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Volumn 79, Issue 3, 2009, Pages

Effective Hamiltonian of a three-orbital Hubbard model on the pyrochlore lattice: Application to LiV2O4

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EID: 60349114734     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.035115     Document Type: Article
Times cited : (19)

References (44)
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    • We choose "a plane including the bond (n-m) " out of xy, yz, and zx planes. For example, in the case of (1-3) bond, this plane corresponds to the yz plane as illustrated in Fig. 18.
    • We choose "a plane including the bond (n-m) " out of xy, yz, and zx planes. For example, in the case of (1-3) bond, this plane corresponds to the yz plane as illustrated in Fig. 18.
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    • Since the time-reversal symmetry is not broken in the situation considered, coupling constants should be real. Note that T2, T4, and T5 are pure imaginary and therefore couplings including only one of these cannot appear.
    • Since the time-reversal symmetry is not broken in the situation considered, coupling constants should be real. Note that T2, T4, and T5 are pure imaginary and therefore couplings including only one of these cannot appear.
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    • After the summation n and m, terms including T0 in J1 μν such as T0 (n) T8 (m) disappear in total. There are three such terms and, neglecting a trivial constant J1 00, the number of independent coupling constants for J1 μν is reduced to 13.
    • After the summation n and m, terms including T0 in J1 μν such as T0 (n) T8 (m) disappear in total. There are three such terms and, neglecting a trivial constant J1 00, the number of independent coupling constants for J1 μν is reduced to 13.


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