| Title | Localization-length exponent in two models of quantum Hall plateau transitions |
| Authors | Zhu, Qiong Wu, Peng Bhatt, R. N. Wan, Xin |
| Affiliation | Peking Univ, Int Ctr Quantum Mat, Beijing 100871, Peoples R China Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Zhejiang, Peoples R China Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA Nanjing Univ, Collaborat Innovat Ctr Adv Microstruct, Nanjing 210093, Jiangsu, Peoples R China |
| Issue Date | 2019 |
| Publisher | PHYSICAL REVIEW B |
| Abstract | Motivated by the recent numerical studies on the Chalker-Coddington network model that found a larger-thanexpected critical exponent of the localization length characterizing the integer quantum Hall plateau transitions, we revisited the exponent calculation in the continuum model and in the lattice model, both projected to the lowest Landau level or subband. Combining scaling results with or without the corrections of an irrelevant length scale, we obtain nu = 2.48 +/- 0.02, which is larger but still consistent with the earlier results in the two models, unlike what was found recently in the network model. The scaling of the total number of conducting states, as determined by the Chern number calculation, is accompanied by an effective irrelevant length scale exponent y = 4.3 in the lattice model, indicating that the irrelevant perturbations are insignificant in the topology number calculation. |
| URI | http://hdl.handle.net/20.500.11897/551299 |
| ISSN | 2469-9950 |
| DOI | 10.1103/PhysRevB.99.024205 |
| Indexed | SCI(E) EI |
| Appears in Collections: | 量子材料科学中心 |
