Generalized double-exchange model for magnetic semiconductors with angular momentum j

Randy Fishman, Juana Moreno, Mark Jarrell

Research output: Contribution to journalConference articlepeer-review

Abstract

To facilitate the search for new magnetic semiconductors with high transition temperatures TC, we use dynamical mean-field theory to evaluate TC for a double-exchange system with general angular momentum j=1/2,3/2,5/2,... . For simplicity, we assume that there is one local moment per site and that the Hund's coupling Jc between the local moments and the charge carriers (with undoped bandwidth W) is large. The maximum Curie temperature TCmax(mj,j) for a given mj and j occurs when the mj sub-band is half-filled. For a fixed j, TCmax(mj,j) is the largest in the lowest or the highest sub-band with mj=±j, where the carriers are most optimally coupled to the local moments. When j≫1, TCmax(±j,j) scales like W/2j+1, which is the bandwidth of each mj sub-band. For j=1/2, TCmax(±1/2,1/2) is suppressed by fluctuations of the carrier spin. Surprisingly, TCmax(±j,j) reaches a maximum for j=3/2, the same angular momentum as the charge carriers in p-band semiconductors like GaAs and Ge.

Original languageEnglish
Pages (from-to)53-56
Number of pages4
JournalJournal of Magnetism and Magnetic Materials
Volume300
Issue number1
DOIs
StatePublished - May 2006
EventThird International Symposium on Magnetism 2005 -
Duration: Jun 26 2005Jun 30 2005

Funding

We gratefully acknowledge useful conversations with Horacio Castillo and Igor Žutić. This research was sponsored by the U.S. Department of Energy under contract DE-AC05-00OR22725 with Oak Ridge National Laboratory, managed by UT-Battelle, LLC and by the National Science Foundation under Grant Nos. DMR-0312680 and EPS-0132289 (ND EPSCOR).

Keywords

  • Double exchange
  • Dynamical mean-field theory
  • Magnetic semiconductors

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