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Topological Edge States and Fractional Quantum Hall Effect from Umklapp Scattering

Klinovaja, Jelena and Loss, Daniel. (2013) Topological Edge States and Fractional Quantum Hall Effect from Umklapp Scattering. Physical Review Letters, 111 (19). p. 196401.

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Official URL: http://edoc.unibas.ch/dok/A6338774

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Abstract

We study anisotropic lattice strips in the presence of a magnetic field in the quantum Hall effect regime. At specific magnetic fields, causing resonant umklapp scattering, the system is gapped in the bulk and supports chiral edge states in close analogy to topological insulators. In electron gases with stripes, these gaps result in plateaus for the Hall conductivity exactly at the known fillings n/m (both positive integers and m odd) for the integer and fractional quantum Hall effect. For double strips, we find topological phase transitions with phases that support midgap edge states with flat dispersion. The topological effects predicted here could be tested directly in optical lattices.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Theoretical Nano/Quantum Physics (Klinovaja)
05 Faculty of Science > Departement Physik > Physik > Theoretische Physik Mesoscopics (Loss)
UniBasel Contributors:Klinovaja, Jelena and Loss, Daniel
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Physical Society
e-ISBN:We study anisotropic lattice strips in the presence of a magnetic field in the quantum Hall effect regime. At specific magnetic fields, causing resonant umklapp scattering, the system is gapped in the bulk and supports chiral edge states in close analogy
ISSN:0031-9007
e-ISSN:1079-7114
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:05 Apr 2022 14:22
Deposited On:10 Apr 2015 09:13

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