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

Aditya Vora · Vasyl Stefanyk Carpathian National University · 2025

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Author / responsible party
Aditya Vora
Publisher
Vasyl Stefanyk Carpathian National University
Year
2025
ISSN
1729-4428
ISSN
1729-4428
Language
English

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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

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APA 7

Vora, A. (2025). A Brief Review and Role of Local Field Correction Functions in Condensed Matter Physics. https://doi.org/10.15330/pcss.26.3.500-519

MLA

Vora, Aditya. "A Brief Review and Role of Local Field Correction Functions in Condensed Matter Physics." 2025. https://doi.org/10.15330/pcss.26.3.500-519.

Chicago

Vora, Aditya. 2025. "A Brief Review and Role of Local Field Correction Functions in Condensed Matter Physics.". https://doi.org/10.15330/pcss.26.3.500-519.

Harvard

Vora, A. 2025, A Brief Review and Role of Local Field Correction Functions in Condensed Matter Physics, Vasyl Stefanyk Carpathian National University, available at: https://doi.org/10.15330/pcss.26.3.500-519 [Accessed 7 Aug. 2026].

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Title
A Brief Review and Role of Local Field Correction Functions in Condensed Matter Physics
Author / contributors
Aditya Vora
Publisher
Vasyl Stefanyk Carpathian National University
Publication year
2025
ISSN
1729-4428
ISSN
1729-4428
Language
English

Subjects

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compressibility sum rule; homogeneous electron gas; local field correction functions; diffusion monte carlo (dmc) method; dielectric screening theory
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