Behaviour of the energy gap near a commensurate-incommensurate transition in double layer quantum Hall systems at nu=1

Abstract

The charged excitations in the system of the title are vortex-antivortex pairs in the spin-texture described in the theory by Yang et al which, in the commensurate phase, are bound together by a ``string''. It is shown that their excitation energy drops as the string lengthens as the parallel magnetic field approaches the critical value, then goes up again in the incommensurate phase. This produces a sharp downward cusp at the critical point. An alternative description based on the role of disorder in the tunnelling and which appears not to produce a minimum in the excitation energy is also discussed. It is suggested that a similar transition could also occur in compressible Fermi-liquid-like states.

latex file, 17 pages

References in corpus (4)

• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• Quantum Ferromagnetism and Phase Transitions in Double-Layer Quantum Hall Systems
• Compressible Phase of a Double-Layer Electron System with Total Landau-Level Filling Factor One-Half
• Theories for v=1/2 in Single- and Double-Layer Systems

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• Quantum Hall Stripe Phases at Integer Filling Factors
• Pseudospin Soliton in the $\nu =1$ Bilayer Quantum Hall State
• Topological Excitations in Double-Layer Quantum Hall systems
• Strongly interacting bosons in a 1D optical lattice at incommensurate densities
• $\nu =2$ Bilayer Quantum Hall System in Tilted Magnetic Field
• Reentrant Melting of Soliton Lattice Phase in Bilayer Quantum Hall System
• Rippled state of double-layer quantum Hall systems
• Properties of the Soliton-Lattice State in Double-Layer Quantum Hall Systems
• Anisotropic Transport of Quantum Hall Meron-Pair Excitations
• Diamagnetism and flux creep in bilayer exciton superfluids
• Optical absorption in the soliton-lattice state of a double-quantum-well system