| Invariable mobility edge in a quasiperiodic lattice |
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| 作者姓名： | 刘通 成书杰 张锐 阮榕榕 姜厚勋 |
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| 作者单位： | 1.School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;2.Department of Physics, Zhejiang Normal University, Jinhua 321004, China |
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| 基金项目： | supported by the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20200737);NUPTSF(Grants Nos.NY220090 and NY220208);the National Natural Science Foundation of China(Grant No.12074064);the Innovation Research Project of Jiangsu Province,China(Grant No.JSSCBS20210521);NJUPT-STITP(Grant No.XYB2021294)。 |
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| 摘 要： | We analytically and numerically study a 1 D tight-binding model with tunable incommensurate potentials.We utilize the self-dual relation to obtain the critical energy,namely,the mobility edge.Interestingly,we analytically demonstrate that this critical energy is a constant independent of strength of potentials.Then we numerically verify the analytical results by analyzing the spatial distributions of wave functions,the inverse participation rate and the multifractal theory.All numerical results are in excellent agreement with the analytical results.Finally,we give a brief discussion on the possible experimental observation of the invariable mobility edge in the system of ultracold atoms in optical lattices.
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| 关 键 词： | Anderson localization QUASIPERIODIC mobility edge MULTIFRACTAL |
| 收稿时间： | 2021-05-22 |
Invariable mobility edge in a quasiperiodic lattice |
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| Tong Liu,Shujie Cheng,Rui Zhang,Rongrong Ruan,Houxun Jiang.Invariable mobility edge in a quasiperiodic lattice[J].Chinese Physics B,2022,31(2):27101-027101. |
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| Authors: | Tong Liu Shujie Cheng Rui Zhang Rongrong Ruan Houxun Jiang |
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| Affiliation: | 1.School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;2.Department of Physics, Zhejiang Normal University, Jinhua 321004, China |
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| Abstract: | We analytically and numerically study a 1D tight-binding model with tunable incommensurate potentials. We utilize the self-dual relation to obtain the critical energy, namely, the mobility edge. Interestingly, we analytically demonstrate that this critical energy is a constant independent of strength of potentials. Then we numerically verify the analytical results by analyzing the spatial distributions of wave functions, the inverse participation rate and the multifractal theory. All numerical results are in excellent agreement with the analytical results. Finally, we give a brief discussion on the possible experimental observation of the invariable mobility edge in the system of ultracold atoms in optical lattices. |
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| Keywords: | Anderson localization quasiperiodic mobility edge multifractal |
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