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

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

1995-01-05

arxiv.org/abs/cond-mat/9501010v1

Physics

Condensed Matter

latex file, 17 pages

Scientific paper

10.1103/PhysRevB.52.1926

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.

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