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One-Dimensional Theory of the Quantum Hall System | | Emil J. Bergholtz
; Anders Karlhede
; | | Rating: | Visitors: 5/5 (1 visitor) | | Date: |
16 Sep 2005 | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Strongly Correlated Electrons | cond-mat.mes-hall cond-mat.str-el | | Abstract: | We consider the lowest Landau level on a torus as a function of its circumference L_1. When L_1 -> 0, the ground state at general rational filling fraction is a crystal with a gap. For filling fractions
u=p/(2pm+1), these states are the limits of Laughlin’s or Jain’s wave functions describing the gapped quantum Hall states when L_1 -> infty. For the half-filled Landau level, there is a transition to a Fermi sea of non-interacting neutral dipoles, or rather to a Luttinger liquid modification thereof, at L_1 sim 5 magnetic lengths. This state is a version of the Rezayi-Read state, and develops continuously into the state that is believed to describe the observed metallic phase as L_1 -> infty. Furthermore, the effective Landau level structure that emerges within the lowest Landau level follows from the magnetic symmetries. | | Source: | arXiv, cond-mat/0509434 | | Services: | Forum | Review | PDF | Favorites | |
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