Liubov Lokot

Quantum Hall effect in layered graphite and creation of bielectron in carbon nanoribbons, F1000Physics: Condens. Matter; F1000.com/Workspace

Blog Post created by Liubov Lokot on Jul 24, 2017

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 system of doped graphene/insulator/doped graphene and from Schrö\"{o}dinger equation for the two-dimensional materials with spin-orbit interactions in a second quantization is found exactly. Quantum Hall effect in layered graphite as well as in two-dimensional materials with spin-orbit interactions is predicted. Schrödinger equation for pair of two particles of carbon armchair ribbon when magnetic field is applied is analytically solved. The perfect pairing between electron Fermi spheres when magnetic field is applied creating a Cooper pair is found. The conditions under which the bielectron states exist are shown to be concerned with the higher magnetic fields.

 

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