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Fractional Quantum Hall States at Zero Magnetic Field

Titus Neupert, Luiz Santos, Claudio Chamon, and Christopher Mudry
Phys. Rev. Lett. 106, 236804 – Published 6 June 2011
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Abstract

We present a simple prescription to flatten isolated Bloch bands with a nonzero Chern number. We first show that approximate flattening of bands with a nonzero Chern number is possible by tuning ratios of nearest-neighbor and next-nearest-neighbor hoppings in the Haldane model and, similarly, in the chiral-π-flux square lattice model. Then we show that perfect flattening can be attained with further range hoppings that decrease exponentially with distance. Finally, we add interactions to the model and present exact diagonalization results for a small system at 1/3 filling that support (i) the existence of a spectral gap, (ii) that the ground state is a topological state, and (iii) that the Hall conductance is quantized.

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  • Received 22 December 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.236804

© 2011 American Physical Society

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Fractional quantum Hall effect without Landau levels

Published 6 June 2011

Researchers develop models that could exhibit a fractional quantum Hall effect in the absence of an external magnetic field.

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Authors & Affiliations

Titus Neupert1, Luiz Santos2, Claudio Chamon3, and Christopher Mudry1

  • 1Condensed Matter Theory Group, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
  • 2Department of Physics, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA
  • 3Physics Department, Boston University, Boston, Massachusetts 02215, USA

See Also

High-Temperature Fractional Quantum Hall States

Evelyn Tang, Jia-Wei Mei, and Xiao-Gang Wen
Phys. Rev. Lett. 106, 236802 (2011)

Nearly Flatbands with Nontrivial Topology

Kai Sun, Zhengcheng Gu, Hosho Katsura, and S. Das Sarma
Phys. Rev. Lett. 106, 236803 (2011)

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Vol. 106, Iss. 23 — 10 June 2011

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