Abstract: The non-Hermitian skin effect has emerged as a prominent topic of theoretical and experimental research in recent years. It refers to a fascinating phenomenon where the eigenstate wave functions can be localized near the boundaries in an open system. The appearance of the non-Hermitian skin effect signifies the breakdown of traditional Bloch’s theorem and band theory. To quantitatively characterize this effect, researchers have developed the Generalized Brillouin Zone Theory. In this presentation, I will cover the following points:

1. What is the non-Hermitian skin effect?

2. Introduction to the Generalized Brillouin Zone Theory.

3. Methods for realizing and detecting the non-Hermitian skin effect in condensed matter systems.

4. Challenges related to two-dimensional Generalized Brillouin Zone Theory.

Refereces:

[1] Kai Zhang*, Zhesen Yang*, and Chen Fang†, Phys. Rev. Lett. 125, 126402 (2020).

[2] Zhesen Yang*, Kai Zhang*, Chen Fang†, and Jiangping Hu†, Phys. Rev. Lett. 125, 226402 (2020).

[3] Kai Zhang, Zhesen Yang†, and Chen Fang†, Nat Commun 13, 2496 (2022).

[4] Yifei Yi, and Zhesen Yang†, Phys. Rev. Lett. 125, 186802 (2020).

[5] Kai Zhang, Chen Fang†, and Zhesen Yang†, Phys. Rev. Lett. 131, 036402 (2023).

[6] Zeqi Xu, Bo Pang, Kai Zhang† and Zhesen Yang†, arXiv:2311.16868

Profile：

Zhesen Yang is a professor at the School of Physical Science and Technology, Xiamen University. He graduated from the Institute of Physics, Chinese Academy of Sciences, in 2020 and subsequently conducted postdoctoral research at the Kavli Institute for Theoretical Sciences, Chinese Academy of Sciences. He has received support from the 2021 Postdoctoral Innovation Talent Program and the National Natural Science Foundation of China for Outstanding Young Scholars. His primary research interests lie in novel physical phenomena in non-Hermitian systems, particularly the non-Hermitian skin effect.