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Volumn 81, Issue 24, 2010, Pages

Effect of disorder on longitudinal resistance of a graphene p-n junction in the quantum Hall regime

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EID: 77956326347     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.245417     Document Type: Article
Times cited : (23)

References (31)
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    • note
    • If the disorder region is extended to the whole dashed-box region, including the red-site (dark gray) central region and two green-site (light gray) regions as shown in Fig., the numerical results are almost unchanged. This is because the Hall edge states are robust against the disorder.
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    • note
    • 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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    • note
    • 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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