Multiple intermediate phases in the interpolating Aubry-André-Fibonacci model

Fuente: arXiv
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Main Author: Guo, Chenyue
Format: Preprint
Published: 2024
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author Guo, Chenyue
author_facet Guo, Chenyue
contents We investigate a generalized interpolating Aubry-André-Fibonacci (IAAF) model with p-wave superconducting pairing. In the Aubry-André limit, we demonstrate that the system experiences transitions from a pure phase, either extended or critical, to a variety of intermediate phases and ultimately enters a localized phase with increasing potential strength. These intermediate phases include those with coexisting extended and localized states, extended and critical states, localized and critical states and a mix of extended, critical and localized states. Each intermediate phase exhibits at least one type of mobility edge separating different states. As the system approaches the Fibonacci limit, both the extended and localized phases diminish, and the system tends towards a critical phase.
format Preprint
id arxiv_https___arxiv_org_abs_2401_17000
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Multiple intermediate phases in the interpolating Aubry-André-Fibonacci model
Guo, Chenyue
Disordered Systems and Neural Networks
Statistical Mechanics
We investigate a generalized interpolating Aubry-André-Fibonacci (IAAF) model with p-wave superconducting pairing. In the Aubry-André limit, we demonstrate that the system experiences transitions from a pure phase, either extended or critical, to a variety of intermediate phases and ultimately enters a localized phase with increasing potential strength. These intermediate phases include those with coexisting extended and localized states, extended and critical states, localized and critical states and a mix of extended, critical and localized states. Each intermediate phase exhibits at least one type of mobility edge separating different states. As the system approaches the Fibonacci limit, both the extended and localized phases diminish, and the system tends towards a critical phase.
title Multiple intermediate phases in the interpolating Aubry-André-Fibonacci model
topic Disordered Systems and Neural Networks
Statistical Mechanics
url https://arxiv.org/abs/2401.17000