Non-equillibrium green’s functions method in matrix represenatation. 4. Quantum interference and dephasing
Journal Title: Вісник Одеського державного екологічного університету - Year 2017, Vol 21, Issue 21
Abstract
The following topics are discussed in the frame of the «bottom – up» approach of modern nanoelectronics: a super-brief but hopefully self-containing introduction to the Hamiltonian matrix whose eigenvalues tell us the allowed energy levels in the channel. However, the Hamiltonian describes an isolated channel and we can not talk about the steady-state resistance of an isolated chan-nel without bringing in the contacts and the battery connected across it. Non-equilibrium Green’s functions method in matrix presentation was initially formulated and applied to model transport problems for 1D and 2D conductors using a nearest neighbor orthogonal tight-binding model in the frame of the «bottom – up» approach of modern nanoelectronics. General method to account for electric contacts in Schrödinger equation to solve electron quantum transport problems is given. There are also discussed the elastic and spin dephasing modeling, account for non-coherent processes using Buttiker probe, 1D conductor with two and more scatterers, quantum interference, strong and weak localization, potential drop across scatterers, quantum oscillations in NEGF method without dephasing and with its account under phase and impulse relaxation regimes, destructive and constructive interference effects, four-component description of spin transport with account for dephasing and ending with discussion of quantum nature of classics including spin coherence and pseudo-spin formalism.
Authors and Affiliations
Yu. A. Kruglyak, T. V. Kryzhanovskaya
Keywords
Related Articles
- EP ID EP328540
- DOI -
- Views 140
- Downloads 0
Estimation of greenhouse gases emission from the sites of municipal solid waste disposal: critical analysis of methods and adaptation to the conditions of the Odessa region
The article presents an overview of the most used methods for calculation of the landfill gas emission and/or its components from the municipal solid waste disposal sites. Landfill gas is a product of anaerobic decomposi...
Dynamics of state of surface water quality of the Western Bug river basin
Problem. The Western Bug is a cross-border river which makes it to be an interesting object for research. Dynamics of the state of the basin system is clearly observed through seasonal and perennial fluctuations of conce...
Regional climatic models verification for wind speed and cloudiness in Morocco
Currently the annual increase in demand for electricity in Morocco is estimated as 6 %. On the other hand, 100 % of all hydrocarbons consumed in the Morocco are imported. For this reason, the goverment of Morocco has ado...
Quality of aquatic environment of Khadzhibeyskyi liman in summer, 2016
The article describes the quality of the aquatic environment of Khadzhibeyskyi Liman (one of the largest closed reservoirs of the north-western Black Sea region) based on the analysis of the results of hydrochemical stud...
Assessment of the coastal anthropogenic pollution sources impact on water quality in north-western part of Black sea near Odessa
The assessment has been done on the base of the analysis of the data obtained in the last decade on indicators of water quality of the most problematic coastal anthropogenic sources impact causing the coastal water pollu...