1995Physical review. B, Condensed matterOpen access

Composite-fermion analysis of the double-layer fractional quantum Hall system

T. Nakajima, Hideo Aoki

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Abstract

Effect of interlayer tunneling in the double-layer fractional quantum Hall system at the total Landau-level filling of \ensuremath{\nu}=1/m (m=odd integer) is analyzed with the composite-fermion approach in which the flux attachment is directly applied to the electron-electron interaction. A comparison with a numerical result indicates that the vertically coupled Laughlin liquids may be regarded as a system of composite fermions with reduced interparticle interactions and unchanged interlayer tunneling, which makes the quantum Hall regime, identified by a gap in the pseudospin-wave excitation mode, wider as \ensuremath{\nu} becomes 1/3, 1/5,. . ..

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Effect of interlayer tunneling in the double-layer fractional quantum Hall system at the total Landau-level filling of \ensuremath{\nu}=1/m (m=odd integer) is analyzed with the composite-fermion approach in which the flux attachment is directly applied to the electron-electron interaction. A comparison with a numerical result indicates that the vertically coupled Laughlin liquids may be regarded as a system of composite fermions with reduced interparticle interactions and unchanged interlayer tunneling, which makes the quantum Hall regime, identified by a gap in the pseudospin-wave excitation mode, wider as \ensuremath{\nu} becomes 1/3, 1/5,. . ..

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Available abstract

Effect of interlayer tunneling in the double-layer fractional quantum Hall system at the total Landau-level filling of \ensuremath{\nu}=1/m (m=odd integer) is analyzed with the composite-fermion approach in which the flux attachment is directly applied to the electron-electron interaction. A comparison with a numerical result indicates that the vertically coupled Laughlin liquids may be regarded as a system of composite fermions with reduced interparticle interactions and unchanged interlayer tunneling, which makes the quantum Hall regime, identified by a gap in the pseudospin-wave excitation mode, wider as \ensuremath{\nu} becomes 1/3, 1/5,. . ..

Key concepts: Composite fermion, Quantum Hall effect, Fractional quantum Hall effect, Quantum tunnelling, Landau quantization, Condensed matter physics, Physics, Fermion

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