Hysteresis and Spin Transitions in the Fractional Quantum Hall Effect

Cho, Hyun-Ick; Young, J. B.; Kang, W.; Campman, K. L.; Gossard, A. C.; Bichler, Max; Wegscheider, Werner

doi:10.1103/physrevlett.81.2522

Cited by 70 publications

(69 citation statements)

References 16 publications

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“…Instead, for the spin singlet state at ν = 2/3 we get α e = 3, and the current tunneling obeys the law I ∼ V 3 . For the states in the second level of the hierarchy which have already been observed experimentally [12], i. e., for 4/7 and 4/9 the exponents are α e = 3 and 4 respectively.…”

Section: Electron Tunneling Between Identical Su (2) Statesmentioning

confidence: 98%

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 Tunneling Between Identical Su (2) Statesmentioning

confidence: 98%

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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“…Two recent experiments have observed hysteretic behavior and/or peak formation in electronic transport of 2DEG in the regime of the FQHE [4,5]. Minor discrepancies in data taken on opposite field sweeps are common and are usually attributed to the large inductance of the magnet and the resulting time delays or to slight temperature differences between both sweeps.…”

mentioning

confidence: 99%

“…The time scale for development of this feature can be as long as hours, which suggested the involvement of nuclear spins in its creation. Cho et al [5] have observed hysteretic behavior in resistance traces taken on several fractions around filling factor ν = 1/2 and attribute it to non-equilibrium phases of composite fermions in this regime. The origin of these observations remains puzzling and the nature of the underlying nonequilibria remains unclear.…”

mentioning

confidence: 99%

“…Electrons in the localized states provide a reservoir, which is in equilibrium with the current-carrying, delocalized states and keep their occupation constant over wide stretches of B. While in the integral quantum Hall effect (IQHE) [1] the ingredients of this picture are of single-particle origin, they are of many-particle origin in the fractional quantum Hall effect (FQHE) [2,3].Two recent experiments have observed hysteretic behavior and/or peak formation in electronic transport of 2DEG in the regime of the FQHE [4,5]. Minor discrepancies in data taken on opposite field sweeps are common and are usually attributed to the large inductance of the magnet and the resulting time delays or to slight temperature differences between both sweeps.…”

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Hysteresis and spikes in the quantum Hall effect

Zhu

Störmer

Pfeiffer³

et al. 2000

Phys. Rev. B

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We observe sharp peaks and strong hysteresis in the electronic transport of a two-dimensional electron gas (2DEG) in the region of the integral quantum Hall effect. The peaks decay on time scales ranging from several minutes to more than an hour. Momentary grounding of some of the contacts can vastly modify the strength of the peaks. All these features disappear under application of a negative bias voltage to the backside of the specimen. We conclude, that a conduction channel parallel to the high mobility 2DEG is the origin for the peaks and their hysteretic behavior.The hallmark of the integral and fractional quantum Hall effects are wide regions of vanishing magnetoresistance and wide plateaus in Hall resistance [1][2][3]. These features are centered around magnetic fields, that correspond to integral or fractional fillings of Landau levels of a two-dimensional electron gas (2DEG). Their origin is quantization of the electron orbits into Landau levels and the formation of localized states in real, slightly disordered 2DEG in the presence of a high magnetic field, B. Electrons in the localized states provide a reservoir, which is in equilibrium with the current-carrying, delocalized states and keep their occupation constant over wide stretches of B. While in the integral quantum Hall effect (IQHE) [1] the ingredients of this picture are of single-particle origin, they are of many-particle origin in the fractional quantum Hall effect (FQHE) [2,3].Two recent experiments have observed hysteretic behavior and/or peak formation in electronic transport of 2DEG in the regime of the FQHE [4,5]. Minor discrepancies in data taken on opposite field sweeps are common and are usually attributed to the large inductance of the magnet and the resulting time delays or to slight temperature differences between both sweeps. However, the recently observed effects are very large. Kronmueller et al. [4] observed the appearance of a huge spike at the position of the ν = 2/3 minimum when the magnetic field is ramped very slowly. The time scale for development of this feature can be as long as hours, which suggested the involvement of nuclear spins in its creation. Cho et al.[5] have observed hysteretic behavior in resistance traces taken on several fractions around filling factor ν = 1/2 and attribute it to non-equilibrium phases of composite fermions in this regime. The origin of these observations remains puzzling and the nature of the underlying nonequilibria remains unclear.We have observed strong hysteresis and the formation of sharp peaks in magneto-transport experiments on 2DEGs in quantum wells in the regime of the IQHE at temperatures of ∼0.1K. To our recollection, we have never observed such features in a traditional single heterojunction interface sample. The characteristic decay times for the sharp peaks can be as long as several hours. Their life time can be strongly altered by momentary grounding of the contacts. Hysteresis and spikes disappear on application of a voltage bias to an electrode on the back side of the s...

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“…The Coulomb energy only depends on the perpendicular field component and remains therefore unchanged. An alternative method to change the Zeeman energy, though experimentally more difficult, is to apply pressure to the sample [168]. Apart from that, the g-factor can also be influenced by the strength of the quantum confinement [169].…”

Section: The Electron Spin System In the Quantum Hall Effectmentioning

confidence: 99%

Spin and Charge Ordering in the Quantum Hall Regime

Frieß

2016

Springer Theses

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Hysteresis and Spin Transitions in the Fractional Quantum Hall Effect

Cited by 70 publications

References 16 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

Hysteresis and spikes in the quantum Hall effect

Spin and Charge Ordering in the Quantum Hall Regime

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