Charged spin-texture excitations and the Hartree-Fock approximation in the quantum Hall effect

Fertig, H. A.; Brey, L.; Côté, R.; MacDonald, Allan H.

doi:10.1103/physrevb.50.11018

Cited by 298 publications

(379 citation statements)

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“…S and A give the numbers of spin flips above and below ν = 1 and due to electron-hole symmetry S = A. Noninteracting electrons imply the effective skyrmion spin S = A = 1, while for a two-dimensional electron system formed in GaAs the theory predicts a skyrmion spin of 3.5. 28 This value was found in excellent agreement with the experimental data presented in Refs. 8 and 9.…”

Section: -3supporting

confidence: 82%

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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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Section: -3supporting

confidence: 82%

“…28 We examined the magneto-PL measured at the tilted angle θ = 70 • . Assuming in GaAsg = 0.01, 14 the angle tilting out to 70 • will result ing = 0.017, which is close to the theoretical limit.…”

Section: -3mentioning

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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“…For typical values of this width, in the limit of vanishing Zeeman energy we find that the low-energy excitations are "skyrmions" not only at ν = 1 but also at higher filling fractions. Our results lead to the prediction that, in typical samples, abrupt transitions to charged excitations with very large spins should be observable at filling fractions higher than ν = 1 if the Zeeman energy is reduced sufficiently.PACS Number: 73.40.HmTo appear in Physical Review BThere has recently been a great deal of theoretical and experimental activity studying spin-related phenomena in two-dimensional electron systems in the quantum Hall regime [1][2][3][4][5][6]. In such systems, the combination of strong Landau quantization and extremely small Zeeman energy leaves the primary role in determining the groundstate spin-correlations to the many-body interactions.…”

mentioning

confidence: 99%

“…There has recently been a great deal of theoretical and experimental activity studying spin-related phenomena in two-dimensional electron systems in the quantum Hall regime [1][2][3][4][5][6]. In such systems, the combination of strong Landau quantization and extremely small Zeeman energy leaves the primary role in determining the groundstate spin-correlations to the many-body interactions.…”

mentioning

confidence: 99%

“…In the opposite limit (Z = 0), the charged excitations minimize the exchange energy by adopting the "skyrmion" configurations [1] of the underlying continuum ferromagnet, and have diverging spatial sizes and total spins. At intermediate values of the Zeeman energy, a compromise is reached in which the charged excitations have finite sizes and spins, which are large compared to the sizes and spins of the polarized quasiparticles [2]; following Ref. [2] we will refer to these large-spin particles as "charged spin-textures".…”

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Skyrmions in quantum Hall systems with realistic force laws

Cooper

1997

Physica E: Low-dimensional Systems and Nanostructures

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We study the charged excitations of quantum Hall systems at integer filling fractions ν = 2n + 1, for a force-law that takes account of the finite width of the electron gas. For typical values of this width, in the limit of vanishing Zeeman energy we find that the low-energy excitations are "skyrmions" not only at ν = 1 but also at higher filling fractions. Our results lead to the prediction that, in typical samples, abrupt transitions to charged excitations with very large spins should be observable at filling fractions higher than ν = 1 if the Zeeman energy is reduced sufficiently.PACS Number: 73.40.HmTo appear in Physical Review BThere has recently been a great deal of theoretical and experimental activity studying spin-related phenomena in two-dimensional electron systems in the quantum Hall regime [1][2][3][4][5][6]. In such systems, the combination of strong Landau quantization and extremely small Zeeman energy leaves the primary role in determining the groundstate spin-correlations to the many-body interactions. Attention has been focused predominantly on the filling fraction ν = 1, at which interactions have particularly dramatic effects on the spin-order. Whilst the groundstate at this filling fraction is a simple ferromagnet [1,3] in which the electrons fill a single, spin-polarized Landau band, the low-energy charged excitations can have very unusual spin structures [1].At ν = 1, the picture that has emerged [1] is that, in the strong-field limit (when the cyclotron energy is large compared to all other energy scales), the form of the lowenergy charged excitations depends strongly on the ratio of the Zeeman energy Z = gµ B B to the exchange energy: this is proportional to e 2 /4πǫǫ 0 ℓ for Coulomb interactions (ℓ ≡ h/eB is the magnetic length in a magnetic field B). For large Zeeman energies, the charged excitations involve the minimum number of spin-reversals: they are the "polarized quasiparticles", with sizes of order the magnetic length and spins of 1/2. In the opposite limit (Z = 0), the charged excitations minimize the exchange energy by adopting the "skyrmion" configurations [1] of the underlying continuum ferromagnet, and have diverging spatial sizes and total spins. At intermediate values of the Zeeman energy, a compromise is reached in which the charged excitations have finite sizes and spins, which are large compared to the sizes and spins of the polarized quasiparticles [2]; following Ref.[2] we will refer to these large-spin particles as "charged spin-textures". The low-energy charged excitations are predicted to be charged spin-textures if the Zeeman energy is less than 0.054(e 2 /4πǫǫ 0 ℓ) [7,1], which is typically the case in GaAs devices [8]. Experimental studies of such systems show that the charged excitations at ν = 1 do carry large spin [4][5][6], in good agreement with current theory.At higher odd filling fractions [9,10], the low-energy properties in the strong-field limit depend only on the electrons in the uppermost Landau band. Consequently, such systems appear much like a sy...

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Electronic correlation in the quantum Hall regime

Kasner¹

2002

Ann. Phys.

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Two-dimensional interacting electron systems become strongly correlated if the electrons are subject to a perpendicular high magnetic field. After introducing the physics of the quantum Hall regime the incompressible many-particle ground state and its excitations are studied in detail at fractional filling factors for spin-polarized electrons. The spin degree of freedom whose importance was shown in recent experiments is considered by studying the thermodynamics at filling factor one and near one.

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Charged spin-texture excitations and the Hartree-Fock approximation in the quantum Hall effect

Cited by 298 publications

References 16 publications

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

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

Skyrmions in quantum Hall systems with realistic force laws

Electronic correlation in the quantum Hall regime

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