Localization control born of intertwined quasiperiodicity and
non-Hermiticity
- URL: http://arxiv.org/abs/2211.14336v3
- Date: Thu, 10 Aug 2023 04:28:37 GMT
- Title: Localization control born of intertwined quasiperiodicity and
non-Hermiticity
- Authors: Junmo Jeon, SungBin Lee
- Abstract summary: We show for the first time that the intertwined quasiperiodicity and non-Hermiticity can give rise to striking effects.
In particular, we explore the wave function localization character in the Aubry-Andre-Fibonacci (AAF) model.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quasiperiodic systems are neither randomly disordered nor translationally
invariant in the absence of periodic length scales. Based on their
incommensurate order, novel physical properties such as critical states and
self-similar wavefunctions have been actively discussed. However, in open
systems generally described by the non-Hermitian Hamiltonians, it is hardly
known how such quasiperiodic order would lead to new phenomena. In this work,
we show for the first time that the intertwined quasiperiodicity and
non-Hermiticity can give rise to striking effects: perfect delocalization of
the critical and localized states to the extended states. In particular, we
explore the wave function localization character in the Aubry-Andre-Fibonacci
(AAF) model where non-reciprocal hopping phases are present. Here, the AAF
model continuously interpolates the two different limit between metal to
insulator transition and critical states, and the nonHermiticity is encoded in
the hopping phase factors. Surprisingly, their interplay results in the perfect
delocalization of the states, which is never allowed in quasiperiodic systems
with Hermiticity. By quantifying the localization via inverse participation
ratio and the fractal dimension, we discuss that the non-Hermitian hopping
phase leads to delicate control of localization characteristics of the wave
function. Our work offers (1) emergent delocalization transition in
quasiperiodic systems via non-Hermitian hopping phase, (2) detailed
localization control of the critical states, In addition, we suggest an
experimental realization of controllable localized, critical and delocalized
states, using photonic crystals.
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