Angelone G, Asorey M, Facchi P, Lonigro D, Martinez Y (2023)
Publication Type: Journal article
Publication year: 2023
Book Volume: 56
Article Number: 025301
Journal Issue: 2
We formulate a self-consistent model of the integer quantum Hall effect on an infinite strip, using boundary conditions to investigate the influence of finite-size effects on the Hall conductivity. By exploiting the translation symmetry along the strip, we determine both the general spectral properties of the system for a large class of boundary conditions respecting such symmetry, and the full spectrum for (fibered) Robin boundary conditions. In particular, we find that the latter introduce a new kind of states with no classical analogues, and add a finer structure to the quantization pattern of the Hall conductivity. Moreover, our model also predicts the breakdown of the quantum Hall effect at high values of the applied electric field.
APA:
Angelone, G., Asorey, M., Facchi, P., Lonigro, D., & Martinez, Y. (2023). Boundary conditions for the quantum Hall effect. Journal of Physics A: Mathematical and Theoretical, 56(2). https://doi.org/10.1088/1751-8121/acb026
MLA:
Angelone, Giuliano, et al. "Boundary conditions for the quantum Hall effect." Journal of Physics A: Mathematical and Theoretical 56.2 (2023).
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