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Rashba effect : ウィキペディア英語版
Rashba effect
The Rashba effect, or Rashba-Dresselhaus effect, is a momentum-dependent splitting of spin bands in two-dimensional condensed matter systems (heterostructures and surface states) similar to the splitting of particles and anti-particles in the Dirac Hamiltonian. The splitting is a combined effect of atomic spin-orbit coupling and asymmetry of the potential in the direction perpendicular to the two-dimensional plane. This effect is named in honour of Emmanuel Rashba who discovered it.〔G. Bihlmayer, O. Rader and R. Winkler, Focus on the Rashba effect , New J. Phys. 17, 050202 (2015)〕〔Han Woong Yeom and Marco Grioni, eds, Special issue on electron spectroscopy for Rashba spin-orbit interaction, Journal of Electron Spectroscopy and Related Phenomena, 201, 1-126 (2015)〕
Remarkably, this effect can drive a wide variety of novel physical phenomena even when it is a small correction to the band structure of the two-dimensional metallic state.
Additionally, superconductors with large Rashba splitting are suggested as possible realizations of the elusive Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state and the longed topological p-wave superconductor.


Lately, a momentum dependent pseudospin-orbit coupling has been realized in cold atom systems.
==The Rashba Hamiltonian==
The Rashba effect is most easily seen in the simple model Hamiltonian known as the Rashba Hamiltonian
:
H_=\alpha(\boldsymbol\times\bold)\cdot \hat
,
where \alpha is the Rashba coupling, \boldsymbol p is the momentum and \boldsymbol \sigma is the Pauli matrix vector.
This is nothing but a two-dimensional version of the Dirac Hamiltonian (with a 90 degrees rotation of the spins).
The Rashba model in solids can be derived in the framework of the \boldsymbol k \cdot \boldsymbol p theory or from the point of view of a tight binding approximation. However, the specifics of these methods are considered tedious and many prefer an intuitive toy model that gives qualitatively the same physics (quantitatively it gives a poor estimation of the coupling \alpha). Here we will introduce the intuitive toy model approach followed by a sketch of a more accurate derivation.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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