QuMat seminar

Quantum fractals: from meta- to real materials Speaker: Cristiane de Morais Smith – Utrecht University Host: Daniel Vanmaekelbergh

Abstract:

We know how electrons behave in 1,2,3 dimensions, but what about d=1.58? In this talk, I will first describe fractals, structures that may have a non-integer dimension. Then I will present experiments on electronic [1] and photonic [2] quantum simulators and explain how electrons and photons behave at fractal dimension. Finally, I will discuss the fractal-lattice Hubbard model [3] and the topological properties of electrons in self-formed bismuth fractals on InSb [4].

[1] S.N. Kempkes, M.R. Slot, S.E. Freeney, S.J.M. Zevenhuizen, D. Vanmaekelbergh, I. Swart, and C. Morais Smith, “Design and characterization of electronic fractals”, Nature Physics 15, 127(2019) [see also 15 years of Nature Physics, Nature Physics 16, 999 (2020)].
[2] X.-Y. Xu, X.-W. Wang, D.-Y. Chen, C. Morais Smith, and X.-M. Jin, “Quantum transport in fractal networks,” Nature Photonics 15, 703 (2021).

[3] M. Conte, V. Zampronio, M. Rontgen, and C. Morais Smith, “The Fractal-Lattice Hubbard Model” ArXiv: 2310.07813.

[4] R. Canyellas, Chen Liu, R. Arouca, L. Eek, G. Wang, Y. Yin, D. Guan, Y. Li, S. Wang, H. Zheng, Canhua Liu, J. Jia, and C. Morais Smith, “Topological edge and corner states in Bi fractals on InSb,” ArXiv:2309.09860, in print Nature Physics (2024).

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