Incommensurate ground state of double-layer quantum Hall systems

Details Incommensurate ground state of double-layer quantum Hall systems Incommensurate ground state of double-layer quantum Hall systems

2001-03-03

arxiv.org/abs/cond-mat/0103073v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 7 figures, to be published in Physical Review B

Scientific paper

10.1103/PhysRevB.63.125305

Double-layer quantum Hall systems possess interlayer phase coherence at sufficiently small layer separations, even without interlayer tunneling. When interlayer tunneling is present, application of a sufficiently strong in-plane magnetic field $B_\parallel > B_c$ drives a commensurate-incommensurate (CI) transition to an incommensurate soliton-lattice (SL) state. We calculate the Hartree-Fock ground-state energy of the SL state for all values of $B_\parallel$ within a gradient approximation, and use it to obtain the anisotropic SL stiffness, the Kosterlitz-Thouless melting temperature for the SL, and the SL magnetization. The in-plane differential magnetic susceptibility diverges as $(B_\parallel - B_c)^{-1}$ when the CI transition is approached from the SL state.

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