IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v97y2024i8d10.1140_epjb_s10051-024-00756-7.html
   My bibliography  Save this article

Polarization evolution equation for exchange-strictionally formed type II multiferroic materials

Author

Listed:
  • Pavel A. Andreev

    (Lomonosov Moscow State University)

  • Mariya Iv. Trukhanova

    (Lomonosov Moscow State University
    Nuclear Safety Institute (IBRAE))

Abstract

Multiferroics are materials where a single cell of a magnetically ordered crystal forms an electric dipole moment. In this work, we derive an equation for the evolution of the macroscopic density of the electric dipole moment (polarization of the system). For this purpose, we employ the quantum hydrodynamic method, which allows us to derive equations for the evolution of the macroscopic functions of quantum systems starting with the microscopic description. Here, we do not consider the microscopic level of individual electrons and ions; rather, we start our analysis from the combination of ions in the cells of the crystal. We present an effective Hamiltonian for the evolution of such intermediate-scale objects. We also apply the equation for the electric dipole moment of the single cell, which is re-contracted in the corresponding operator. Using this operator and the wave function of the combination of ions in the cell, we define the macroscopic density of the electric dipole moment. Finally, we apply the nonstationary Schrodinger equation with the chosen Hamiltonian in order to derive the equation for the evolution of the polarization which describes the dipole formed by the exchange-striction mechanism in type II multiferroic materials. The interaction-defined term in the polarization evolution equation is found to be proportional to the fourth space derivative of a mixed product (triple scalar product) of three spin-density vectors. Conditions are discussed for the regime where the interaction appears in a smaller order on the space derivatives. Graphic abstract

Suggested Citation

  • Pavel A. Andreev & Mariya Iv. Trukhanova, 2024. "Polarization evolution equation for exchange-strictionally formed type II multiferroic materials," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(8), pages 1-14, August.
  • Handle: RePEc:spr:eurphb:v:97:y:2024:i:8:d:10.1140_epjb_s10051-024-00756-7
    DOI: 10.1140/epjb/s10051-024-00756-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-024-00756-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1140/epjb/s10051-024-00756-7?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. Hong-Bo Chen & You-Quan Li, 2013. "Dynamical magnetoelectric effects in the distorted spiral multiferroic magnets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(9), pages 1-8, September.
    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.

      More about this item

      Statistics

      Access and download statistics

      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:spr:eurphb:v:97:y:2024:i:8:d:10.1140_epjb_s10051-024-00756-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

      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.