Incommensurate ground state of double-layer quantum Hall systems
Hanna, C. B. · MacDonald, A. H. · Girvin, S. M.
Original · EN
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∥ > Bc 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∥ 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∥ - Bc)⁻¹ when the CI transition is approached from the SL state.
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