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

@article{Nayak1995SpinsingletTS, 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}, year={1995}, volume={455}, pages={493-504} }

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…

## 6 Citations

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## References

SHOWING 1-10 OF 30 REFERENCES

Mixed-spin incompressible states in the fractional quantum Hall effect.

- Physics, MedicinePhysical 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

- Physics
- 1989

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…

Theory of the half-filled Landau level.

- Physics
- 1993

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…

Fractional statistics and anyon superconductivity

- Physics
- 1990

The occurrence of fractional statistics has been discovered in more and more quantum field theory models, including some of the most geometrical and canonical ones. In a remarkable case, the…

Renormalization group approach to low temperature properties of a non-Fermi liquid metal

- Physics
- 1994

We expand upon an earlier renormalization group analysis of a non-Fermi liquid fixed point that plausibly governs the two-dimensional electron liquid in a magnetic field near filling fraction ν =12.…

Compressible phase of a double-layer electron system with total Landau-level filling factor 1/2.

- Physics, MedicinePhysical 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.

- Physics, MedicinePhysical 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.

HEURISTIC PRINCIPLE FOR QUANTIZED HALL STATES

- Physics
- 1990

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…

Experimental determination of fractional charge e/q for quasiparticle excitations in the fractional quantum Hall effect.

- Physics, MedicinePhysical review letters
- 1988

La prediction de Laughlin-Haldane selon laquelle la charge e* des quasi-particules excitees a travers la bande interdite des etats fondamentaux dus a l'effet Hall quantique fractionnaire a ν=p/q est…

Spin configurations and quasiparticle fractional charge of fractional-quantum-Hall-effect ground states in the N=0 Landau level.

- Physics, MedicinePhysical review letters
- 1989

Spin configurations of fractions zl\ensuremath{\nu}l2 are examined by angular and n-dependent activation studies to quantify a dramatic difference between (4/3 and (5/3) states consistent with assignments.