Issues »  Volume 40, Issue 3

Dissipative Currents in a Quantum Wire in a Transverse Magnetic Field

I. I. Abbasov$^{1}$, Kh. A. Hasanov$^{2}$, J. I. Huseynov$^{2}$, A. O. Dashdemirov$^{2}$

$^{1}$Azerbaijan State Oil and Industrial University, 20 Azadliq Ave., 1010 Baku, Azerbaijan
$^{2}$Azerbaijan State Pedagogical University, 34 U. Hajibayov Str., 1000 Baku, Azerbaijan

Received: 15.08.2017; final version - 21.01.2018. Download: PDF

Based on the expression for the current density in the arbitrary degenerated quantum wire, calculation results for the diagonal dissipative components of the galvanomagnetic and thermomagnetic coefficients are given. Two different cases related to the mutual current and magnetic-field directions, namely, ‘current along a wire’ and ‘current directed perpendicularly to the wire axis’, are considered. As shown, for the first case, it is sufficient to apply the relaxation-time approximation and the kinetic equation, whereas for other case, it is possible to use an equation of motion for the density matrix. Using the electron-gas Hamiltonian for the quantum wire and taking into account the scattering on acoustic phonons and the elastic scattering at high temperatures, expressions for the degeneration case are obtained. These expressions allow calculating all the transverse galvanomagnetic and thermomagnetic effects in quantum wires.

Key words: dissipative currents, quantum wire, magnetic field, parabolic potential, galvanomagnetic and thermomagnetic effects, kinetic equation.

URL: http://mfint.imp.kiev.ua/en/abstract/v40/i03/0281.html

DOI: https://doi.org/10.15407/mfint.40.03.0281

PACS: 72.15.Gd, 72.15.Jf, 72.15.Lh, 72.15.Nj, 72.20.-i, 73.21.Hb, 73.63.Nm

Citation: I. I. Abbasov, Kh. A. Hasanov, J. I. Huseynov, and A. O. Dashdemirov, Dissipative Currents in a Quantum Wire in a Transverse Magnetic Field, Metallofiz. Noveishie Tekhnol., 40, No. 3: 281—289 (2018) (in Russian)

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