Josephson phenomena and quantum ferromagnetism in double-layer quantum Hall systems

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Abstract
We analyze an effective theory for double-layer quantum Hall systems whose effective Hamiltonian consists of a kinetic energy term for the Goldstone mode and a tunneling term for electrons. This system corresponds to the quantum ferromagnet theory recently proposed. It is shown that Josephson phenomena occur except for the Meissner effect. A detailed physical picture of the commensurate-incommensurate phase transition in the magnetic order is described on the analogy of superconductor Josephson junction. Plasmon excitations are analyzed in each phase.