Engineering a non-Hermitian second-order topological insulator state in quasicrystals

Rangi, Chakradhar; Tam, Ka-Ming; Moreno, Juana

doi:10.1103/physrevb.109.064203

Engineering a non-Hermitian second-order topological insulator state in quasicrystals

Journal Article · Thu Feb 08 23:00:00 EST 2024 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.109.064203· OSTI ID:2479367

^[1]; Tam, Ka-Ming ^[2]; ^[2]

Louisiana State University, Baton Rouge, LA (United States); Louisiana State University
Louisiana State University, Baton Rouge, LA (United States)

Non-Hermitian topological phases have gained immense attention due to their potential to unlock novel features beyond Hermitian bounds. PT -symmetric (parity time-reversal symmetric) non-Hermitian models have been studied extensively over the past decade. In recent years, the topological properties of general non-Hermitian models, regardless of the balance between gains and losses, have also attracted vast attention. Here, we propose a non-Hermitian second-order topological (SOT) insulator that hosts gapless corner states on a two-dimensional quasicrystalline lattice (QL). We first construct a non-Hermitian extension of the Bernevig-Hughes-Zhang model on a QL generated by the Amman-Beenker tiling. This model has real spectra and supports helical edge states. Corner states emerge by adding a proper Wilson-mass term that gaps out the edge states. We propose two variations of the mass term that result in fascinating characteristics. In the first variation, we obtain a purely real spectra for the second-order topological phase. In the latter, we get a complex spectra with corner states localized at only two corners due to the higher-order non-Hermitian skin effect of the edge modes. Furthermore, our findings pave a path to engineering exotic SOT phases where corner states can be localized at designated corners.

View Accepted Manuscript (DOE)

Research Organization:: Louisiana State University, Baton Rouge, LA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0017861

OSTI ID:: 2479367

Alternate ID(s):: OSTI ID: 2473306

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 6 Vol. 109; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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