OVERVIEW OF DENSITY FUNCTIONAL THEORY FOR SUPERCONDUCTORS[Sekilas Tentang Teori Fungsional Kerapatan Elektron pada Superkonduktor]
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OVERVIEW OF DENSITY FUNCTIONAL THEORY FOR SUPERCONDUCTORS. The density functional theory (DFT) has been utilized to describe the electron interaction in superconducting materials. This paper discusses the fundamental aspects to begin with the DFT, including local density approximation (LDA) as well as its necessary transformation into time dependent system (TDDFT) and superconducting state (SCDFT). The Hamiltonian and Kohn-Sahm theorems along with Helmann-Feymann theorem are utilized to yield the energy of interacting and non-interacting systems. The procedures begins with the utilization of time-independent Schrödinger equation which is solved for occupied and unoccupied states. The equation is also computed against linear and non-linear responses of the material system to the external forces such as optical field. The results indicate construction of an LDA for superconductors.
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References
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