Topological Edge States and Fractional Quantum Hall Effect from Umklapp Scattering

Jelena Klinovaja and Daniel Loss
Phys. Rev. Lett. 111, 196401 – Published 4 November 2013
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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.

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  • Received 25 February 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.196401

© 2013 American Physical Society

Authors & Affiliations

Jelena Klinovaja and Daniel Loss

  • Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland

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Issue

Vol. 111, Iss. 19 — 8 November 2013

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Heating up of Superconductors
January 27, 2017

This collection marks the 30th anniversary of the discovery of high-temperature superconductors. The papers selected highlight some of the advances that have been made to date, both in understanding why these compounds behave in the way they do, and in utilizing them in applications. The papers included in the collection have been made free to read.

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