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Fractional quantum Hall effect in the absence of Landau levels

Author

Listed:
  • D.N. Sheng

    (California State University)

  • Zheng-Cheng Gu

    (Kavli Institute for Theoretical Physics, University of California)

  • Kai Sun

    (Condensed Matter Theory Center and Joint Quantum Institute, University of Maryland)

  • L. Sheng

    (Nanjing University)

Abstract

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.

Suggested Citation

  • D.N. Sheng & Zheng-Cheng Gu & Kai Sun & L. Sheng, 2011. "Fractional quantum Hall effect in the absence of Landau levels," Nature Communications, Nature, vol. 2(1), pages 1-5, September.
    • Handle: RePEc:nat:natcom:v:2:y:2011:i:1:d:10.1038_ncomms1380
    DOI: 10.1038/ncomms1380
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    Cited by:

    1. Lei Chen & Fang Xie & Shouvik Sur & Haoyu Hu & Silke Paschen & Jennifer Cano & Qimiao Si, 2024. "Emergent flat band and topological Kondo semimetal driven by orbital-selective correlations," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    2. Martin Claassen & Lede Xian & Dante M. Kennes & Angel Rubio, 2022. "Ultra-strong spin–orbit coupling and topological moiré engineering in twisted ZrS2 bilayers," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    3. Weixuan Zhang & Hao Yuan & Na Sun & Houjun Sun & Xiangdong Zhang, 2022. "Observation of novel topological states in hyperbolic lattices," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    4. Xiao-Wei Zhang & Chong Wang & Xiaoyu Liu & Yueyao Fan & Ting Cao & Di Xiao, 2024. "Polarization-driven band topology evolution in twisted MoTe2 and WSe2," Nature Communications, Nature, vol. 15(1), pages 1-8, December.

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