### Abstract

In a two-dimensional electron gas under a strong magnetic field, correlations generate emergent excitations distinct from electrons. It has been predicted that "composite fermions" - bound states of an electron with two magnetic flux quanta - can experience zero net magnetic field and form a Fermi sea. Using infinite-cylinder density matrix renormalization group numerical simulations, we verify the existence of this exotic Fermi sea, but find that the phase exhibits particle-hole symmetry. This is self-consistent only if composite fermions are massless Dirac particles, similar to the surface of a topological insulator. Exploiting this analogy, we observe the suppression of 2k_{F} backscattering, a characteristic of Dirac particles. Thus, the phenomenology of Dirac fermions is also relevant to two-dimensional electron gases in the quantum Hall regime.

Original language | English (US) |
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Pages (from-to) | 197-201 |

Number of pages | 5 |

Journal | Science |

Volume | 352 |

Issue number | 6282 |

DOIs | |

State | Published - Apr 8 2016 |

### All Science Journal Classification (ASJC) codes

- General

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## Cite this

*Science*,

*352*(6282), 197-201. https://doi.org/10.1126/science.aad4302