IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v241y1997i1p207-215.html
   My bibliography  Save this article

Quantum effects in the giant magnetoresistance (GMR) of magnetic multilayers

Author

Listed:
  • Vedyayev, A.
  • Ryzhanova, N.
  • Dieny, B.

Abstract

We present a quantum-statistical theory using the Kubo formalism to describe both CIP (current in plane) and CPP (current perpendicular to the plane) giant magnetoresistance (GMR) of thin magnetic sandwiches. It is shown that GMR for both geometries oscillates with the thicknesses of the sandwich's layers due to the confinement of electrons in quantum wells. The deviation of the GMR dependence on the angle γ between the magnetizations of successive layers from linear cos γ dependence is predicted. It is shown that for CIP geometry this deviation is large only for a large value of the parameter(kF↑ − kF↓)/(kF↑ + kF↓), where kF↑(↓) is Fermi momentum of spin-up (down) electron, but for CPP GMR for noncollinear configuration of the magnetizations a new mechanism (interference between spin-up and spin-down electron waves) is predicted, and the deviation from linear cos γ dependence in this case is large even for small values of the parameter (kF↑ − kF↓)/(kF↑ + kF↓), but not for very large values of the parameter (kF↑ − kF↓)/(1/l↑ + 1/l↓), where l↑(↓) is the mean free path for spin-up(down) electron.

Suggested Citation

  • Vedyayev, A. & Ryzhanova, N. & Dieny, B., 1997. "Quantum effects in the giant magnetoresistance (GMR) of magnetic multilayers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(1), pages 207-215.
    • Handle: RePEc:eee:phsmap:v:241:y:1997:i:1:p:207-215
    DOI: 10.1016/S0378-4371(97)00084-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197000848
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(97)00084-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zegordi, Seyed Hessameddin & Itoh, Kenji & Enkawa, Takao, 1995. "Minimizing makespan for flow shop scheduling by combining simulated annealing with sequencing knowledge," European Journal of Operational Research, Elsevier, vol. 85(3), pages 515-531, September.
    2. McKinney, W.P. & Barnas, G.P., 1989. "Influenza immunization in the elderly: Knowledge and attitudes do not explain physician behavior," American Journal of Public Health, American Public Health Association, vol. 79(10), pages 1422-1424.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sündüz Dağ, 2013. "An Application On Flowshop Scheduling," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 1(1), pages 47-56, December.
    2. Zhao, B. & Yan, X., 1997. "Giant magnetoresistance in granular Fe SiO2 films," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(1), pages 367-376.
    3. Ruiz, Ruben & Maroto, Concepcion, 2005. "A comprehensive review and evaluation of permutation flowshop heuristics," European Journal of Operational Research, Elsevier, vol. 165(2), pages 479-494, September.
    4. Camley, R.E. & Stamps, R.L., 1994. "Magnetic multilayers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(1), pages 396-410.
    5. LeBlanc, Larry J. & Shtub, Avraham & Anandalingam, G., 1999. "Formulating and solving production planning problems," European Journal of Operational Research, Elsevier, vol. 112(1), pages 54-80, January.
    6. J M Framinan & J N D Gupta & R Leisten, 2004. "A review and classification of heuristics for permutation flow-shop scheduling with makespan objective," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(12), pages 1243-1255, December.
    7. Wilson, Amy D. & King, Russell E. & Wilson, James R., 2004. "Case study on statistically estimating minimum makespan for flow line scheduling problems," European Journal of Operational Research, Elsevier, vol. 155(2), pages 439-454, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:241:y:1997:i:1:p:207-215. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.