Fractional Quantum Hall Effect Measurements at Zero g Factor

Leadley, D. R.; Nicholas, R. J.; Maude, D. K.; Utjuzh, A. N.; Portal, J. C.; Harris, J. J.; Foxon, C.T.

doi:10.1103/physrevlett.79.4246

Cited by 90 publications

(82 citation statements)

References 24 publications

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“…Thus it belongs to the reversed sequence of the (3, 3, 2) FQH state. Transitions between the singlet state at ν = 2/3 and the fully polarized state at the same filling factor have also been observed [11]. The excitation spectrum of the ν = 2/3 spin singlet state can be constructed analogously.…”

Section: Electron Statesmentioning

confidence: 94%

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Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems

López

Fradkin

2001

Phys. Rev. B

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We present an effective theory for the bulk Fractional Quantum Hall states in spin-polarized bilayer and spin-1/2 single layer two-dimensional electron gases (2DEG) in high magnetic fields consistent with the requirement of global gauge invariance on systems with periodic boundary conditions. We derive the theory for the edge states that follows naturally from this bulk theory. We find that the minimal effective theory contains two propagating edge modes that carry charge and energy, and two non-propagating topological modes responsible for the statistics of the excitations. We give a detailed description of the effective theory for the spin-singlet states, the symmetric bilayer states and for the (m, m, m) states. We calculate explicitly, for a number of cases of interest, the operators that create the elementary excitations, their bound states, and the electron. We also discuss the scaling behavior of the tunneling conductances in different situations: internal tunneling, tunneling between identical edges and tunneling into a FQH state from a Fermi liquid.

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Section: Electron Statesmentioning

confidence: 94%

“…In particular we computed the tunneling exponents for the spin singlet states that have been observed experimentally [11], whose filling fractions are ν = 2/3, 2/5, 4/7, 4/9. For instance , for electron tunneling between two 2/3 states we found that the tunneling current obeys Ohms law.…”

Section: Discussionmentioning

confidence: 99%

Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems

López

Fradkin

2001

Phys. Rev. B

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“…Unlike in the integral quantum Hall regime, skyrmions at ν = 1 3 (proposed by Kamilla et al 47 ) were only recently detected in a transport experiment, 48,49 thanks to a sufficient reduction of the Zeeman gap E Z by means of hydrostatic pressure. The subsequent numerical calculation 50 also indicated the formation of small skyrmions and anti-skyrmions in finite-size fractional quantum Hall systems.…”

Section: Introductionmentioning

confidence: 99%

Spin excitation spectra of integral and fractional quantum Hall systems

Wójs

Quinn

2002

Phys. Rev. B

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Results are presented of detailed numerical calculations for the spin excitation spectra of a twodimensional electron gas confined in a quantum well of finite width w, at magnetic fields corresponding to the fractional and integral fillings of the lowest and of excited Landau levels. Spin waves and skyrmions are identified, and their mutual interactions are studied at filling factors ν = 1 3 , 1, 3, and 5. The smallest skyrmions at ν = 1 3 are equivalent to composite fermion charged excitons X ± CF . Bose condensates of nearly noninteracting spin waves and Laughlin correlations between finite-size skyrmions are found at ν = 1 and 1 3 and, for w larger than about two magnetic lengths, also at ν = 3 and 5. A general criterion for the occurrence of skyrmions at odd integral fillings and at Laughlin fractional fillings of the lowest Landau level is given in terms of the interaction pseudopotentials. This explains the dependence of skyrmion states on w observed in excited Landau levels.

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“…Yet another type of quantum Hall ferromagnetism occurs in monolayer systems if single particle states in different Landau level with different spins are tuned to energetic coincidence as it can be done by tilting the magnetic field 38,31 . An important connection between electron spin quantum Hall ferromagnetism in monolayers and spin-orbit effects arises from studies of the dependence of the effective g-factor on the lattice constant of the semiconductor material which can be varied by applying external pressure [39][40][41][42] .…”

Section: Introductionmentioning

confidence: 99%

Variational study of theν=1quantum Hall ferromagnet in the presence of spin-orbit interaction

2003

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We investigate the ν = 1 quantum Hall ferromagnet in the presence of spin-orbit coupling of the Rashba or Dresselhaus type by means of Hartree-Fock-typed variational states. In the presence of Rashba (Dresselhaus) spin-orbit coupling the fully spin-polarized quantum Hall state is always unstable resulting in a reduction of the spin polarization if the product of the particle charge q and the effective g-factor is positive (negative). In all other cases an alternative variational state with O(2) symmetry and finite in-plane spin components is lower in energy than the fully spin-polarized state for large enough spin-orbit interaction. The phase diagram resulting from these considerations differs qualitatively from earlier studies.

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Fractional Quantum Hall Effect Measurements at Zero g Factor

Cited by 90 publications

References 24 publications

Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems

Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems

Spin excitation spectra of integral and fractional quantum Hall systems

Variational study of theν=1quantum Hall ferromagnet in the presence of spin-orbit interaction

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