A STUDY OF CONDUCTIVITY IN THE EXTENDED HUBBARD MODEL
https://doi.org/10.56304/S2079562925060181
EDN: DYVSZS
Abstract
In this paper an electrical conductivity in the extended Hubbard model on a hexagonal lattice is computed as a function of the intensity of the electrons’ interaction at neighbouring lattice sites in the region of the phase diagram where the neighbouring interaction and the on-site interaction approximately compensate each other. The study was performed using the Hybrid Monte Carlo method with Hubbard node and link fields. A regular excess of conductivity over a ballistic one was found.
About the Authors
S. D. Mostovoy
Lomonosov Moscow State University
Russian Federation
Russian Federation
O. V. Pavlovsky
Lomonosov Moscow State University;
National Research Centre “Kurchatov Institute”
Russian Federation
Russian Federation
References
1. Smith D., von Smekal L. // Phys. Rev. B. 2014. V. 89 (19). P. 195429.
2. Buividovich P. et al. // Phys. Rev. B. 2018. V. 98 (23). P. 235129.
3. Buividovich P. et al. // Phys. Rev. B. 2019. V. 99 (20). P. 205434.
4. Mostovoy S., Pavlovsky O. // Phys. Rev. E. 2023. V. 107 (2). P. 025307.
5. Katsnelson M.I. // Mater. Today. 2007. V. 10 (1–2). P. 20–27.
6. Landauer R. // IBM J. Res. Dev. 1957. V. 1 (3). P. 223–231.
7. Шарвин Ю.В. // Журн. эксп. теор. физ. 1965. Т. 48. C. 984–985 [Sharvin Yu.V. // J. Exp. Theor. Phys. 1965. V. 21 (3). P. 655–656].
8. Beenakker C.W.J., van Houten H. // Solid State Phys. 1991. V. 44. P. 1–228.
9. De Jong M.J.M., Molenkamp L.W. // Phys. Rev. B. 1995. V. 51 (19). P. 13389.
10. Krishna Kumar R. et al. // Nature Phys. 2017. V. 13 (12). P. 1182–1185.
11. Gooth J. et al. // Nat. Commun. 2018. V. 9 (1). P. 4093.
12. Andreev A.V., Kivelson S.A., Spivak B. // Phys. Rev. Lett. 2011. V. 106 (25). P. 256804.
13. Torre I. et al. // Phys. Rev. B. 2015. V. 92 (16). P. 165433.
14. Guo H. et al. // Proc. Natl. Acad. Sci. U. S. A. 2017. V. 114 (12). P. 3068–3073.
15. Boyda D.L. et al. // Phys. Rev. B. 2016. V. 94 (8). P. 085421.
16. Kubo R. // J. Phys. Soc. Jpn. 1957. V. 12 (6). P. 570–586.
17. Mahan G.D. Nonzero Temperatures. In: Many-Particle Physics. Physics of Solids and Liquids. 2000. Boston: Springer. P. 109–185. https://doi.org/10.1007/978-1-4757-5714-9_3
18. Backus G., Gilbert F. // Geophys. J. Int. 1968. V. 16 (2). P. 169–205.
19. Press W.H., Flannery B.P., Teukolsky S.A., Vetterling W.T. Numerical recipes in C—the art of scientific computing. 1988. Cambridge: Cambridge Univ. Press.
Review
For citations:
Mostovoy S.D., Pavlovsky O.V. A STUDY OF CONDUCTIVITY IN THE EXTENDED HUBBARD MODEL. Nuclear Physics and Engineering. 2026;17(1):83-87. (In Russ.) https://doi.org/10.56304/S2079562925060181. EDN: DYVSZS
Views:
123
JATS XML
Email this article 