南京师大学报（自然科学版）2025，Vol.48Issue(6)：11-19,9.DOI:10.3969/j.issn.1001-4616.2025.06.002
一维广义Interpolating Aubry-André-Fibonacci模型中的量子相变
Quantum Phase Transition in One Dimension Generalized Interpolating Aubry-André-Fibonaccia Model
摘要
Abstract
In this paper,we investigate the localization transition in a one-dimensional lattice described by generalized Interpolating Aubry-André-Fibonacci model with p-wave superconducting pairing.We demonstrate that the quantum phase transition can be induced by tuning the system parameters.Focusing on the case when the chemical potential approaches the cosine structure,the system undergoes transitions sequentially from the extended phase to the intermediate phase,and from the intermediate phase to the localized phase.The analytical solutions of these phase transition boundaries are provided.Further more,by calculating order parameters such as the average inverse participation rate,the normalized average participation rate,the fractal dimension and analyzing the scaling behavior,we find the numerical results are fully coincide with the analytical solutions.Based on the above results,we confirm that the system indeed undergoes the phase transition.However,when the chemical potential is close to the Fibonacci structure,by calculating the fractal dimension,the participation rate,the average fractal dimension and other order parameters,it is observed that non-trivial changes have occurred in the phase boundaries of the system,resulting in deviations between the numerical results and analytical analytical solutions.Especially,the extended phase is suppressed and the system exhibits delocalization transition,which induced the increasing of the intermediate phase.Moreover,our research shows that the eigenstates within the band edge regions are more likely to be driven from the localized phase into an intermediate phase by the tuning of parameters.The conclusion of this paper indicates we can induce the quantum phase transition through changing the potential structure by adjusting the parameters of system.This work provides a new perspective on the study of phase transitions in quasi-periodic structures with p-wave superconducting pairing.关键词
量子相变/准周期/广义Interpolating Aubry-André-Fibonacci模型/p波超导/中间相Key words
quantum phase transition/quasiperiodic/generalized Interpolating Aubry-André-Fibonacci model/p-wave superconducting pairing/intermediate phase分类
数理科学引用本文复制引用
Wang Fengmei,Liu Jia..一维广义Interpolating Aubry-André-Fibonacci模型中的量子相变[J].南京师大学报（自然科学版）,2025,48(6):11-19,9.基金项目
国家自然科学基金项目(11547134)、山西省基础研究计划面上项目(202203021211337)、山西科技学院高层次人才科研启动经费项目(2023010,2024010,2024017). （11547134）
