Critical points between quantum Hall states
Simple interacting field theories of quantum phase transitions between
different Laughlin quantum Hall liquids are considered. In paper 1, the
presence of a non-zero interaction strength at the critical fixed point
is shown to lead to transport properties which depend sensitively on the
order in which the measurement frequency and the absolute temperature are
sent to zero; such results are of relevance to microwave conductivity measurements
on quantum Hall systems (Engel et al. Physical Review Letters 71,
2638 (1993)). Paper 2 contains a description of perhaps the only solvable
theory which accounts for the long-rage Coulomb interaction between the
electrons.
PAPERS
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Non-zero temperature transport near fractional quantum
Hall critical points, S. Sachdev, Physical Review B 57, 7157
(1998); cond-mat/9709243.
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Coulomb interactions at quantum Hall critical points
of systems in a periodic potential, J. Ye and S. Sachdev, Physical
Review Letters 80, 5409 (1998); cond-mat/9712161.
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