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A New Perspective to Study the Correlation Effect of the Three-Dimensional electron gas

Chinese Physics Letters 2014年第1期31卷 152-155页

作者：余智明刘玉良 Department of Physics Renmin University of China Beijing 100872

The phase field, which originates from the electronic interaction, plays an important role in describing a strongly correlated system in one dimension. However, in higher dimensions the effect of phase field cannot be obviously understood. With the eigenfunctional theory, we calculate the pair distribution function of the three-dimensional electron gas to study the relationship between the phase field and the electronic correlation effect and show that at zero temperature the correlation effect of the electrons is mainly dominated by the phase fluctuation, which is produced by the electronic interaction. We also discuss the failure of random phase approximation in studying the correlation function when the correlation effect is strong in the view of the phase field.

关键词： electron gas

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Implementation of a Semi-Classical Theory for Superconductors

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Open Journal of Applied Sciences 2022年第7期12卷 1243-1253页

作者： Elie W’ishe Sorongane Physics Department University of Kinshasa Kinshasa Democratic Republic of the Congo

When the temperature of certain materials is lowered to exceed a certain value called the critical temperature, a state transition occurs: the system passes from the normal state to the superconducting state. A superconductor has two fundamental physical properties: a zero electrical resistance to direct current and a Meissner effect (the material repels any external magnetic flux). Lacking a suitable theory, physicists have attempted to explain the existence of this exotic low-temperature state using phenomenological approaches. In this work, we introduce a semi-classical (non-phenomenological) theory of superconductors. We demonstrate then that only the behavior of the gas of free electrons following the variation of the temperature in the metal explains not only the physical properties of the superconductors but also the existence of superconductors at high critical temperature. The critical temperature then plays the same role as the liquefaction temperature in a gaseous state-liquid state transition and the same role as the Curie temperature in a paramagnetic state-ferromagnetic state transition.

关键词： Superconducting State Normal State Critical Temperature Free electron electron gas electron Density

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