A Review Of The Linear Response Function In Condensed Matter Physics And Their Application In Some Elementary Processes

Ibnu Jihad; Kamsul Abraha

doi:10.22146/jfi.v20i3.56138

A Review Of The Linear Response Function In Condensed Matter Physics And Their Application In Some Elementary Processes

https://doi.org/10.22146/jfi.v20i3.56138

Ibnu Jihad^(1*), Kamsul Abraha⁽²⁾

(1) Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada
(2)
(*) Corresponding Author

Abstract

Linear response theory in quantum theory with its linear response function and its quantization process has been formulated. The relation between the linear response function with its generalized susceptibility, its symmetry properties, and its analyticity has been studied. These properties produce the dispersion relation or Kramers-Kronig relation. The explicit form of the quantum response function and generalized susceptibility also been reviewed. Applications of linear response functions have been described for three elementary processes. The process discussed is the magnetic field disturbance in the magnetic system that generates magnetic susceptibility, and the electric field disturbance in the electrical system that generates electrical conductivity tensor and the ferromagnet Heisenberg that generates its generalized susceptibility.

Keywords

linear response theory; response function; general susceptibility; magnetic susceptibility; electric conductivity tensor; Heisenberg ferromagnet

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