Preview

Magnetic Resonance in Solids

Advanced search

Calculation of the matrix elements of the long-range Coulomb interaction in low-symmetry crystals

Abstract

The expressions for calculating the matrix elements of the Coulomb interaction between an electron and a low-symmetry infinite crystal lattice have been obtained. One-center matrix elements are considered. The Gaussian type of orbitals (GTO) is used in calculations. All expressions are absolutely and rapidly converging series in the space of reciprocal lattice vectors.

About the Author

O. A. Anikeenok
Kazan Federal University
Russian Federation

Kremlevskaya 18, Kazan 420008



References

1. Ewald P.P. Ann. der Physik 64, 253 (1921)

2. Evjen H.M. Phys. Rev. 39, 675 (1932)

3. Sabry A., Ayadi M., Choukn A. Comput. Mater. Sci. 18, 345 (2000)

4. Horiuchi S., Shirakawa T., Ohta Y. Phys. Rev. B 77, 155120 (2008)

5. Anikeenok O.A. Magn. Reson. Solids 13, 27 (2011)

6. Anikeenok O.A. Phys. Solid State 54, 1847 (2012) (Fizika Tverdogo Tela 54, 1733 (2012), in Russian)

7. Falin M.L., Anikeenok O.A., Latypov V.A., Khaidukov N.M., Callens F., Vrielinck H., Hoefstaetter A. Phys. Rev. B 80, 174110 (2009)

8. Anikeenok O.A. Phys. Solid State 55, 2304 (2013) (Fizika Tverdogo Tela 55, 2190 (2013), in Russian)

9. Acimoto J., Gotoh Y., Oosawa Y. Acta Crystallogr. 50, 160 (1994)

10. Burbank R.D., Evans H.T. Acta Crystallogr. 1, 330 (1948)

11. Clementi E., Mclean F.D. Phys. Rev. 133, A419 (1964)


Review

For citations:


Anikeenok O.A. Calculation of the matrix elements of the long-range Coulomb interaction in low-symmetry crystals. Magnetic Resonance in Solids. 2018;20(1):18105 (8 pp.).

Views: 23


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2072-5981 (Online)