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Excitonic BEC in in Quantum Hall Bilayers Ramin Abolfath NRCC Anton Burkov UCSB Jim Eisenstein Cal Tech. Steve Girvin Yale Yogesh Joglekar LANL Jairo Sinova Texas A&M Ady Stern Weizmann Leo Radzihovsky UC Alvaro Nunez UTA Enrico Rossi UTA Giovanni Vignale UMC University of Texas at Austin May 2005
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Reference Eisenstein and AHM Nature 432, 691 (2004)
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Josephson Qubit Devoret Walraff & Martinis cond-mat/0411 Non-linear Non-Dissipative
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Landau Liftshitz Gilbert
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Excitons – Elementary Excitations of Intrinsic Semiconductors e - h h e Valence Band Conduction Band
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Excitonic BEC and Superfluidity?
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Electron-Hole Pairs (n’,n)=( , ) =Ferromagnetism (n’,n)=(c,v) = Excitonic BECs (n’,n)=(TopLayer,BottomLayer) Order Parameter Counterflow Superfluidity
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Ga As Si AlGaAs GaAs 100 A AlGaAs Double Quantum Well - Quantum Wells
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Ga As ultra high vacuum heated cells high quality GaAs substrate Al Molecular Beam Epitaxy Pfeiffer - Bell Labs Shayegan – Princeton
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Electrons and Holes in the QH Regime Add magnetic field Particle-hole transformation Assemble Bilayer
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I I e - voltmeter 0 0
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Electron-hole Pair Current
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Superflow in Electron-Electron Bilayers Kellogg and Eisenstein cond-mat/0401521 Hall Angle Not Large σ xx 1000 e 2 /h
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Interlayer Voltage 0 Tunneling rate 0 Josephson-like Currents
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Josephson Effect J.J. Dynamics eV = 0 Δ sin(φ) = I bias Correct Explanation? 0
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Collective Dynamics & Dissipation Ferromagnets vs. Josephson Junctions vs. Bilayers J.J. Dynamics Thin Film Ferromagnet Dynamics
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Joglekar TDHFA+SCBA α φ >> α N Joglekar & AHM PRB (2002)
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Thin Film Ferromagnets Buhrman & Ralph, MSU, NIST, Orsay Thin Film Ferromagnet Dynamics Spin Transfer
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Transport Orbitals eV Condensate Orbitals K = X l 2 Coherent Edge Transport E mpl 10 -6 eV Δ QP 10 -3 eV G e 2 /h Δ t 10 -9 eV V * 10 -6 Volts
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Excitonic Bose Einstein Condensation in Quantum Hall Bilayers ! Macroscopic Quantum Coherence properties different from both JJ’s and thin film magnets
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