Relaxation Processes in a Quantum Wire with Parabolic Confinement

  • Kh. A. Hasanov Azerbaijan State Pedagogical University, Academy of the Ministry of Emergency Situations of the Azerbaijan Republic
  • J. I. Huseynov Azerbaijan State Pedagogical University
  • F. I. Mamedov Academy of the Ministry of Emergency Situations of the Azerbaijan Republic
  • I. I. Abbasov Azerbaijan State Oil and Industry University
  • A. A. Hasanov Baku State University
Keywords: mobility of a two-dimensional electron gas, quantum wire, elastic scattering by ionized impurities, scattering by acoustic phonons, parabolic confinement potential


Analytical expressions are found for the mobility of a degenerate electron gas in a quantum wire for three scattering mechanisms: on ionized impurities and on piezoacoustic and deformation acoustic phonons. The expressions allow one to analyze the concentration, temperature, and dimensional dependences of the electron mobility.


T. Fang, A. Konar, H. Xing, D. Jena. Mobility in semiconducting graphene nanoribbons: Phonon, impurity, and edge roughness scattering. Phys. Rev. B 78, 205403 (2008).

M.A. Ruvinskii, B.M. Ruvinskii. On the influence of fluctuations of the thickness on the static conduction of a quantum semiconductor wire. FTP 39 (2), 247 (2005).

E.P. Sinyavskii, S.A. Karapetyan. Peculiarities of the mobility in nanowires in transverse electric and magnetic fields. FTP 2, 229 (2014).

A. Faridi, R. Asgari, A. Langari. Electron mobility of a two-dimensional electron gas at the interface of SrTiO3 and LaAlO3. Phys. Rev. B 93, 235306 (2016).

F. Gunkel, R.A. Heinen, S.H. Eifert, L. Jin, C.-L. Jia, R. Dittmann. Mobility modulation and suppression of defect formation in two-dimensional electron systems by charge-transfer management. ACS Appl. Mater. Interfaces 9 (12), 10888 (2017).

S. Flugge. Practical Quantum Mechanics (Springer, 1999), Vol. 1.

E.P. Sinyavskii, R.A. Khamidullin. Electroconduction of quantum wires in a uniform magnetic field. FTP 40 (11), 1368 (2006).

W.E. Chickering, J.P. Eisenstein, J.L. Reno. Hot-electron thermocouple and the diffusion thermopower of two-dimensional electrons in GaAs. Phys. Rev. Lett. 103 (1–4), 046807 (2009).

B.M. Askerov. Electron Transfer Phenomena in Semiconductors (Nauka, 1985) (in Russian).

T. Ando, A. Fowler, F. Stern. Electronic properties of two-dimensional systems. Rev. Mod. Phys. 34 (2), 437 (1982).

Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Ed. by M. Abramowitz, I.A. Stegun (Dover, 1974).

How to Cite
Hasanov, K., Huseynov, J., Mamedov, F., Abbasov, I., & Hasanov, A. (2018). Relaxation Processes in a Quantum Wire with Parabolic Confinement. Ukrainian Journal of Physics, 63(10), 930.
Physics of magnetic phenomena and physics of ferroics