2005
DOI: 10.1103/physrevlett.94.096802
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Spin Degree of Freedom in theν=1Bilayer Electron System Investigated by Nuclear Spin Relaxation

Abstract: The nuclear-spin-relaxation rate 1/T1 has been measured in a bilayer electron system at and around total Landau level filling factor ν = 1. The measured 1/T1, which probes electron spin fluctuations, is found to increase gradually from the quantum Hall (QH) state at low fields through a phase transition to the compressible state at high fields. Furthermore, 1/T1 in the QH state shows a small but noticeable increase away from ν = 1. These results demonstrate that, as opposed to common assumption, the electron s… Show more

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Cited by 57 publications
(65 citation statements)
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“…As discussed above, these wavefunctions lack CF pairing that is included in Eqs. (16) and (25). Although these wavefunctions clearly capture some of the physics of the crossover from the 111 to the CF liquid, it is clear that pairing is required in order to have a high degree of accuracy.…”
Section: B Mixed Cf-cb Resultsmentioning
confidence: 99%
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“…As discussed above, these wavefunctions lack CF pairing that is included in Eqs. (16) and (25). Although these wavefunctions clearly capture some of the physics of the crossover from the 111 to the CF liquid, it is clear that pairing is required in order to have a high degree of accuracy.…”
Section: B Mixed Cf-cb Resultsmentioning
confidence: 99%
“…As our trial wavefunctions are given as variational states, we first need to optimize the variational parameters (g k , cB) to obtain the optimal trial state for each layer separation d. Given an explicit expression for a trial wavefunction at layer separation d, Monte-Carlo may be used to numerically evaluate observables such as the ground state energy, which we compare to similar results calculated using exact diagonalization methods. We also evaluate the overlap of the trial states (25) with the exact groundstate wavefunctions. We find that our trial wavefunctions provide extremely accurate representations of the exact ground states.…”
Section: Numerical Resultsmentioning
confidence: 99%
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“…[16][17][18][19][20][21] Although we understand well both the coherent phase at d / l → 0 and the composite Fermi-liquid state at d / l → ϱ, the transition between them has been shrouded in mystery. There have been many experimental [22][23][24][25][26][27][28][29][30][31][32][33][34][35] and theoretical [36][37][38][39][40][41][42][43][44][45][46][47][48] studies regarding the nature of this transition. While some of these theoretical works point to a direct transition between the two limiting phases, either continuous 45 or of first order, 42,43 some other works predict the existence of various types of exotic intermediate phases, including translational symmetry broken phase, [36][37][38]46 composite-fermion paired state, 39,40,47 phase of coexisting composite fermions and composite bosons, 44,48,…”
Section: Introductionmentioning
confidence: 99%