Effective Spin Hamiltonian

Authors

  • Manoj Kumar Singh H.O.D Physics, B.P.S College (B.R.A.B.U.) Desari, Vaishali, Bihar 844504, India

DOI:

https://doi.org/10.48165/

Keywords:

Euler’s equation, Schrodinger’s time dependent equation, Pruisken field theory, Anderson Model, Jacobian Transformation, Perturbation & Green function, Dugaev & Litvinov spins

Abstract

In the introduction, definition of Hamiltonian (Relativistic & Non-Relativistic),  Euler’s equation and Schrodinger’s time dependent equation are used. Hamiltonian  field theory (given by Pruskin) is used Anderson Model and Jacobian  Transformation are applied. Perturbation and Green function are used. Dimmock  Hamiltonian, Dugaev and Litvinov spins (S1 and S2) are used. Heff. in  ( ) P M A A T ,S ,S b n e e −= is obtained. Various temperature and band parameters for  1 x x P M T b n e − 1 x x for x = 0.1 & x = 0.01 are listed in table. 

References

Dugaev V.K. and. Litvinov V.I, Phy. Rev. B.41, 788 (1990)

Ruderman M. - Kittel – Kasuya – Yosida, Phy Rev. 96,99 (1954)

Morozovski A.E., J. Exp. Theror; Phy – Vol – 82, no. – 2; 361 (1996)

Dimmok O. , J. Phys. Chem. Solids 32, Suppl 319 (1971)

Edelstein V.M., JEPT. Lett. Vol – 67, no. -2, 159 (1998)

Hui P.M. and Wan W.M.V., Appl Phys. Lett. Vol – 69, no-12, 1810 (1996)

Ohe N. and Saitoh T., Sol Energy Matter, sol cells Vol – 48, No. 1-4, 145 (1997).

Katz A. Classical Mechanics, Quantum Mechanics, Field theory. Chap-1 (Academic, New

York, 1965)

Published

2020-12-15

How to Cite

Effective Spin Hamiltonian . (2020). Bulletin of Pure and Applied Sciences – Physics, 39(2), 169–175. https://doi.org/10.48165/