Crossover from quantum to classical electron transport in ultrathin metal films

Взаимодействие Электромагнитной H-Волны С Полупроводниковым Нанослоем

“…В них подробно обосновываются причины и условия возникновения квантового размерного эффекта. Есть работы, авторы которых использовали различные методы, позволяющие учесть шероховатость поверхности для решения квантовой задачи о статической проводимости тонкой металлической пленки: метод функций Грина [13][14][15] и непосредствен-ный расчет вероятности перехода носителя заряда в результате процессов рассеяния [16][17][18]. В работах [19,20] вышеупомянутая задача решена с использованием граничных условий Соффера [21] и рассмотрены случаи металла и полупроводника с произвольным вырождением.…”

Interaction of an electromagnetic H-wave with a semiconductor nanolayer

“…They substantiate in detail the causes and conditions of occurrence of the quantum dimensional effect. There are studies, whose authors used the various methods taking into account the roughness of the surface for solving the quantum problem on the static conductivity of the metallic film: the method of Green's functions [13][14][15] and direct calculation of the transfer probability of the charge carrier as a result of scattering processes [16][17][18].The studies [19,20] have solved the above-mentioned problem using the boundary conditions of Soffer [21] and examined the cases of a metal and a semiconductor with arbitrary degeneracy. There are some studies dedicated to taking into account the effect of dimensional quantization for solving the problems of interaction of the IR electromagnetic radiation with a superthin metal film [22][23][24][25][26].The authors of these studies have restricted themselves in a case of the smooth surface and have not used the strict mathematical calculation based on the solution of the Liouville's quantum equation.…”

Galvanomagnetic properties of a thin metal film considering dimensional quantization and diffuse surface scattering of electrons

“…The problem of finding wave functions in a quantum well was reduced to determining the Green function by solving the Dyson equation. The scattering Hamiltonian of charge carriers is calculated in other works [4][5][6][7][8]. The solution method without using boundary conditions is difficult to obtain, mathematical expressions are cumbersome and not very transparent.…”