Bera, Soumya and Dieplinger, Johannes and Nayak, Naba Prakash (2024) Quantum Hall criticality in an amorphous Chern insulator. PHYSICAL REVIEW B, 109 (17): 174213. ISSN 2469-9950, 2469-9969
Full text not available from this repository.Abstract
We explore the critical properties of a topological transition in a two-dimensional, amorphous lattice with randomly distributed points. The model intrinsically breaks the time-reversal symmetry without an external magnetic field, akin to a Chern insulator. Here, the topological transition is induced by varying the density of lattice points or adjusting the mass parameter. Using the two-terminal conductance and multifractality of the wave function, we found that the topological transition belongs to the same universality class as the integer quantum Hall transition. Regardless of the approach to the critical point across the phase boundary, the localization length exponent remains within v ti 2.55-2.61. The irrelevant scaling exponent for both the observables is y ti 0.3(1), comparable to the values obtained using transfer matrix analysis in the Chalker-Coddigton network. Additionally, the investigation of the entire distribution function of the inverse participation ratio at the critical point shows possible deviations from the parabolic multifractal spectrum at the anomalous quantum Hall transition.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CONDUCTANCE; TRANSITION; FLUCTUATIONS; REALIZATION; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Sep 2025 07:27 |
| Last Modified: | 08 Sep 2025 07:27 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64399 |
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