Virginia TechSreejith, G. J.Jolad, S.Sen, D.Jain, J. K.2014-02-112014-02-112011-12-09Sreejith, G. J. ; Jolad, Shivakumar ; Sen, Diptiman ; et al., Dec 9, 2011. "Microscopic study of the 2/5 fractional quantum Hall edge," PHYSICAL REVIEW B 84(24): 245104. DOI: 10.1103/PhysRevB.84.2451041098-0121http://hdl.handle.net/10919/25393This 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.en-USIn Copyrightchiral luttinger liquidscomposite fermionsstatessystemsexcitationsuniversalcontinuumexponentbehaviorrangePhysicsArticle - Refereedhttp://link.aps.org/doi/10.1103/PhysRevB.84.245104https://doi.org/10.1103/PhysRevB.84.245104