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Quantum transport in fractal lattices with Coulomb interaction
Konobeeva N.N.
1, Trofimov R.R.1, Belonenko M.B.
1
1Volgograd State University, Volgograd, Russia
Email: yana_nn@volsu.ru
In this paper, we study quantum transport, namely, the dynamics of the electron density in a fractal lattice during the propagation of electrons in it. The fractal lattice is composed of nanowires and has the form of a Sierpinski triangle in the direction perpendicular to the direction of electron propagation. The fundamental point is to take into account the Coulomb repulsion of electrons at one lattice site. Keywords: quantum transport, fractals, Hubbard model.
- D. ben-Avraham, S. Havlin. Difusion and reactions in fractals and disordered systems (Cambridge University Press, Cambridge, 2000) p. 33
- L. Gmachowski. Eur. Biophys. J., 44 (8), 613 (2015). DOI: 10.1007/s00249-015-1054-5
- H.G. Sun, Z. Li, Y. Zhang, W. Chen. Chaos, Solitons \& Fractals, 102 (C), 346 (2017). DOI: 10.1016/j.chaos.2017.03.060
- J. Wagenhuber, T. Geisel, P. Niebauer, G. Obermair. Phys. Rev. B, 45, 4372 (1992). DOI: 10.1103/PhysRevB.45.4372
- X.-Y. Xu, X.-W. Wang, D.-Y. Chen, C.M. Smith, X.-M. Jin. Nature Photonics, 15, 703 (2021). DOI: 10.1038/s41566-021-00845-4
- J. Shang, Y. Wang, M. Chen, J. Dai, X. Zhou, J. Kuttner, G. Hilt , X. Shao, J.M. Gottfried, K. Wu. Nature Chem., 7 (5), 389 (2015). DOI: 10.1038/nchem.2211
- S.N. Kempkes, M.R. Slot, S.E. Freeney, S.J.M. Zevenhuizen, D. Vanmaekelbergh, I. Swart, C. Morais Smith. Nature Physics, 15, 127 (2019). DOI: 10.1038/s41567-018-0328-0
- R.T. Sibatov, A.K. Golmankhaneh, R.M. Meftakhutdinov, E.V. Morozova, D.A. Timkaeva. Fractal Fract., 6 (2), 115 (2022). DOI:10.3390/fractalfract6020115
- N.N. Konobeeva, M.B. Belonenko. Nanosystems: physics, chemistry, mathematic, 14 (1), 54 (2023). DOI: 10.17586/2220-8054-2023-14-1-54-58
- E. van Veen, S. Yuan, M.I. Katsnelson, M. Polini, A. Tomadin. Phys. Rev. B, 93, 115428 (2016). DOI: 10.1103/PhysRevB.93.115428
- D.P. Arovas, E. Berg, S.A. Kivelson, S. Raghu. Ann. Rev. Condens. Matter Phys., 13, 239 (2022). DOI: 10.1146/annurev-conmatphys-031620-102024
- L. Wu. SIAM J. Numer. Anal., 33(4), 1526 (1996).
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