Level-spacing distribution of localized phases induced by quasiperiodic potentials

Yang, Chao; Wang, Yucheng1

2024-06-26

10.1103/PhysRevB.109.214210

PHYSICAL REVIEW B   影响因子和分区

2469-9950

2469-9969

Level statistics is an important quantity for exploring and understanding localized physics. The level-spacing distribution (LSD) of the disordered localized phase follows Poisson statistics, and many studies naturally apply it to the quasiperiodic localized phase. Here, we analytically obtain the LSD of the quasiperiodic localized phase, and find that it deviates from Poisson statistics. Moreover, based on this level statistics, we derive the ratio of adjacent gaps and find that for a single sample, it is a 8 function, which is in excellent agreement with numerical studies. Additionally, unlike disordered systems, in quasiperiodic systems, there are variations in the LSD across different regions of the spectrum, and the presence of spectral correlations results in nonequivalence between increasing the size and increasing the sample. Our findings carry significant implications for the reevaluation of level statistics in quasiperiodic systems and a profound understanding of the distinct effects of quasiperiodic potential-induced and disorder-induced localization.

SCI ; EI

英语

通讯

National Key R&D Program of China[2022YFA1405800] ; National Nat- ural Science Foundation of China[12104205] ; Key -Area Research and Development Program of Guangdong Province[2018B030326001] ; Guangdong Provincial Key Laboratory[2019B121203002]

Materials Science ; Physics

Materials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter

WOS:001259948800003

AMER PHYSICAL SOC

20242716565957

Poisson distribution ; Statistics

Mathematics:921 ; Probability Theory:922.1 ; Mathematical Statistics:922.2

PHYSICS

Web of Science

1.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
2.Int Quantum Acad, Shenzhen 518048, Peoples R China
3.Southern Univ Sci & Technol, Guangdong Prov Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China

Yang, Chao,Wang, Yucheng. Level-spacing distribution of localized phases induced by quasiperiodic potentials[J]. PHYSICAL REVIEW B,2024,109(21).

Yang, Chao,&Wang, Yucheng.(2024).Level-spacing distribution of localized phases induced by quasiperiodic potentials.PHYSICAL REVIEW B,109(21).

Yang, Chao,et al."Level-spacing distribution of localized phases induced by quasiperiodic potentials".PHYSICAL REVIEW B 109.21(2024).