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Fractional quantum Hall effect in the absence of Landau levels

Journal Article · · Nature Communications
DOI:https://doi.org/10.1038/ncomms1380· OSTI ID:1623867
 [1];  [2];  [3];  [4]
  1. California State Univ., Northridge, CA (United States). Dept. of Physics and Astronomy; DOE/OSTI
  2. Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
  3. Univ. of Maryland, College Park, MD (United States). Dept. of Physics. Condensed Matter Theory Center and Joint Quantum Inst.
  4. Nanjing Univ. (China). National Lab. of Solid State Microstructyures. Dept. of Physics

It is well known that the topological phenomena with fractional excitations, the fractional quantum Hall effect, will emerge when electrons move in Landau levels. Here we show the theoretical discovery of the fractional quantum Hall effect in the absence of Landau levels in an interacting fermion model. The non-interacting part of our Hamiltonian is the recently proposed topologically non-trivial flat-band model on a checkerboard lattice. In the presence of nearest neighbouring repulsion, we find that at 1/3 filling, the Fermi-liquid state is unstable towards the fractional quantum Hall effect. At 1/5 filling, however, a next-nearest-neighbouring repulsion is needed for the occurrence of the 1/5 fractional quantum Hall effect when nearest-neighbouring repulsion is not too strong. We demonstrate the characteristic features of these novel states and determine the corresponding phase diagram.

Research Organization:
California State Univ. (CalState), Long Beach, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-06ER46305
OSTI ID:
1623867
Journal Information:
Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 2; ISSN 2041-1723
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

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