A Review Of The Linear Response Function In Condensed Matter Physics And Their Application In Some Elementary Processes
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
Full Text:
PDFReferences
- Rickayzen G. Green’s Functions and Condensed Matter. New York: Dover Publication; 1980.
- Cottam MG, Tilley DR. Introduction to Surface and Superlattice Excitations. Cambridge University Press; 1989. Available from: https://www.cambridge.org/core/product/identifier/ 9780511599804/type/book.
- Zubarev DN. DOUBLE-TIME GREEN FUNCTIONS IN STATISTICAL PHYSICS. Soviet Physics Uspekhi. 1960 mar;3(3):320–345. Available from: http://stacks.iop.org/0038-5670/3/i=3/a=R02?key= crossref.eefae6ac8d3bd56be495fd5a5eef70ac.
- Jensen J, Mackintosh AR. Rare EarthMagnetism: Structures and Excitations. Clarendon Press - OXFORD; 1991.
- Cottam MG. Linear and Nonlinear Spin Waves in Magnetic Films and Superlattices. WORLD SCIENTIFIC; 1994. Available from: http://www.worldscientific.com/worldscibooks/10.1142/1687.
- Kubo R. Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems. Journal of the Physical Society of Japan. 1957 jun;12(6):570–586. Available from: http://journals.jps.jp/doi/10.1143/JPSJ.12.570.
- Kirkwood JG. The Statistical Mechanical Theory of Transport Processes I. General Theory. The Journal of Chemical Physics. 1946 mar;14(3):180–201. Available from: http://aip.scitation.org/doi/10.1063/1.1724117.
- Kubo R. Fluctuation, response, and relaxation: The linear response theory revisited. International Journal of Quantum Chemistry. 2009 jun;22(S16):25–32. Available from: http://doi.wiley.com/10.1002/qua.560220806.
- Kirkwood JG. The Dielectric Polarization of Polar Liquids. The Journal of Chemical Physics. 1939 oct;7(10):911–919. Available from: http://aip.scitation.org/doi/10.1063/1.1750343.
- Callen HB, Welton TA. Irreversibility and Generalized Noise. Physical Review. 1951 jul;83(1):34–40. Available from: ttps://link.aps.org/doi/10.1103/PhysRev.83.34.
- Jihad I. PERUMUSAN TEORITIK FUNGSI TANGGAP LINIER DALAM FISIKA ZAT MAMPAT DAN TERAPANNYA PADA BEBERAPA PROSES DASAR [Master Thesis]. Universitas Gadjah Mada; 2015
DOI: https://doi.org/10.22146/jfi.v20i3.56138
Article Metrics
Abstract views : 1718 | views : 1558Refbacks
- There are currently no refbacks.
Copyright (c) 2020 Ibnu Jihad, Kamsul Abraha
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.