Fractional quantum Hall hierarchy and the second Landau level
نویسندگان
چکیده
Parsa Bonderson1,2 and J. K. Slingerland2,3,4,5 1Microsoft Research, Station Q, Elings Hall, University of California, Santa Barbara, California 93106, USA 2California Institute of Technology, Pasadena, California 91125, USA 3Dublin Institute for Advanced Studies, School for Theoretical Physics, 10 Burlington Road, Dublin 4, Ireland 4Department of Mathematical Physics, National University of Ireland, Maynooth, Ireland 5Department of Physics, University of California, Riverside, California 92521, USA Received 24 July 2008; revised manuscript received 19 August 2008; published 26 September 2008
منابع مشابه
Unconventional fractional quantum Hall effect in monolayer and bilayer graphene
The commensurability condition is applied to determine the hierarchy of fractional fillings of Landau levels in monolayer and in bilayer graphene. The filling rates for fractional quantum Hall effect (FQHE) in graphene are found in the first three Landau levels in one-to-one agreement with the experimental data. The presence of even denominator filling fractions in the hierarchy for FQHE in bil...
متن کاملThe Constraint for the Lowest Landau Level and the Effective Field Theory Approach for the Fractional Quantum Hall System
By applying the Dirac quantization method, we build the constraint that all electrons are in the lowest Landau level into the Chern-Simons field theory approach for the fractional quantum Hall system and show that the constraint can be transmuted from hierarchy to hierarchy. For a finite system, we derive that the action for each hierarchy can be split into two parts: a surface part provides th...
متن کاملHierarchical nature of the quantum Hall effects.
I demonstrate that the wave function for a ν=n+ν[over ˜] quantum Hall state with Landau levels 0,1,…,n-1 filled and a filling fraction ν[over ˜] quantum Hall state with 0<ν[over ˜]≤1 in the nth Landau level can be obtained hierarchically from the ν=n state by introducing quasielectrons which are then projected into the (conjugate of the) ν[over ˜] state. In particular, the ν[over ˜]=1 case prod...
متن کاملPhase transitions between fractional quantum Hall states: a Bose condensation approach
The work we describe in this thesis is inspired by the recent developments towards an intrinsically fault-tolerant form of quantum computation to be implemented in physical systems that exhibit topologically ordered phases. We investigate transitions between different topological phases by condensation of bosonic quasiparticles. This provides us with a full description of the excitations in the...
متن کاملConstraint equation for the lowest Landau level in the fractional quantum Hall system.
We apply the singular gauge transformation to the constraint equation for the lowest Landau level to investigate the generic properties of the quasiparticles of the fractional quantum Hall system by using the collective-field-theory approach. It shows a transparent connection with Laughlin s wave functions. If we take an average over the wave functional for the constraint equation, the resultin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008