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Electron States and Conductivity of Size Quantized Systems with Rough Boundaries
Author(s) -
Potapenko S. Yu.,
Satanin A. M.
Publication year - 1984
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221230121
Subject(s) - curvilinear coordinates , boundary value problem , conductivity , scattering , hamiltonian (control theory) , condensed matter physics , quantization (signal processing) , physics , mathematics , mathematical analysis , quantum mechanics , mathematical optimization , algorithm
A new approach to the study of electron properties of the systems with rough boundaries is proposed. The boundary problem is reduced to the analysis of Schrödinger equation with effective Hamiltonian and boundary conditions for flat surfaces by using a curvilinear coordinate system. A criterion for existence of localized states is obtained and evaluation of the lifetime of resonance states arising near the bulges is presented. Asymptotic behaviour of the state density tails from the subbands of the size quantization, intraband and interband relaxation time, and conductivity of the film are estimated. The influence of the scattering by boundaries on the localization effects in two‐dimensional systems is investigated.