On Some Ground State and Finite Temperature Properties of Mixed Valence Compounds Induced by Next to Next-Nearest-Neighbor (NNNN) Hopping

Authors

  • Piyali Ghosh Department of Physics, University of Kalyani, Kalyani-741235, West Bengal, India
  • Nanda Kumar Ghosh Department of Physics, University of Kalyani, Kalyani-741235, West Bengal, India

DOI:

https://doi.org/10.48165/

Keywords:

Mixed valence compound, Extended Falicov-Kimball model, Exact diagonalization method, Valence transition, Antiferromagnetic nature

Abstract

 In the present study, effects of next to next-nearest-neighbor (NNNN) hopping of d electrons in the crystal of mixed valence compounds has been discussed. For  convenient theoretical calculation and computer simulation within exact  diagonalization method, a small cluster of eight lattice sites is considered here to  investigate the valence transition through the study of the inter-site and on-site f-d correlation functions. Unusual magnetic behavior of mixed valence compounds has  also been examined. Antiferromagnetic (AF) order has been developed in the  compounds of rare earth elements with the addition of NNNN hopping interaction  within the extended Falicov-Kimball model. The extrapolation of the curves of the  reciprocal susceptibility (χ-1) intercept at a negative temperature which confirms AF  order in the system. 

References

Balaram V., (2019), Geoscience Frontiers 10, 1285.

Varma C. M., (1976), Rev. Mod. Phys. 48, 219.

Vainshtein E.E., Blokhin S.M., and Paderno Yu. B., (1965), Sov. Phys. Solid State 6, 2318. [4] Kasuya T., Takegahara K., Fujita T., Tanaka T., and Bannai E., (1979), J. Phys. (Paris) 40,308.

Bader. S. D, Phillips. N.E, and McWhan. D. B, (1973), Phys. Rev. B 7, 4686.

Cencarikova H., and Farkasovsky P., (2015), Phys. Stat. Sol. (b) 252, 333.

Gmitra M., Cencarikova H., and Farkasovsky P., (2014), Acta Physica Polonica A 126, 298.

Farkasovsky P., (2021), Condensed Matter Physics 23, 43709.

Farkasovsky P., and Cencarikova H., (2014), Eur. Phys. J. B 87, 209.

Farkasovsky P., and Regeciova L., (2020), Journal of Superconductivity and Novel Magnetism 33, 3463.

Farkasovsky P., (2021), Eur. Phys. J.B 94, 61. [12]Ghosh N.K., Bhowmick S.K., and Mondal N. S., (2011), Pramana- J. of Phys. 76, 139. [13]Cencarikova H., and Farkasovsky P., (2005), Phys. Stat. Sol(b) 242, 2061.

Farkasovsky P., (2019), Eur. Phys. J.B 92, 141.

Bhowmick S.K., and Ghosh N.K., (2012), Pramana- J. of Phys. 78, 289.

Ghosh N.K., and Mukherjee P., (2016), AIP Conf. Proc. 1728, 020016.

Mukherjee P., and Ghosh N.K., (2017), Bull. Of Pure and Appl. Sc. 36D, 80.

Bhowmick S.K., and Ghosh N.K., (2012) Indian J. Phys. 86, 345.

Mukherjee P., and Ghosh N.K., (2018) Int. J. of Current Trends in Sc. and Technology 8, 20195.

Falicov L.M., and Kimball J.C., (1969), Phys. Rev. Lett. 22, 997.

Roy K., Ghosh S., Nath S., and Ghosh N. K., (2019), Eur. Phys. J. B 92, 270

Entel P., Leder H. J., and Grewe N., (1978), Z. Phys. B 30, 277.

Kittel C., (2007). Introduction to Solid State Physics (7th ed.). New Delhi: Wiley India Pvt. Ltd.

Farkasovsky P., et al. (2022) J. Phys.: Condens. Matter (inpress) https://doi.org/10.1088/1361-648X/ac8bbf

Downloads

Published

2022-12-15

Issue

Vol. 41 No. 2 (2022): Bulletin of Pure and Applied Science-Physics (Jul-Dec) 2022

Section

Articles

How to Cite

On Some Ground State and Finite Temperature Properties of Mixed Valence Compounds Induced by Next to Next-Nearest-Neighbor (NNNN) Hopping . (2022). Bulletin of Pure and Applied Sciences – Physics, 41(2), 59–64. https://doi.org/10.48165/