[1]王凤梅,刘 甲.一维广义Interpolating Aubry-Andr-Fibonacci模型中的量子相变[J].南京师大学报(自然科学版),2025,48(06):11-19.[doi:10.3969/j.issn.1001-4616.2025.06.002]
　Wang Fengmei,Liu Jia.Quantum Phase Transition in One Dimension Generalized Interpolating Aubry-Andr-Fibonaccia Model[J].Journal of Nanjing Normal University(Natural Science Edition),2025,48(06):11-19.[doi:10.3969/j.issn.1001-4616.2025.06.002]
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一维广义Interpolating Aubry-André-Fibonacci模型中的量子相变()

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
48
期数:
2025年06期
页码:
11-19
栏目:
物理学
出版日期:
2025-12-20

文章信息/Info

Title:
Quantum Phase Transition in One Dimension Generalized Interpolating Aubry-André-Fibonaccia Model
文章编号:
1001-4616(2025)06-0011-09
作者:
王凤梅; 刘 甲
(山西科技学院通识教育学院,山西 晋城 048000)
Author(s):
Wang Fengmei; Liu Jia
(General Education College,Shanxi Institute of Science and Technology,Jincheng 048000,China)
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
Keywords:
quantum phase transition; quasiperiodic; generalized Interpolating Aubry-André; -Fibonacci model; p-wave superconducting pairing; intermediate phase
分类号:
O431
DOI:
10.3969/j.issn.1001-4616.2025.06.002
文献标志码:
A
摘要:
本文主要研究了具有p波超导配对的一维广义Interpolating Aubry-André-Fibonacci模型中的局域化转变,发现通过调控系统参数会诱导系统发生量子相变. 当化学势接近余弦结构时,系统依次经历了扩展相、中间相和局域相的转变,并给出了相边界的解析解; 通过计算平均逆参与率、归一化的平均参与率、分形维度等序参量,并进行标度分析,发现解析结果与数值结果一致,进一步确认系统确实发生了相变; 当化学势接近斐波那结构时,通过计算分形维度、参与率、平均分形维度等序参量,指出系统的相边界发生了非平庸的变化,数值结果和解析结果出现偏离,同时扩展相被抑制,系统出现退局域化现象,中间相增多,且位于带边区域的本征态更容易由局域相进入中间相. 说明可以通过调控系统参数改变化学势结构,进而诱导系统发生量子相变. 这一结论为具有p波超导配对的准周期结构中相变的研究提供了新的参考.
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.

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备注/Memo

备注/Memo:
收稿日期:2025-02-22.
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).
通讯作者:刘甲,硕士,副教授,研究方向:量子输运. E-mail:519033536@qq.com
更新日期/Last Update: 2025-12-20