Spontaneous coherence and the quantum Hall Effect in triple-layer electron systems

Physics – Condensed Matter

Scientific paper

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To appear in Phys. Rev. B, 20 pages, 5 PostScript figures uuencoded with TeX file

Scientific paper

10.1103/PhysRevB.53.15981

We investigate spontaneous interlayer phase coherence and the occurrence of the quantum Hall effect in triple-layer electron systems. Our work is based on a simple tight-binding model that greatly facilitates calculations and whose accuracy is verified by comparison with recent experiments. By calculating the ground state in an unrestricted Hartree-Fock approximation and the collective-mode spectrum in a time-dependent Hartree-Fock approximation, we construct a phase diagram delimiting regions in the parameter space of the model where the integer quantum Hall effect occurs in the absence of interlayer tunneling.

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