On a Schrödinger-Landau-Lifshitz system: Variational structure and numerical methods

Published

Journal Article (Review)

© 2016 Society for Industrial and Applied Mathematics. From a variational perspective, we derive a series of magnetization and quantum spin current systems coupled via an "s-d" potential term, including the Schrödinger-Landau-Lifshitz- Maxwell system, the Pauli-Landau-Lifshitz system, and the Schrödinger-Landau-Lifshitz system with successive simplifications. For the latter two systems, we propose using the time splitting spectral method for the quantum spin current and the Gauss-Seidel projection method for the magnetization. Accuracy of the time splitting spectral method applied to the Pauli equation is analyzed and verified by numerous examples. Moreover, behaviors of the Schrödinger-Landau- Lifshitz system in different "s-d" coupling regimes are explored numerically.

Full Text

Duke Authors

Cited Authors

  • Chen, J; Liu, JG; Zhou, Z

Published Date

  • January 1, 2016

Published In

Volume / Issue

  • 14 / 4

Start / End Page

  • 1463 - 1487

Electronic International Standard Serial Number (EISSN)

  • 1540-3467

International Standard Serial Number (ISSN)

  • 1540-3459

Digital Object Identifier (DOI)

  • 10.1137/16M106947X

Citation Source

  • Scopus