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THEORY OF SYSTEMS WITH SMALL BOUNDARY ROUGHNESS IN APPLICATION TO ELECTRON STATES IN QUANTUM CHANNELS, ELECTRO- AND HYDRODYNAMICS
- Authors: Braginsky L.S1,2, Entin M.V1
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Affiliations:
- Rahanov Institute of Semiconductor Physics, Siberian Branch of the Russian Academy of Sciences
- Novosibirsk State University
- Issue: Vol 168, No 6 (2025)
- Pages: 765-771
- Section: ATOMS, MOLECULES, OPTICS
- URL: https://journals.rcsi.science/0044-4510/article/view/356094
- DOI: https://doi.org/10.7868/S3034641X25120034
- ID: 356094
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Abstract
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About the authors
L. S Braginsky
Rahanov Institute of Semiconductor Physics, Siberian Branch of the Russian Academy of Sciences; Novosibirsk State University
Author for correspondence.
Email: jetp@kapitza.ras.ru
Novosibirsk, Russia
M. V Entin
Rahanov Institute of Semiconductor Physics, Siberian Branch of the Russian Academy of Sciences
Email: jetp@kapitza.ras.ru
Novosibirsk, Russia
References
- M. A. Lavrentiev and B. V. Shabat, Methods of Complex Function Theory, Nauka, Moscow (1987).
- A. V. Chaplik and M. V. Entin, Energy Spectrum and Electron Mobility in a Thin Film with Nonideal Boundary, JETP 55, 990 (1968.).
- R. E. Prange and T. W. Nee, Quantum Spectroscopy of the Low-Field Oscillations in the Surface Impedance, Phys. Rev. 168, 779 (1968).
- T. Ando, A. B. Fowler, and F. Stern, Electronic Properties of Two-Dimensional Systems, Rev. Mod. Phys. 54, 437 (1982).
- L. S. Braginskii and I. A. Gilinskii, Dokl. Akad. Nauk SSSR 293, 1097 (1987) [Sov. Phys. Dokl. 32, 297 (1987)].
- E. L. Feinberg, Propagation of Radionwaves along the Earth's Surface [in Russian], Izd. AN SSSR, Moscow (1961).
- P. I. Arseev, Perturbation Theory for the Green's Function of an Electromagnetic Field on a Rough Surface, Zh. Eksp. Teor. Fiz. 93, 464 (1987) [JETP 65, 262 (1987)].
- R. Z. Vitlina and A. M. Dykhne, Reflection of Electromagnetic Waves from a Surface with a Low Relief, Zh. Eksp. Teor. Fiz. 99, 1758 (1991) [JETP 72, 983 (1991)].
- G. V. Rozhnov, Zh. Eksp. Teor. Fiz. 94, 50 (1988) [Sov. Phys. JETP 67, 240 (1988)].
- Y. C. Huang, C. Williams, and H. Smith, Direct Comparison of Cross-Sectional Scanning Capacitance Microscope Dopant Profile and Vertical Secondary Ion-Mass Spectroscopy Profile, J. Vacuum Sci. Technol. B: Microelectronics and Nanometer Structures Processing, Measurement, and Phenomena 14, 433 (1996).
- R. C. Barrett and C. F. Quate, Charge Storage in a Nitride-Oxide-Silicon Medium by Scanning Capacitance Microscopy, J. Appl. Phys. 70 2725 (1991).
- N. C. Bruce, A. Garcia-Valenzuela, and D. Kouznetsov, Rough-Surface Capacitor: Approximations of the Capacitance with Elementary Functions, J. Phys. D: Appl. Phys. 32, 2692 (1999).
- D. R. Steinhauer, C. P. Vlahacos, S. K. Dutta, F. C. Wellstood, and S. M. Anlage, Surface Resistance Imaging with a Scanning Near-Field Microwave Microscope, Appl. Phys. Lett. 71, 1736 (1997).
- C. P. Vlahacos, R. C. Black, S. M. Anlage, A. Amar, and F. C. Wellstood, Nearfield Scanning Microwave Microscope with 100 μm Resolution, Appl. Phys. Lett. 69, 3272 (1996).
- Yu Luo, J. B. Pendry, and A. Aubry, Surface Plasmons and Singularities, Nano Lett. 10, 4186 (2010); Yu Luo, A. Aubry, and J. B. Pendry, Electromagnetic Contribution to Surface-Enhanced Raman Scattering from Rough Metal Surfaces: A Transformation Optics Approach, Phys. Rev. B 83, 155422 (2011).
- Zeev Nehari, Conformal Mapping, Dover Publications, New York (1982).
- https://en.wikipedia.org/wiki/Schwarz-Christoffelmapping
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