Chern-Simons Gauge Theory for Double-Layer Electron System

Ezawa, Zyun F.; Iwazaki, Aiichi

doi:10.1142/s0217979292002450

Cited by 102 publications

(132 citation statements)

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“…For p 1 = p 2 = 1, and 2s 1 + 1 = 2s 1 + 1 = n = m, we obtain the (m, m, m) states [7,11] whose filling fractions are ν = 1 m . We can also consider the limit p 1 = p 2 ≡ p → ∞.…”

Section: A Mean Field Approximation: Allowed Fluid Statesmentioning

confidence: 94%

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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 p 1 = p 2 = 1, and 2s 1 + 1 = 2s 1 + 1 = n = m, we obtain the (m, m, m) states [7,11] whose filling fractions are ν = 1 m . We can also consider the limit p 1 = p 2 ≡ p → ∞.…”

Section: A Mean Field Approximation: Allowed Fluid Statesmentioning

confidence: 94%

“…In the gaussian approximation to the Chern-Simons Landau-Ginzburg theory for the double layer systems [7,11], these two modes have also residue proportional to Q 2 in the density correlation function. But in that approach, each of these modes separately saturates the f -sum rule.…”

Section: Ground State Wave Functionmentioning

confidence: 99%

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

1995

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“…Although we expect the presence of dissipationless tunneling current [4] in the state with the phase coherence, any small disturbance of the phase coherence caused by such excitations may give rise dissipation in the tunneling current.…”

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confidence: 90%

“…Hence, there are no physically relevant phases. But some of the bilayer quantum Hall states [4] are described only by using a single Chern-Simons gauge symmetry. The gauge symmetry rotates the phase of each type of bosonised electrons identically.…”

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confidence: 99%

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Pseudo-skyrmion effects on tunneling conductivity in coherent bilayer quantum Hall states atν=1

Iwazaki

2003

Phys. Rev. B

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We present a mechamism why interlayer tunneling conductivity in coherent bilayer quantum Hall states at ν = 1 is anomalously large, but finite in the recent experiment. According to the mechanism, pseudoSkyrmions causes the finite conductivity, although there exists an expectation that dissipationless tunneling current arises in the state. PseudoSkyrmions have an intrinsic polarization field perpendicular to the layers, which causes the dissipation.Using the mechanism we show that the large peak in the conductivity remains for weak parallel magnetic field, but decay rapidly after its strength is beyond a critical one, ∼ 0.1 Tesla.

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Multicomponent Quantum Hall Systems: The Sum of Their Parts and More

Girvin

MacDonald

1996

Perspectives in Quantum Hall Effects

164

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The physics of the fractional quantum Hall effect is the physics of interacting electrons confined to a macroscopically degenerate Landau level. In this Chapter we discuss the theory of the quantum Hall effect in systems where the electrons have degrees of freedom in addition to the two-dimensional orbital degree of freedom. We will be primarily interested in the situation where a finite number of states, most-commonly two, are available for each orbital state within a degenerate Landau level and will refer to these systems as multicomponent systems. Physical realizations of the additional degree of freedom include the electron spin, the valley index in multi-valley semiconductors, and the layer index in multiple-quantum-well systems. The consideration of multi-component systems expands the taxonomy of incompressible states and fractionally charged excitations, and for example, leads to the appearance of fractions with even denominators. More interestingly, it also leads us to new physics, including novel spontaneously broken symmetries and in some cases, finite temperature phase transitions. We present an introduction to this rich subject.

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Chern-Simons Gauge Theory for Double-Layer Electron System

Cited by 102 publications

References 0 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

Pseudo-skyrmion effects on tunneling conductivity in coherent bilayer quantum Hall states atν=1

Multicomponent Quantum Hall Systems: The Sum of Their Parts and More

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