Abstract

The results of theoretical studies of a semiconductor structure are presented which, upon irradiation with a particle stream or light, transforms into a superconducting phase state. The work is carried out: – analysis of ion-acoustic oscillations in non-degenerate and degenerate plasma; – analysis of the possibility of using the jelly model to describe the weak coupling and strong coupling; – determination of the value of the order parameter when the equilibrium distribution is replaced by a non-equilibrium distribution function; – analysis of the dispersion properties of the medium for a non-equilibrium stationary distribution of charged particle; – determination of the critical temperature of a superconducting transition when using the plasma mechanism for describing superconductivity. The aim of research: determination of the frequency of oscillations of the "ion sound" type with sufficiently large mobility of the sites of the absence of electrons (holes); determination of the method for calculating the damping of ion-acoustic oscillations, which are determined by the imaginary part of the dielectric constant (decrement damping); numerically solution of the equation for the width of the energy gap; determination of the method of estimating the critical temperature of a superconductor in the plasma description of the process of the onset of superconductivity.

Highlights

  • Many characteristics of matter on which superconducting properties depend, can be highly modified under the influence of external fields and sources and sinks of particles

  • The magnitude of the order parameter in non-equilibrium conditions can often be expressed by the usual relations, but with the replacement of the equilibrium distribution by a non-equilibrium distribution function

  • Discussion of research results The advantage of the published studies is the obtaining of an expression for determining the critical temperature of a superconductor, which, with a 6 % error, corresponds to the values obtained in the experiment for metals and semiconductors

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Summary

Introduction

Many characteristics of matter (for example, matrix elements of quasi-particle interaction, distribution functions, etc.) on which superconducting properties depend, can be highly modified under the influence of external fields and sources and sinks of particles. Collective effects are very sensitive to the deviation of the system from equilibrium and the distribution of quasi-particles in the energy space. The influence of external sources just leads to a change in the number of quasi-particles (their density) in comparison with the equilibrium and the change in their distribution in the energy space. Non-equilibrium stationary distributions of charged particles can significantly change the dispersion properties of the medium and, can lead to a significant change in the temperature of the superconductor phase transition [1]. The kinetic equation for the distribution function, as a rule, [2,3,4,5], depends on the order parameter and, the analysis of the phase transition under non-equilibrium conditions is a complex non-linear problem. The analysis of the effect of the non-equilibrium of the system on superconducting properties of semiconductor systems with a possible plasma mechanism of superconductivity is relevant [1, 3]

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