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77956320513
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φ = 0.01 corresponds B ≈ 250 T, which is quite a large magnetic field. Due to the small size of the present system, we have to take a strong magnetic field to ensure the magnetic length far smaller than the width of graphene ribbon. For a large system, the magnetic field can be greatly decreased and the numerical results remain the same.
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59949088258
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note
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Due to the lateral confinement of the system and the presence of the magnetic field, the carrier concentration n L / R is not strictly proportional to sgn (E L / R) E L / R 2. But it still is a good approximation because the carrier concentrations n L / R only are the slight fluctuations around sgn (E L / R) E L / R 2. In addition, this approximation does not change the value of the resistance plateaus, except for slightly changing the width of the resistance plateaus.
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