In the article, the Josephson system ＂Superconductor-Fluctuation Superconductor-Superconductor＂, consisting of a combination of superconductors with a fluctuation superconductor was considered. The possibility of tr...In the article, the Josephson system ＂Superconductor-Fluctuation Superconductor-Superconductor＂, consisting of a combination of superconductors with a fluctuation superconductor was considered. The possibility of transformation of the superconducting （Cooper） pairs in psevdocorrelated （fluctuation） of a pair of electrons is shown, and vice versa, the fluctuation pairs in the Cooper pairs in such a Josephson system. The characteristic features of the Andreev reflection of the weakly bound electron, which is part of the fluctuation pairs in the interface ＂fluctuation superconductor-superconductor＂ with a probability of forming a pair of ＂Electron-Hole＂ and the generation of psevdocorrelated pair discussed. The probability of formation of two correlated superconducting electron pairs, forming original cluster with a charge 4e, in the interface ＂Fluctuation Superconductor-Superconductor＂ as a result of transmutation of the reflected hole into an electron or subjection Andreev reflection of both electrons of fluctuation pairs is viewed. The above processes may be useful for better understanding the fluctuation effects in superconducting materials which appear at temperatures above the critical value.展开更多
We study two-dimensional massive Dirac equation in circular well potential. The energies of bound states are obtained. We demonstrate the Klein paradox of this relativistic wave equation:For large enough potential dep...We study two-dimensional massive Dirac equation in circular well potential. The energies of bound states are obtained. We demonstrate the Klein paradox of this relativistic wave equation:For large enough potential depth, the bound states disappear from the spectra. Applications to graphene systems are discussed.展开更多
The Schrodinger equation with hyperbolic potential V （ x ）=- Vosinh 2q （ x / d） / cosh 6 （ x / d） （q= 0, 1, 2, 3） is studied by transforming it into the confluent Heun equation. We obtain genera/symmetric and ...The Schrodinger equation with hyperbolic potential V （ x ）=- Vosinh 2q （ x / d） / cosh 6 （ x / d） （q= 0, 1, 2, 3） is studied by transforming it into the confluent Heun equation. We obtain genera/symmetric and antisymmetric polynomial solutions of the SchrSdinger equation in a unified form via the Functional Bethe ansatz method. Furthermore, we discuss the characteristic of wavefunction of bound state with varying potential strengths. Particularly, the number of wavefunction＇s nodes decreases with the increase of potentiaJ strengths, and the particle tends to the bottom of the potential well correspondingly.展开更多
We propose a theoretical model of a nanoemitter for giga- and terahertz-range waves. The model is based on a peapod structure comprising a carbon nanotube with chiral indices （10, 10）. Three encapsulated and partial...We propose a theoretical model of a nanoemitter for giga- and terahertz-range waves. The model is based on a peapod structure comprising a carbon nanotube with chiral indices （10, 10）. Three encapsulated and partially polymerized fuUerene C60 molecules and a positively charged C60 fullerene are trapped inside the nanotube. The motion of the charged fullerene and the radiation frequency were controlled using an external electric field. Stable terahertz radiation at a frequency of 0.36 THz was produced at 300 K with an external electrical field of 10 V/μm. Stable radiation in the gigahertz range was observed at 50 K with an electric field below 10 V/m. A theoretical simulation was performed using the tight-binding molecular dynamics method with a description of the van der Waals interaction by the Morse potential. The system described by the theoretical model was experimentally observed.展开更多
文摘In the article, the Josephson system ＂Superconductor-Fluctuation Superconductor-Superconductor＂, consisting of a combination of superconductors with a fluctuation superconductor was considered. The possibility of transformation of the superconducting （Cooper） pairs in psevdocorrelated （fluctuation） of a pair of electrons is shown, and vice versa, the fluctuation pairs in the Cooper pairs in such a Josephson system. The characteristic features of the Andreev reflection of the weakly bound electron, which is part of the fluctuation pairs in the interface ＂fluctuation superconductor-superconductor＂ with a probability of forming a pair of ＂Electron-Hole＂ and the generation of psevdocorrelated pair discussed. The probability of formation of two correlated superconducting electron pairs, forming original cluster with a charge 4e, in the interface ＂Fluctuation Superconductor-Superconductor＂ as a result of transmutation of the reflected hole into an electron or subjection Andreev reflection of both electrons of fluctuation pairs is viewed. The above processes may be useful for better understanding the fluctuation effects in superconducting materials which appear at temperatures above the critical value.
基金Supported by the Fundamental Research Funds for the Central Universitiesthe National Natural Science Foundation of China under Grant No.10904111
文摘We study two-dimensional massive Dirac equation in circular well potential. The energies of bound states are obtained. We demonstrate the Klein paradox of this relativistic wave equation:For large enough potential depth, the bound states disappear from the spectra. Applications to graphene systems are discussed.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11047025,11075126 and 11031005the Ministry of Education Doctoral Program Funds under Grant Nos.20126101110004,20116101110017SRF for ROCS
文摘The Schrodinger equation with hyperbolic potential V （ x ）=- Vosinh 2q （ x / d） / cosh 6 （ x / d） （q= 0, 1, 2, 3） is studied by transforming it into the confluent Heun equation. We obtain genera/symmetric and antisymmetric polynomial solutions of the SchrSdinger equation in a unified form via the Functional Bethe ansatz method. Furthermore, we discuss the characteristic of wavefunction of bound state with varying potential strengths. Particularly, the number of wavefunction＇s nodes decreases with the increase of potentiaJ strengths, and the particle tends to the bottom of the potential well correspondingly.
文摘We propose a theoretical model of a nanoemitter for giga- and terahertz-range waves. The model is based on a peapod structure comprising a carbon nanotube with chiral indices （10, 10）. Three encapsulated and partially polymerized fuUerene C60 molecules and a positively charged C60 fullerene are trapped inside the nanotube. The motion of the charged fullerene and the radiation frequency were controlled using an external electric field. Stable terahertz radiation at a frequency of 0.36 THz was produced at 300 K with an external electrical field of 10 V/μm. Stable radiation in the gigahertz range was observed at 50 K with an electric field below 10 V/m. A theoretical simulation was performed using the tight-binding molecular dynamics method with a description of the van der Waals interaction by the Morse potential. The system described by the theoretical model was experimentally observed.
