Spin-aligned butterfly spectral map in Non-Hermitian quasicrystals

TL;DR

This paper investigates a non-Hermitian spinful Aubry-André-Harper model with spin-orbit coupling and textured magnetic fields, revealing a butterfly spectral map with asymmetric spin alignment caused by the interplay of non-Hermiticity, spin-orbit interaction, and magnetic textures.

Contribution

It introduces a novel spectral map in a non-Hermitian quasicrystal model, highlighting the combined effects of non-Hermiticity, spin-orbit coupling, and textured magnetic fields.

Findings

Discovery of a butterfly spectral map in the spectrum.

Asymmetric spin alignment in the spectral wings.

Spectral map onset due to combined effects of non-Hermiticity, RSOC, and magnetic field.

Abstract

The Non-Hermitian spinful Aubry-Andr\'e-Harper (AAH) model in the presence of Rashba-type spin-orbit coupling (RSOC) and a spatially varying textured magnetic field is studied. Interestingly, our analysis produces a butterfly spectral map due to the non-trivial extent of localization of the states in the spectrum. This spectral map also exhibits an asymmetric spin alignment with respect to the wings of the butterfly. Our analysis also suggests that the onset of such a spectral map is a combined effect of the non-hermiticity, spin-orbit interaction, and the textured magnetic field.