物理学报2025，Vol.74Issue(10)：36-44,9.DOI:10.7498/aps.74.20250137
准晶势调制的一维p波超导体中的拓扑量子相变
Topological quantum phase transitions in quasicrystalline potential modulated one-dimensional p-wave superconductors
摘要
Abstract
The topological phase transitions and localization properties in a 1D p-wave superconductor under Fibonacci quasi-periodic potential modulation are investigated in this work.By calculating the Z2 topological invariant,the topological phase diagram of the system is determined numerically.It is found that the system can transition from a topologically trivial phase to a topological Anderson superconductor phase through the Fibonacci quasi-periodic modulation.Moreover,under certain parameters,the system undergoes multiple topological Anderson superconductor phase transitions,accompanied by the emergence of zero-energy modes.However,in the case of strong disorder,the topological Anderson superconductor phase is destroyed,indicating that the topological Anderson superconductor phase can be induced only within a finite range of parameters.Furthermore,by calculating and analyzing the fractal dimension and the mean inverse participation ratio(MIPR)order parameter,the localization properties of the system are analyzed.The results show that regardless of how the disorder intensity increases,the fractal dimension values of most eigenstates always remain within a range of 0-1.Subsequently,the variations in the fractal dimensions of all eigenstates for different system sizes are studied.The results show that the fractal dimension values of most eigenstates are away from 0 and 1.These results indicate that the wavefunction in the bulk of the topological Anderson superconductor phase induced by Fibonacci quasi-periodic potential is a critical state wavefunction,with the system overall being in a critical phase.The stability of the critical phase is confirmed by scale behavior of MIPR as shown in figure. It differs from the traditional topological Anderson superconductor phase induced by random disorder or AA-type quasi-periodic disorder.The results provide new insights into and references for studying topological phase transitions and localization transi-tions in 1D p-wave superconductors.关键词
p波超导体/准晶势/拓扑相变Key words
p-wave superconductor/quasicrystals potentials/topological phase transition引用本文复制引用
古燕,王智鹏,陆展鹏..准晶势调制的一维p波超导体中的拓扑量子相变[J].物理学报,2025,74(10):36-44,9.基金项目
国家自然科学基金(批准号:12205176)、山西省基础研究计划自由探索类青年项目(批准号:202403021212025)资助的课题. Project is supported by the National Natural Science Foundation of China(Grant No.12205176)and the Fundamental Research Program of Shanxi Province,China(Grant No.202403021212025). （批准号:12205176）
