Liubov Lokot

Invariant helicity of electrons and quantum Hall effect of nanohelices in magnetic field, F1000Physics: Condens. Matter; F1000.com/Workspace

Blog Post created by Liubov Lokot on Jul 24, 2017

In this paper a theoretical studies of the effective Hamiltonian of nanohelices are presented. For this aim the solution of the three dimensional Schrödinger equations for electrons of nanohelices in magnetic field is found. The three-dimensional Schrödinger equation which is separated on one-dimensional and two-dimensional equations by separated of variables are shown to be concerned with the effective Hamiltonian of nanohelices. The one-dimensional Schrödinger equation are shown to be concerned with the momentum anisotropy of electrons of nanohelices and the law of conservation of helicity is found. The law of conservation of helicity are shown to be related with the invariance comparatively the space group of D_{3}^{1}. Landau quantization $\epsilon=\hbar\omega_{c}m\pm\frac{\delta'}{2}\sqrt{1+\frac{4\hbar^{2}\omega_{c }^{2}\beta^{2}m}{\delta'^{2}}}$ for fermions from mass chiral Dirac equation for the two-dimensional direction with spin-orbit interactions in a second quantization is found exactly. Quantum Hall effect in two-dimensional materials with spin-orbit interactions is predicted.

 

Citation  (bibtex)   [Switch view]

 

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@ARTICLE{Cummins:1990jd,

    author = {Cummins, H.~Z.},

    title = {},

    journal = {Phys. Rep.},

    year = {1990},

    volume = {185},

    pages = {211},

    number = {},

    month = {},

    publisher = {Publisher}

}

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