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Here we assume that the x axis is along the zigzag direction. The formulas for A correspond to the valley K= (-4π/3√3a,0 ). The vector potential for the valley -K has the opposite sign
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Here we assume that the x axis is along the zigzag direction. The formulas for A correspond to the valley K = (- 4 π / 3 √ 3 a, 0). The vector potential for the valley - K has the opposite sign.
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The error made in this approximation is presumably no greater than the error involved in approximating the real shape of the sample by a simple rectangle.
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The error made in this approximation is presumably no greater than the error involved in approximating the real shape of the sample by a simple rectangle.
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In any case, the successful recent observation of the QHE in the two-terminal setup (Refs.) suggest that the source (drain) contact resistance is not the issue. Theoretical study of transport in zero magnetic field (Ref.) point to the same conclusion: the pseudomagnetic field at the source (drain) contacts becomes a significant perturbation only at very small densities or very large strains and is further relaxed by residual impurities
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In any case, the successful recent observation of the QHE in the two-terminal setup (Refs.) suggest that the source (drain) contact resistance is not the issue. Theoretical study of transport in zero magnetic field (Ref.) point to the same conclusion: the pseudomagnetic field at the source (drain) contacts becomes a significant perturbation only at very small densities or very large strains and is further relaxed by residual impurities.
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