Details

Autor(en) / Beteiligte

• Nakamura, Masaaki
• Wang, Zheng-Yuan
• Bergholtz, Emil J

Titel

Beyond the Tao-Thouless limit of the fractional quantum Hall effect: spin chains and Fermi surface deformation

Ist Teil von

• Journal of physics. Conference series, 2011-01, Vol.302 (1), p.12020-8

Erscheinungsjahr

2011

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• We discuss the relationship between the fractional quantum Hall effect in the vicinity of the thin-torus, a.k.a. Tao-Thouless (TT), limit and quantum spin chains. We argue that the energetics of fractional quantum Hall states in Jain sequence at filling fraction v = p/(2p + 1) (and v = 1 - p/(2p + 1)) in the lowest Landau level is captured by S = 1 spin chains with p spins in the unit cell. These spin chains naturally arise at sub-leading order in e super(-2)[pi]/L2d1 which serves as an expansion parameter away from the TT limit (L sub(1) arrow right 0). We also corroborate earlier results on the smooth Fermi surface deformation of the gapless state at v = 1/2, interpolating between a state described by a critical S = 1/2 chain and the bulk.