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Adiabatic continuation of fractional Chern insulators to fractional quantum Hall States.

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 th...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics
Role:
Author
Journal:
Physical review letters
Volume:
109
Issue:
24
Pages:
246805
Publication date:
2012-12-05
DOI:
EISSN:
1079-7114
ISSN:
0031-9007
URN:
uuid:8e8f489e-6c47-4471-aec1-a173ecfb687f
Source identifiers:
375277
Local pid:
pubs:375277

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