Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session B42: Topological Bands and Nonlinearity
11:30 AM–1:30 PM,
Monday, March 6, 2023
Room: Room 318
Sponsoring
Unit:
DMP
Chair: Wonhee Ko, University of Tennessee, Knoxville
Abstract: B42.00003 : Emergence of the non-Hermitian topology in generalized eigenvalue problems with Hermitian matrices*
11:54 AM–12:06 PM
Presenter:
Takuma Isobe
(University of Tsukuba)
Authors:
Takuma Isobe
(University of Tsukuba)
Tsuneya Yoshida
(Kyoto university)
Yasuhiro Hatsugai
(University of Tsukuba)
In this talk, we attempt a further extension of the topological band theory: extension of topological band theory to the generalized eigenvalue problem [7]. In particular, we elucidate the emergence of the symmetry-protected non-Hermitian topological band structure without non-Hermitian matrices. After that discussion, we analyze a toy model and apply our theory to an optical system.
[1] M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010).
[2] X. -L. Qi and S. -C. Zhang, Rev. Mod. Phys. 83, 1057 (2011).
[3] Y. Hatsugai, Phys. Rev. Lett. 71, 3697 (1993).
[4] K. Esaki, M. Sato, K. Hasebe, and M. Kohmoto, Phys. Rev. B 84, 205128 (2011).
[5] H. Shen, B. Zhen, and L. Fu, Phys. Rev. Lett. 120, 146402 (2018).
[6] Z. Gong, Y. Ashida, K. Kawabata, K. Takasan, S. Higashikawa, and M. Ueda, Phys. Rev. X 8, 031079 (2018).
[7] T. Isobe, T. Yoshida, and Y. Hatsugai, Phys. Rev. B 104, L121105 (2021).
*Support for Pioneering Research Initiated by the Next Generation
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700