Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session N17: Topology in New Settings: Non-Hermitian and Beyond
11:30 AM–2:18 PM,
Wednesday, March 6, 2024
Room: M100H
Sponsoring
Unit:
DCMP
Chair: Saavanth Velury, University of Illinois at Urbana-Champaign
Abstract: N17.00001 : Analysis of the bulk-boundary correspondence in nonlinear eigenvalue problems by the auxiliary eigenvalues*
11:30 AM–11:42 AM
Presenter:
Takuma Isobe
(Univ. of Tsukuba)
Authors:
Takuma Isobe
(Univ. of Tsukuba)
Tsuneya Yoshida
(Kyoto Univ.)
Yasuhiro Hatsugai
(Univ. of Tsukuba)
In this talk, we address the bulk-boundary correspondence (BBC) [5] in systems with the nonlinearity of eigenvalues. Specifically, we introduce auxiliary eigenvalues of the matrix pencil and establish the BBC between the bulk topology of auxiliary eigenstates and physical boundary states [6]. We demonstrate the existence of the BBC in insulators and semimetals by analyzing models with nonlinearities of eigenvalues.
[1] M. Z. Hasan and C. L. Kane, RMP 82, 3045 (2010).
[2] X. -L. Qi and S. -C. Zhang, RMP 83, 1057 (2011).
[3] F. D. M. Haldane and S. Raghu, PRL 100, 013904 (2008).
[4] K. Sone, Y. Ashida, and T. Sagawa, PRR 4, 023211 (2022).
[5] Y. Hatsugai, PRL 71, 3697 (1993).
[6] T. Isobe, T. Yoshida, and Y. Hatsugai, arXiv:2310.12577 (2023).
*This work is supported by JST-SPRING Grant No. JPMJSP2124.
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