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Band Calculation of 2D Square Lattice Using the Method of Successive Over-Relaxation

  • Shayari BasuEmail author
  • Syed Minhaz Hossain
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 41)

Abstract

Successive over-relaxation method has been adopted to find the wave functions corresponding to the band states and surface states and also to solve energy dispersion relation for 2D finite crystal of desirable shape and size with periodic and non-periodic potentials. This method enables us to study the finite size effect in 2D crystals without costing too much computer time like ab initio methods. The major advantage of over-relaxation method is its simplicity as well as its usefulness in both lower and higher dimensional finite systems.

Keywords

Successive over-relaxation Semiconductor Surface 2D system 

Notes

Acknowledgements

Shayari Basu is grateful to DST, Govt. of India for INSPIRE Fellowship.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of PhysicsIndian Institute of Engineering Science and TechnologyShibpur, HowrahIndia

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