Spin-singlet to spin-polarized phase transition at ν = {2}/{3}: flux-trading in action

  title={Spin-singlet to spin-polarized phase transition at $\nu$ = \{2\}/\{3\}: flux-trading in action},
  author={C. Nayak and Frank Wilczek},
  journal={Nuclear Physics},
Abstract We analyze the phase transition between spin-singlet and spin-polarized states which occurs at ν = 2 3 . The basic strategy is to use adiabatic flux-trading arguments to relate this transition to the analogous transition at ν = 2. The transition is found to be similar to a transition in ferromagnets. In our analysis, we find two possible scenarios. In one, the transition is first-order, in agreement with experimental and numerical studies of the ν = 2 3 transition. In the other, we… 
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  • Wu, Dev, Jain
  • Physics, Medicine
    Physical review letters
  • 1993
This work provides a theory of the general structure of mixed-spin fractional quantum Hall states, which are relevant at low magnetic fields. This, in particular, leads to a microscopic description
LETTER TO THE EDITOR: Spin-dependent fractional QHE states in the N=0 Landau level
Spin assignments of fractional QHE states in the N=0 Landau level are determined from finite-size calculations of the Coulomb energy. There is a spin-unpolarised ground state at 2/3 filling, with
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A two-dimensional electron system in an external magnetic field, with Landau-level filling factor \ensuremath{\nu}=1/2, can be transformed to a mathematically equivalent system of fermions
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  • Bonesteel
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    Physical review. B, Condensed matter
  • 1993
Within the random-phase approximation a new, low-lying, diffusive mode, not present in the \ensuremath{\nu}=1/2 single-layer system, is found, which leads to more singular low-energy scattering and an attractive pairing interaction between fermions in different layers which grows stronger as the layer spacing is decreased.
Composite-fermion approach for the fractional quantum Hall effect.
  • Jain
  • Physics, Medicine
    Physical review letters
  • 1989
It is proposed that the fractional quantum Hall effect of electrons can be physically understood as a manifestation of the integer quantumHall effect of composite fermionic objects consisting of electrons bound to an even number of flux quanta.
It is argued that the incompressibility of fractional quantized Hall states, and the qualitative form of their wavefunction, can be understood by an argument based on adiabatic localization of
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