Tran_Quantum-Hall - Pairing instability of composite...

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04/30/09 FSU Physics Department 1 Pairing instability of composite fermions in double layer quantum Hall system Quantum Hall effect Composite fermion FQHE in double layer electron system Proposal work Huan D. Tran
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04/30/09 FSU Physics Department 2 Quantum Hall Effect ρ ρ ρ ρ = y x yy yx xy xx y x j j E E W L I V R W W I V R xx L L xy xy H H ρ = = ρ = ρ = =
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04/30/09 FSU Physics Department 3 Quantum Hall Effect (cont.) IQHE: ν = 1, 2, … (‘80) FQHE: ν =1/3, 2/5, … (‘82) (more than 50) en B R H = 1 2 2 - ν ν π = B e R H x Strong B  Low T
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04/30/09 FSU Physics Department 4 Quantum Hall Effect (cont.) Störmer, RMP  71 , 875 (‘99)
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04/30/09 FSU Physics Department 5 Quantum Hall Effect (cont.) IQHE, physics of non-interacting electron system Quantized cyclotron  orbits (Landau levels) eB l m eB e C x π = = ϖ 2 ; 2 0 π = φ 2 Be N Be n x π = ν 2 ν : number of filled Landau levels ( 29 C k k E ϖ + = 2 1
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04/30/09 FSU Physics Department 6 Quantum Hall Effect (cont.) ν = 1 B 1 B 2 R H B ν = 2 e x π = φ = 2 0 ν : number of electrons per flux quantum
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04/30/09 FSU Physics Department 7 Quantum Hall Effect (cont.) Disorder  extended states Laughlin, PRB  23 , 5632 (‘81)   
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This note was uploaded on 11/10/2011 for the course PHY 5157 taught by Professor Berg during the Fall '08 term at University of Florida.

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Tran_Quantum-Hall - Pairing instability of composite...

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