By Prof. Ken Imura, Institute of Industrial Science, the University of Tokyo, Japan

Abstract:Topological properties of topological matter are protected by the topology of the wave function, which does no change unless the system is perturbed so strongly that the bulk energy gap closes (as a result, related bands get inverted). In ref. [1], using such a protected topological property, we have proposed a recipe for realizing an ultra-low-energy consuming nanocircuit on terraces of a weak topological insulator. In refs. [2-3], topological insulator and Weyl semimetal thin (nano-) films have been studied from the viewpoint of the dimensional crossover of topological properties in these systems. In ref. [4] the idea of topological insulator has been generalized to non-Hermitian systems. After reviewing these works on topological matter, I will discuss in the body of the talk, our recent work [5] on the entanglement dynamics in a (Hatano-Nelson type [6]) non-Hermitian system.

References:

1. [1] Phys. Rev. B 88, 045408 (2013) https://doi.org/10.1103/PhysRevB.88.045408
2. [2] Phys. Rev. B 92, 235407 (2015) https://doi.org/10.1103/PhysRevB.92.235407
3. [3] Phys. Rev. B. 94, 235414 (2016) https://doi.org/10.1103/PhysRevB.94.235414
4. [4] Phys. Rev. B 100, 165430 (2019) https://doi.org/10.1103/PhysRevB.100.165430
5. [5] arXiv:230803078 https://arxiv.org/abs/2308.03078
6. [6] N. Hatano, D.R. Nelson, Phys. Rev. Lett., 77, 570 (1996) https://doi.org/10.1103/PhysRevLett.77.570

Hosted by Prof. Stephan Roche, Theoretical and Computational Nanoscience Group Leader at ICN2.