Hanbury Brown and Twiss correlations in quantum Hall systems

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2013
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Campagnano, Gabriele
Gornyi, Igor V.
Gefen, Yuval
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Physical Review B. American Physical Society (APS). 2013, 88(23), 235415. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.88.235415
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We study a Hanbury Brown and Twiss (HBT) interferometer formed with chiral edge channels of a quantum Hall system. HBT cross-correlations are calculated for a device operating both in the integer and fractional quantum Hall regimes, the latter at Laughlin filling fractions. We find that in both cases, when the current is dominated by electron tunneling, current-current correlations show antibunching, characteristic of fermionic correlations. When the current-current correlations are dominated by quasiparticle tunneling, the correlations reveal bunching, characteristic of bosons. For electron tunneling we use Keldysh technique, and show that the result for fractional filling factors can be obtained in a simple way from the results of the integer case. It is shown that quasiparticle-dominated cross-current correlations can be analyzed by means of a quantum master equation approach. We present here a detailed derivation of the results of Ref. [Phys. Rev. Lett. 109, 106802 (2012)] and generalize them to all Laughlin fractions.

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ISO 690CAMPAGNANO, Gabriele, Oded ZILBERBERG, Igor V. GORNYI, Yuval GEFEN, 2013. Hanbury Brown and Twiss correlations in quantum Hall systems. In: Physical Review B. American Physical Society (APS). 2013, 88(23), 235415. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.88.235415
BibTex
@article{Campagnano2013Hanbu-54926,
  year={2013},
  doi={10.1103/PhysRevB.88.235415},
  title={Hanbury Brown and Twiss correlations in quantum Hall systems},
  number={23},
  volume={88},
  issn={2469-9950},
  journal={Physical Review B},
  author={Campagnano, Gabriele and Zilberberg, Oded and Gornyi, Igor V. and Gefen, Yuval},
  note={Article Number: 235415}
}
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