Critical hybridization of skin modes in coupled non-Hermitian chains

30Citations
Citations of this article
10Readers
Mendeley users who have this article in their library.

Abstract

Non-Hermitian topological systems exhibit a plethora of unusual topological phenomena including the extreme localization of eigenstates, known as the non-Hermitian skin effect (NHSE), which occurs in open chains. However, the non-Hermitian characteristics of coupled non-Hermitian chains remain largely unexplored. Here, we report on the eigenstate localization in coupled non-Hermitian chains with dissimilar inverse skin lengths in which the NHSE can be switched on and off by modulating the interchain coupling strength. In the limit of small interchain strength, the NHSE is present at both ends of the coupled system because of the weak hybridization of the eigenstates of the individual chains. The eigenspectrum under open boundary conditions (OBC) exhibits a discontinuous jump known as the critical NHSE (CNHSE) as the chain length increases. However, when the interchain coupling strength and hence, the hybridization between eigenstates become significant, the NHSE and CNHSE vanish. Instead, a peculiar "half-half skin localization"occurs in composite chains with opposite signs of inverse skin lengths, where half of the eigenstates are exponentially localized at one chain and the remainder of the eigenstates on the other chain. Our results provide new insights into the non-Hermitian phenomena in coupled systems.

References Powered by Scopus

Quantum spin hall effect

1805Citations
N/AReaders
Get full text

The valley hall effect in MoS<inf>2</inf> transistors

1620Citations
N/AReaders
Get full text

Topological Phases of Non-Hermitian Systems

1220Citations
N/AReaders
Get full text

Cited by Powered by Scopus

Topological non-Hermitian skin effect

141Citations
N/AReaders
Get full text

Non-Hermitian many-body localization with open boundaries

44Citations
N/AReaders
Get full text

Non-Hermitian skin effect and self-acceleration

40Citations
N/AReaders
Get full text

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Rafi-Ul-Islam, S. M., Siu, Z. B., Sahin, H., Lee, C. H., & Jalil, M. B. A. (2022). Critical hybridization of skin modes in coupled non-Hermitian chains. Physical Review Research, 4(1). https://doi.org/10.1103/PhysRevResearch.4.013243

Readers' Seniority

Tooltip

PhD / Post grad / Masters / Doc 1

50%

Researcher 1

50%

Readers' Discipline

Tooltip

Physics and Astronomy 4

80%

Social Sciences 1

20%

Save time finding and organizing research with Mendeley

Sign up for free