Sreejith, GJ and Jolad, Shivakumar and Sen, Diptiman and Jain, Jainendra K
(2011)
*Microscopic study of the 2/5 fractional quantum Hall edge.*
In: Physical Review B: Condensed Matter and Materials Physics, 84
(24).

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## Abstract

This paper reports on our study of the edge of the 2/5 fractional quantum Hall state, which is more complicated than the edge of the 1/3 state because of the presence of edge sectors corresponding to different partitions of composite fermions in the lowest two Lambda levels. The addition of an electron at the edge is a nonperturbative process and it is not a priori obvious in what manner the added electron distributes itself over these sectors. We show, from a microscopic calculation, that when an electron is added at the edge of the ground state in the [N(1), N(2)] sector, where N(1) and N(2) are the numbers of composite fermions in the lowest two Lambda levels, the resulting state lies in either [N(1) + 1, N(2)] or [N(1), N(2) + 1] sectors; adding an electron at the edge is thus equivalent to adding a composite fermion at the edge. The coupling to other sectors of the form [N(1) + 1 + k, N(2) - k], k integer, is negligible in the asymptotically low-energy limit. This study also allows a detailed comparison with the two-boson model of the 2/5 edge. We compute the spectral weights and find that while the individual spectral weights are complicated and nonuniversal, their sum is consistent with an effective two-boson description of the 2/5 edge.

Item Type: | Journal Article |
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Related URLs: | |

Additional Information: | Copyright of this article belongs to The American Physical Society. |

Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |

Date Deposited: | 11 Jan 2012 09:03 |

Last Modified: | 11 Jan 2012 09:03 |

URI: | http://eprints.iisc.ernet.in/id/eprint/43108 |

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