Optics with Quantum Hall Skyrmions

Portengen, T.; Chapman, J. R.; Nicopoulos, V. Nikos; Johnson, Neil F.

doi:10.1142/s0217979298000028

Cited by 6 publications

(6 citation statements)

References 40 publications

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“…(8)] to a quantum Hall skyrmion bound to the valence band hole (skyrmion-hole state). This scenario is also corroborated by the numerical calculations of Portengen et al 13 , who showed that the skyrmion-hole state is more stable than the excitonic state when d > l. The presence of skyrmions in the system prior to the recombination is also discussed in 14 and the references therein.…”

Section: The Skyrmion-hole Initial Statesupporting

confidence: 53%

Photoluminescence spectrum of an interacting two-dimensional electron gas atν=1

Doretto¹,

Caldeira²

2005

Phys. Rev. B

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We report on the theoretical photoluminescence spectrum of an interacting two-dimensional electron gas at filling factor one (ν = 1). We considered a model similar to the one adopted to study the X-ray spectra of metals and solved it analytically using the bosonization method previously developed for the two-dimensional electron gas at ν = 1. We calculated the emission spectra of the right and the left circularly polarized radiations for the situations where the distance between the two-dimensional electron gas and the valence band hole is smaller and greater than the magnetic length. For the former, we showed that the polarized photoluminescence spectra can be understood as the recombination of the so-called excitonic state with the valence band hole whereas, for the latter, the observed emission spectra can be related to the recombination of a state formed by a spin down electron bound to n spin waves. This state seems to be a good description for the quantum Hall skyrmion.

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Section: The Skyrmion-hole Initial Statesupporting

confidence: 53%

Photoluminescence spectrum of an interacting two-dimensional electron gas atν=1

Doretto¹,

Caldeira²

2005

Phys. Rev. B

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“…The red shifts observed in both polarizations in vicinities of the filling factors ν SL = 1 and ν D = 1 are due to changes in the binding energy of the interband exciton (E X ) and in the binding energy of the spin wave (E SW ), which are defined according to Ref. 26 as: E = E SW − E X . Similar red shifts of the polarized PL peak energies were also observed in single GaAs/AlGaAs quantum wells in Ref.…”

Section: -2mentioning

confidence: 99%

Magneto-optical probe of quantum Hall states in a wide parabolic well modulated by random potential

et al. 2012

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Polarized photoluminescence from weakly coupled random multiple well quasi-three-dimensional electron system is studied in the regime of the integer quantum Hall effect. Two quantum Hall ferromagnetic ground states assigned to the uncorrelated miniband quantum Hall state and to the spontaneous interwell phase coherent dimer quantum Hall state are observed. Photoluminescence associated with these states exhibits features caused by finite-size skyrmions: dramatic reduction of the electron spin polarization when the magnetic field is increased past the filling factor ν = 1. The effective skyrmion size is larger than in two-dimensional electron systems.

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“…This can be verified by the measurement of spin susceptibility or circular polarized photoluminescence spectra. 24 The dependence of the trial ground states ͑skyrmion or edge spin texture͒ on Zeeman energy is shown in Fig. 3 for different confining potential with fixed number of electrons, i.e., Nϭ35.…”

mentioning

confidence: 99%

Skyrmions as the ground states of quantum dots in strong magnetic fields

Chiueh

Chuu

1999

Phys. Rev. B

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We note that the properties of skyrmions capture many features of the ground states of quantum dots in strong magnetic fields. Therefore, in the present work we choose skyrmions with high winding numbers as trial ground states. In our results, we find that the occurrence of skyrmions fits an instability criterion of maximum density droplet very well. Interesting spin structures are found and such structures are recently supported by electron spin resonance experiments. The addition spectrum is calculated and the transition found in recent experiments is attributable to anti-skyrmion to skyrmion transition. The implication of pair tunneling from our trial wave function is discussed. ͓S0163-1829͑99͒10947-0͔ PHYSICAL REVIEW B 15 DECEMBER 1999-I VOLUME 60, NUMBER 23 PRB 60

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Optics with Quantum Hall Skyrmions

Cited by 6 publications

References 40 publications

Photoluminescence spectrum of an interacting two-dimensional electron gas atν=1

Photoluminescence spectrum of an interacting two-dimensional electron gas atν=1

Magneto-optical probe of quantum Hall states in a wide parabolic well modulated by random potential

Skyrmions as the ground states of quantum dots in strong magnetic fields

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