Skip to main content
SpringerLink
Log in

Modeling Solids and Its Impact on Science and Technology

  • Reference work entry
  • First Online:
Book cover Handbook of Materials Modeling

  • 3065 Accesses

Abstract

An attempt will be made here to describe how modeling of solids in condensed matter physics and materials science has influenced science and technology for the past 100 plus years along with several examples.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 799.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 999.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Ashcroft NW, Mermin ND (1976) Solid state physics. Cambridge University Press, Cambridge, UK

    Google Scholar 

  • Bardeen J, Cooper LN, Schrieffer JR (1957) Theory of superconductivity. Phys Rev 108:1175

    Article  ADS  MathSciNet  Google Scholar 

  • Bhaumik A, Sachan R, Narayan J (2017) High-temperature superconductivity in boron-doped Q-carbon. J ACS Nano 11:5351

    Article  Google Scholar 

  • Chang KJ, Cohen ML, Mignot JM, Chouteau G, Martinez G (1985) Superconductivity in high-pressure metallic phases of Si. Phys Rev Lett 54:2375

    Article  ADS  Google Scholar 

  • Choi HJ, Roundy D, Sun H, Cohen ML, Louie SG (2002) The origin of the anomalous superconducting properties of MgB2. Nature 418:758

    Article  ADS  Google Scholar 

  • Cohen ML (1982) Pseudopotentials and total energy calculations. Phys Scr T1:5

    Article  ADS  Google Scholar 

  • Cohen ML (1985) Calculation of bulk moduli of diamond and zinc-blende solids. Phys Rev B 32:7988–7991

    Article  ADS  Google Scholar 

  • Cohen ML, Bergstresser TK (1966) Band structures and pseudopotential form factors for fourteen semiconductors of the diamond and zincblende structures. Phys Rev 141:789

    Article  ADS  Google Scholar 

  • Cohen ML, Schlüter M, Chelikowsky JR, Louie SG (1975) Self-consistent pseudopotential method for localized configurations: molecules. Phys Rev B 12:5575

    Article  ADS  Google Scholar 

  • Cohen ML, Chelikowsky JR (1988) Electronic structure and optical properties of semiconductors. Springer, Berlin

    Google Scholar 

  • Cohen ML, Louie SG (2016) Fundamentals of condensed matter physics. Cambridge University Press, Cambridge, UK

    Google Scholar 

  • Drozdov AP, Eremets MI, Troyan AI, Ksenofontov V, Shylin SI (2015) Conventional superconductivity at 203 Kelvin at high pressures in the sulfur hydride system. Nature 525:73

    Article  ADS  Google Scholar 

  • Ekimov EA, Sidorov VA, Bauer ED, Mel’nik NN, Curro NJ, Thompson JD, Stishov SM (2004) Superconductivity in diamond. Nature 428:542

    Article  ADS  Google Scholar 

  • Fermi E (1934) On the pressure shift of the higher levels of a spectral line series. Nuovo Cimento 11:157

    Article  Google Scholar 

  • Kittel C (1996) Introduction to solid state physics, 7th edn. Wiley, New York

    Google Scholar 

  • Kohn W, Sham LJ (1965) Self-consistent equations including exchange and correlation effects. Phys Rev 140:A1133

    Article  ADS  MathSciNet  Google Scholar 

  • Liu AY, Cohen ML (1989) Prediction of new low compressibility solids. Science 245:841

    Article  ADS  Google Scholar 

  • Moussa JE, Cohen ML (2006) Two bounds on the maximum phonon-mediated superconducting transition temperature. Phys Rev B 74:094520

    Google Scholar 

  • Moussa JE, Cohen ML (2008) Constraints on Tc for superconductivity in heavily boron-doped diamond. Phys Rev B 77:064518

    Article  ADS  Google Scholar 

  • Nagamatsu J, Nakagawa N, Muranaka T, Zenitani Y, Akimitsu J (2001) Superconductivity at 39 K in magnesium diboride. Nature 410:63

    Article  ADS  Google Scholar 

  • Narayan J, Bhaumik A (2015) Novel phase of carbon, ferromagnetism, and conversion into diamond. J Appl Phys 118:215303

    Article  ADS  Google Scholar 

  • Phillips JC, Kleinman L (1959) New method for calculating wave functions in crystals and molecules. Phys Rev 116:287–294

    Article  ADS  Google Scholar 

  • Phillips JC (1973) Bonds and bands in semiconductors. Academic, New York

    Google Scholar 

  • Sakai Y, Chelikowsky JR, Cohen ML (2018) Simulating the effect of boron doping in superconducting carbon. Phys. Rev. B 97:054501

    Google Scholar 

  • Walter JP, Cohen ML (1971) Electronic charge densities in semiconductors. Phys Rev Lett 26:17–19

    Article  ADS  Google Scholar 

  • Yu PY, Cardona M (1996) Fundamentals of semiconductors. Springer, Berlin

    Google Scholar 

Download references

Acknowledgments

This work was supported by National Science Foundation Grant No. DMR-1508412 and from the Theory of Materials Program at the Lawrence Berkeley National Lab funded by the Director, Office of Science and Office of Basic Energy Sciences, Materials Sciences and Engineering Division, US Department of Energy under Contract No. DE-AC02-05CH11231.

Author information

Authors and Affiliations

  1. Department of Physics, University of California at Berkeley, Berkeley, CA, USA

    Marvin L. Cohen

  2. Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, USA

    Marvin L. Cohen

Authors
  1. Marvin L. Cohen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Marvin L. Cohen .

Editor information

Editors and Affiliations

  1. Institute of Physics, Swiss Federal Institute of Technology – Lausanne, Lausanne, Switzerland

    Wanda Andreoni

  2. Department of Nuclear Science and Engineering, Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA

    Sidney Yip

Section Editor information

  1. Institute of Physics, Swiss Federal Institute of Technology - Lausanne, Lausanne, Switzerland

    Wanda Andreoni

  2. Department of Nuclear Science & Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA

    Sidney Yip

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Cohen, M.L. (2020). Modeling Solids and Its Impact on Science and Technology. In: Andreoni, W., Yip, S. (eds) Handbook of Materials Modeling. Springer, Cham. https://doi.org/10.1007/978-3-319-44677-6_88

Download citation

Publish with us

Policies and ethics

Search

Navigation