“…The reproducibility after thermal cycling is good evidence that tunneling is not through impurities. The results also match earlier tunneling experiments [12,15,[17][18][19]24]. These experiments, looking at tunneling between a 2DES and another 2DES or a 1D array or single 1D wire, all confirmed that the results arise from singlestep elastic tunneling.…”
The tunneling current between an electron gas with a periodic potential in two dimensions and a plain two-dimensional electron system (2DES) has been studied. The strength of the periodic potential, the subband energy of the plain 2DES, and an applied in-plane magnetic field were varied, mapping the Fourier transform of the periodic wave function. Periodic peaks were observed and explained by translations in the reciprocal lattice. When the potential was strongly modulated to form an array of antidots, commensurability peaks were seen in lateral transport, but, as expected, not in tunneling.
“…The reproducibility after thermal cycling is good evidence that tunneling is not through impurities. The results also match earlier tunneling experiments [12,15,[17][18][19]24]. These experiments, looking at tunneling between a 2DES and another 2DES or a 1D array or single 1D wire, all confirmed that the results arise from singlestep elastic tunneling.…”
The tunneling current between an electron gas with a periodic potential in two dimensions and a plain two-dimensional electron system (2DES) has been studied. The strength of the periodic potential, the subband energy of the plain 2DES, and an applied in-plane magnetic field were varied, mapping the Fourier transform of the periodic wave function. Periodic peaks were observed and explained by translations in the reciprocal lattice. When the potential was strongly modulated to form an array of antidots, commensurability peaks were seen in lateral transport, but, as expected, not in tunneling.
“…Although the LL peaks associated with the back layer do not shift much with V g , there is a distinct S-shaped movement of the back layer peaks in the region between crossings with those of the front layer. This is attributed to interlayer charge redistribution which occurs so as to minimize the total energy [2].…”
“…This behavior is similar to that in a parallel plate capacitor. 19 Once the top well is depleted, the density in the bottom well can be reduced by further negatively biasing the gate. Figure 2͑c͒ schematically shows the subband electron densities in the presence of tunneling.…”
We have investigated the evolution of quantum Hall states in a GaAs-Al x Ga 1Ϫx As bilayer electron system by low-temperature magnetoresistivity measurements as the system was driven from a balanced to an offbalanced configuration. At low magnetic fields, odd integer filling factor quantum Hall states were observed on balance owing to the symmetric-antisymmetric tunneling gap. However, at high magnetic fields, in the regime of tunneling gap collapse, we observed anomalous quantum Hall states at vϭ2 off balance and vϭ3 on balance. At vϭ2, an energy gap was present all the way from the balanced configuration to far off balance, when only one quantum well was occupied. This is attributed to a transition from a spin-polarized state on balance to a spin-singlet state off balance, either by an abrupt exchange-driven phase transition or a continuous phase transition via a series of interlayer phase coherent states.
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