The effect of an inhomogeneous magnetic field, which varies inversely with distance on the ground state energy level of graphene, is studied. We analytically show that graphene under the influence of a magnetic field arising from a straight long current-carrying wire (proportional to the magnetic field from carbon nanotubes and nanowires) exhibits zero-energy solutions and find that contrary to the case of a uniform magnetic field for which the zero-energy modes show the localization of electrons entirely on just one sublattice corresponding to a single valley Hamiltonian, zero-energy solutions in this case reveal that the probabilities for the electrons to be on both sublattices, say A and B, are the same.
机构:
Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
Fan, Xiong
Huang, Wenjun
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Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
Huang, Wenjun
Ma, Tianxing
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机构:
Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R ChinaBeijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
Ma, Tianxing
Wang, Li-Gang
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Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China
Zhejiang Univ, Dept Phys, Hangzhou 310027, Zhejiang, Peoples R ChinaBeijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
机构:
Natl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, CanadaNatl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, Canada
Voznyy, O.
Gueclue, A. D.
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Natl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, CanadaNatl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, Canada
Gueclue, A. D.
Potasz, P.
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Natl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, Canada
Wroclaw Univ Technol, Inst Phys, PL-50370 Wroclaw, PolandNatl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, Canada
Potasz, P.
Hawrylak, P.
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机构:
Natl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, CanadaNatl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, Canada
机构:
Natl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, Canada
Wroclaw Univ Technol, Inst Phys, PL-50370 Wroclaw, PolandNatl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, Canada
Potasz, P.
Guclu, A. D.
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机构:
Natl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, CanadaNatl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, Canada
Guclu, A. D.
Hawrylak, P.
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h-index: 0
机构:
Natl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, CanadaNatl Res Council Canada, Inst Microstruct Sci, Ottawa, ON, Canada