A Brief Review and Role of Local Field Correction Functions in Condensed Matter Physics

The importance of various local field correction functions in condensed matter physics that have been proposed thus far from diverse literature surveys is reported in the current article. Total 40 different forms of local field correction functions have been identified in the literature so far. Each local field correction function's essential parameters are supplied along with a brief summary. Our main objective is to emphasize the different local field corrections that have been published in the literature since 1957 and provide the scientific community with complete reference information. Content Introduction • Dielectric Screening Theory • Several Forms of LFCFs 2.1. Hubbard (HB) LFCF (1957) 2.2. Hubbard-Sham (HS) LFCF (1957) 2.3. Hubbard-Sham-Geldart-Vosko LFCF (HSGV) (1957) 2.4. Sham (SM) LFCF (1965) 2.5. Kohn-Sham (KS) LFCF (1965) 2.6. Geldart-Vosko LFCF (GV) (1966) 2.7. Hartree (HT) LFCF (1967) 2.8. Harrison (HR) LFCF (1967) 2.9. Kleinmann (KM) LFCF (1968) 2.10. Ashcroft (AS) LFCF (1968) 2.11. Singwi-Tosi-Sjölander-Land (STSL) LFCF (1968) 2.12. Kleinmann-Langreth (KL) LFCF (1968) 2.13. Shaw-Pynn (SP) LFCF (SP) (1969) 2.14. Singwi-Sjölander-Tosi-Land (SSTL) LFCF (1970) 2.15. Shaw (SH) LFCF (1970) 2.16. Toigo-Woodruff (TW) LFCF (1970) 2.17. King-Cutler (KC) LFCF (KC) (1971) 2.18. Overhouser (OV) LFCF (1971) 2.19. Mahanti-Das (MD) LFCF (1971) 2.20. Vashishta-Singwi (VS) LFCF (1972) 2.21. Jain-Jain (JJ) LFCF (1973) 2.22. Pathak-Vashishta (PV) LFCF (1973) 2.23. Kuglar (KR) LFCF (1975) 2.24. Srivastava (SR) LFCF (1977) 2.25. Tripathi-Mandal (TM) LFCF (1977) 2.26. Taylor (TY) LFCF (1978) 2.27. Ichimaru-Utsumi (IU) LFCF (1981) 2.28. Alvarellos-Flores (AF) LFCF (1984) 2.29. Bhatia-Singh (BS) LFCF (1985) 2.30. Nagy (NG) LFCF (1986) 2.31. Farid-Heine-Engle-Robertson (FHER) LFCF (1993) 3.32. Gold-Calmels (GC) LFCF (1993) 2.33. Ortiz-Ballone (OB) LFCF (1994) 2.34. Moroni-Ceperley-Senatore (MCS) LFCF (1995) 2.35. Bretonnet-Boulahbak (BB) LFCF (1996) 2.36. Sarkar-Sen-Haldar-Roy (SSHR) LFCF (1998) 2.37. Hellal-Gasser-Issolah (HGI) LFCF (2003) 2.38. Sarkar-Haldar-Roy-Sen (SHRS) LFCF (2004) 2.39. Dornheim-Vorberger-Groth-Hoffmann-Moldabekov-Bonitz (DVGHMB) LFCF (2019-2020) 2.40. Kukkonen-Chen (KC) LFCF (2021) Conclusions