Collapse of integer Hall gaps in a double-quantum-well system

MacDonald, Allan H.; Pm, Platzman; Gs, Boebinger

doi:10.1103/physrevlett.65.775

Cited by 277 publications

(276 citation statements)

References 11 publications

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“…For simplicity, we have studied the collective modes for the state (3,3,1). All the other states can be studied by straightforward application of the same methods.…”

Section: A Collective Excitations For (M M N) Statesmentioning

confidence: 99%

“…In these systems the layer index is the new degree of freedom, and the interplay between the intralayer and the interlayer Coulomb interactions gives rise to very interesting physics. In particular, this competition can explain [3] the experimental observation [4] of the destruction or weakening of the IQHE at odd filling fractions. Another interesting case is the one of the ν = 1 2 state.…”

Section: Introductionmentioning

confidence: 99%

“…In Section II we discuss the generalization of the fermionic Chern-Simons field theory to double-layer systems, and derive the electromagnetic response functions. In Section III we calculate the spectrum of collective excitations for the (3,3,1) state and for the (m, m, m) states. In Section IV we show that the density response functions calculated within the gaussian approximation saturate the f -sum rule.…”

Section: Introductionmentioning

confidence: 99%

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Fermionic Chern-Simons theory for the fractional quantum Hall effect in bilayers

1995

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We generalize the fermion Chern-Simons theory for the Fractional Hall Effect (FQHE) which we developed before, to the case of bilayer systems. We study the complete dynamic response of these systems and predict the experimentally accessible optical properties. In general, for the so called (m, m, n) states, we find that the spectrum of collective excitations has a gap, and the wave function has the Jastrow-Slater form, with the exponents determined by the coefficients m, and n. We also find that the (m, m, m) states, i. e. , those states whose filling fraction is 1 m , have a gapless mode which may be related with the spontaneous appearance of the interlayer coherence. Our results also indicate that the gapless mode makes a contribution to the wave function of the (m, m, m) states analogous to the phonon contribution to the wave function of superfluid He 4 . We calculate the Hall conductance, and the charge and statistics of the quasiparticles. We also present an SU (2) generalization of this theory relevant to spin unpolarized or partially polarized single layers.

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“…For simplicity, we have studied the collective modes for the state (3,3,1). All the other states can be studied by straightforward application of the same methods.…”

Section: A Collective Excitations For (M M N) Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fermionic Chern-Simons theory for the fractional quantum Hall effect in bilayers

1995

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“…Explicit interlayer correlations are present in the fractional quantum Hall state at total Landau level filling ν = 1/2 1-5 as well as the celebrated bilayer excitonic condensate state at ν = 1 [4][5][6][7][8][9][10][11][12][13][14] . The ν = 1 excitonic condensate state is seen for small layer separation and an interlayer sufficiently large that interlayer tunneling is negligible.…”

Section: Introductionmentioning

confidence: 99%

Unequal layer densities in bilayer Wigner crystal at high magnetic fields

et al. 2012

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We report studies of pinning mode resonances of magnetic field induced bilayer Wigner crystals of bilayer hole samples with negligible interlayer tunneling and different interlayer separations d, in states with varying layer densities, including unequal layer densities. With unequal layer densities, samples with large d relative to the in-plane carrier-carrier spacing a, two pinning resonances are present, one for each layer. For small d/a samples, a single resonance is observed even with significant density imbalance. These samples, at balance, were shown to exhibit an enhanced pinning mode frequency [Zhihai Wang et al., Phys. Rev. Lett. 136804 (2007)], which was ascribed to a onecomponent, pseudospin ferromagnetic Wigner solid. The evolution of the resonance frequency and line width indicates the quantum interlayer coherence survives at moderate density imbalance, but disappears when imbalance is sufficiently large.

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“…In bilayer quantum Hall systems, broken symmetry ground states [1,2] that have spontaneous interlayer phase coherence were predicted some time ago [3][4][5][6][7][8]. This broken symmetry state is expected to be most robust near total Landau level filling factor ν = 1 and occurs only when interactions between electron in opposite layers are comparable in strength to interactions between electrons in the same layer.…”

Section: Introductionmentioning

confidence: 99%

Critical currents of ideal quantum Hall superfluids

2003

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Filling factor ν = 1 bilayer electron systems in the quantum Hall regime have an excitoniccondensate superfluid ground state when the layer separation d is less than a critical value dc. On a quantum Hall plateau current injected and removed through one of the two layers drives a dissipationless edge current that carries parallel currents, and a dissipationless bulk supercurrent that carries opposing currents in the two layers. In this paper we discuss the theory of finite supercurrent bilayer states, both in the presence and in the absence of symmetry breaking inter-layer hybridization. Solutions to the microscopic mean-field equations exist at all condensate phase winding rates for zero and sufficiently weak hybridization strengths. We find, however, that collective instabilities occur when the supercurrent exceeds a critical value determined primarily by a competition between direct and exchange inter-layer Coulomb interactions. The critical current is estimated using a local stability criterion and varies as (dc − d) 1/2 when d approaches dc from below. For large inter-layer hybridization, we find that the critical current is limited by a soliton instability of microscopic origin.

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Collapse of integer Hall gaps in a double-quantum-well system

Cited by 277 publications

References 11 publications

Fermionic Chern-Simons theory for the fractional quantum Hall effect in bilayers

Fermionic Chern-Simons theory for the fractional quantum Hall effect in bilayers

Unequal layer densities in bilayer Wigner crystal at high magnetic fields

Critical currents of ideal quantum Hall superfluids

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