Localization of an Electron Transiting Through a System of N Identical and Periodically Located Two-Dimensional δ-Potentials
- Авторлар: Sedrakian D.1, Badalyan D.1
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Мекемелер:
- Yerevan State University
- Шығарылым: Том 54, № 3 (2019)
- Беттер: 242-252
- Бөлім: Article
- URL: https://journals.rcsi.science/1068-3372/article/view/228909
- DOI: https://doi.org/10.3103/S1068337219030034
- ID: 228909
Дәйексөз келтіру
Аннотация
The scattering of a quantum particle (an electron) on a chain of N non-overlapping identical and periodically located 5-shaped two-dimensional scattering centers is considered. When taking into account the transverse dimensions of the chain, this scattering is a multi-channel. The asymptotic value of an impedance of the chain is estimated when N tends to infinity. It is shown that the results a two dimensionality of motion of particle at a one-channel scattering coincide with the results of one-dimensional theory of scattering. Only the shift of the boundaries of the energy gap occurs. The picture is radically changing in the case of multichannel scattering: the impedance of the chain tends to infinity when N→ ∞. This means that in the 2D periodic conduction system with the nanometer widths the localization of the single-particle quantum states of an electron is possible. This result does not depend on the energy of the incident particle.
Негізгі сөздер
Авторлар туралы
D. Sedrakian
Yerevan State University
Хат алмасуға жауапты Автор.
Email: dsedrak@ysu.am
Армения, Yerevan
D. Badalyan
Yerevan State University
Email: dsedrak@ysu.am
Армения, Yerevan