Stripes in Quantum Hall Double Layer Systems

Details Stripes in Quantum Hall Double Layer Systems Stripes in Quantum Hall Double Layer Systems

2000-02-15

arxiv.org/abs/cond-mat/0002218v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 8 figures included

Scientific paper

10.1103/PhysRevB.62.10268

We present results of a study of double layer quantum Hall systems in which each layer has a high-index Landau level that is half-filled. Hartree-Fock calculations indicate that, above a critical layer separation, the system becomes unstable to the formation of a unidirectional coherent charge density wave (UCCDW), which is related to stripe states in single layer systems. The UCCDW state supports a quantized Hall effect when there is tunneling between layers, and is {\it always} stable against formation of an isotropic Wigner crystal for Landau indices $N \ge 1$. The state does become unstable to the formation of modulations within the stripes at large enough layer separation. The UCCDW state supports low-energy modes associated with interlayer coherence. The coherence allows the formation of charged soliton excitations, which become gapless in the limit of vanishing tunneling. We argue that this may result in a novel {\it ``critical Hall state''}, characterized by a power law $I-V$ in tunneling experiments.

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