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Volumn 83, Issue 19, 2011, Pages

Exact diagonalization study of the tunable edge magnetism in graphene

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EID: 79961111540     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.195432     Document Type: Article
Times cited : (31)

References (31)
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    • z=L/6-2 and L/3 filling, we were able to calculate the ground-state energy of an edge with length L=180 with a Hilbert space dimension of only 26 580. In this case we were limited only by the 64-bit limit of the internal storage of the basis vectors and longer edges are in principle accessible by a modification of our code
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    • It is only important to assume that this energy scale is large enough so that the restriction to the zero-energy sector of H is well justified. The validity of this assumption has been checked in Ref. 13.
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    • F,0), which is a consequence of the origin of Γ in the 2D honeycomb Hubbard model (see Ref. 13)
    • F, 0), which is a consequence of the origin of Γ in the 2D honeycomb Hubbard model (see Ref. 13).
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    • An edge with L unit cells in length corresponds to only L / 3 k -space points in the reduced Brillouin zone in which the edge states are defined.
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    • We have checked that the linearization of the single-particle spectrum does not change the results qualitatively
    • We have checked that the linearization of the single-particle spectrum does not change the results qualitatively.
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    • Fπ/U=0 corresponds to a pathologic potential in Ref. 14, as it can be reached by U→∞. At this point, all sectors with total spin 0≤S≤Smax are degenerate
    • Fπ/U=0 corresponds to a pathologic potential in Ref. 14, as it can be reached by U → ∞. At this point, all sectors with total spin 0≤S≤ Smax are degenerate.
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    • Note that the increase in the interaction vertex for the spin-down electrons with lowered Fermi level is overcompensated by the suppression due to the higher Fermi level of the spin-up electrons, so that in total the interaction is reduced as S grows
    • Note that the increase in the interaction vertex for the spin-down electrons with lowered Fermi level is overcompensated by the suppression due to the higher Fermi level of the spin-up electrons, so that in total the interaction is reduced as S grows.
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    • This decrease of 2 in S is due to the contribution of the left- and right-moving branch to the spin-polarization: Each branch contributes one spin flip
    • This decrease of 2 in S is due to the contribution of the left- and right-moving branch to the spin-polarization: Each branch contributes one spin flip.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.