnetic parameters such as K1 are estimated by comparing the theoretical results for in-plane and out-of-plane hysteresis loops with the experimental results measured for an epitaxial Co thin film. The value of K1 is estimated to be - 1.2 × 10 6 erg/cm3, which is significantly higher than that of - 6×105 erg/cm3 for bulk Co, but is in good agreement with the values of - 1.3 to - 1.6 × 106 erg/cm3 reported for Co thin films.

Original languageEnglish
Pages (from-to)8256-8259
Number of pages4
JournalThin Solid Films
Issue number23
Publication statusPublished - 2011 Sept 30

Bibliographical note

Funding Information:
This work was supported by the Korea Research Council of Fundamental Science and Technology (KRCF) through the KU-KIST DRC program.

Copyright 2011 Elsevier B.V., All rights reserved.


  • Analytical calculation
  • Close-packed plane
  • Face-centered cubic thin films
  • Hysteresis loops
  • Magnetocrystalline anisotropy

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Metals and Alloys
  • Materials Chemistry


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