“Abelian and non-Abelian geometric phases in quantum networks”

In this talk, I will present a theory for studying the spectral and the transport properties of mesoscopic systems with a technique known as the quantum network or graph [1]. Specifically, I will consider quantum networks in the presence of Abelian and non-Abelian geometric phases. For the former case, I will consider the orbital contribution of the magnetic field [1,2]. Whereas, for the latter, I will consider both non-Abelian geometric fields that conserve time-reversal symmetry as spin-orbit interactions and terms that breaks time-reversal symmetry as Zeeman contribution of the magnetic field [3]. I will present its application in various quantum network geometries [2,4,5]. Finally, I will show results for polygonal structures resembling rings [6,7,8,9].

[1] S. Gnutzmann & U. Smilansky, Adv. Phys. 55, 527 (2006).

[2] J. Vidal, G. Montambaux, & B. Douçot, Phys. Rev. B 62, 16294 (2000).

[3] D. Bercioux & P. Lucignano, Rep. Prog. Phys. 78, 106001 (2015).

[4] D. Bercioux, M. Governale, V. Cataudella, & V. M. Ramaglia, Phys. Rev. Lett. 93, 056802 (2004).

[5] D. Bercioux, M. Governale, V. Cataudella, & V. M. Ramaglia, Phys. Rev. B 72, 075305 (2005).

[6] D. Bercioux, D. Frustaglia, and M. Governale, Phys. Rev. B 72, 113310 (2005).

[7] A. Hijano, T. M. van den Berg, D. Frustaglia & D. Bercioux, Phys. Rev. B 103, 155419 (2021).

[8] E. Rodríguez & D. Frustaglia, Phys. Rev. B 104, 195308 (2021)

[9] A. Hijano, E. Rodríguez,4 D. Bercioux, & D. Frustaglia, in preparation (2022).

 Transmisión vía Youtube: bit.ly/YouTube_ICF

Participante: Dr. Dario Bercioux

Institución: Donostia International Physics Center (DIPC), España

Fecha y hora: Este evento terminó el Miércoles, 22 de Junio de 2022