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Adiabatic Continuation of Fractional Chern Insulators to Fractional Quantum Hall States

Scaffidi, Thomas, Möller, Gunnar (2012) Adiabatic Continuation of Fractional Chern Insulators to Fractional Quantum Hall States. Physical Review Letters, 109 (24). p. 246805. ISSN 0031-9007. (doi:10.1103/PhysRevLett.109.246805)

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http://dx.doi.org/10.1103/PhysRevLett.109.246805

Abstract

We show how the phases of interacting particles in topological flat bands, known as fractional Chern insulators, can be adiabatically connected to incompressible fractional quantum Hall liquids in the lowest Landau-level of an externally applied magnetic field. Unlike previous evidence suggesting the similarity of these systems, our approach enables a formal proof of the equality of their topological orders, and furthermore this proof robustly extends to the thermodynamic limit. We achieve this result using the hybrid Wannier orbital basis proposed by Qi [Phys. Rev. Lett. 107, 126803 (2011)] in order to construct interpolation Hamiltonians that provide continuous deformations between the two models. We illustrate the validity of our approach for the groundstate of bosons in the half filled Chern band of the Haldane model, showing that it is adiabatically connected to the nu=1/2 Laughlin state of bosons in the continuum fractional quantum Hall problem.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevLett.109.246805
Uncontrolled keywords: Physics of Quantum Materials, fractional quantum Hall effect, fractional Chern insulators, adiabatic continuity, Wannier wave functions, Physics of Quantum Materials
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Divisions: Faculties > Sciences > School of Physical Sciences
Faculties > Sciences > School of Physical Sciences > Functional Materials Group
Depositing User: Gunnar Moller
Date Deposited: 18 Aug 2016 21:47 UTC
Last Modified: 17 Jul 2019 11:16 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/55583 (The current URI for this page, for reference purposes)
Möller, Gunnar: https://orcid.org/0000-0001-8986-0899
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