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5
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0000425093
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V. P. Antropov, M. I. Katsnelson, B. N. Harmon, M. van Schilfgaarde, and D. Kusnezov, Phys. Rev. B 54, 1019 (1996).
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(1996)
Phys. Rev. B
, vol.54
, pp. 1019
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Antropov, V.P.1
Katsnelson, M.I.2
Harmon, B.N.3
van Schilfgaarde, M.4
Kusnezov, D.5
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10
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0038942463
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J. Callaway, A. K. Chatterjee, S. P. Singhal, and A. Ziegler, Phys. Rev. B 28, 3818 (1983).
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(1983)
Phys. Rev. B
, vol.28
, pp. 3818
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Callaway, J.1
Chatterjee, A.K.2
Singhal, S.P.3
Ziegler, A.4
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15
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85037882546
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The Hamiltonian used is (Formula presented)
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The Hamiltonian used is (Formula presented)
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-
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16
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85037884968
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The spin-orbit contribution (Formula presented) is not included in the Hamiltonian. (Formula presented) is the periodic electrostatic field from the ions and (Formula presented)
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The spin-orbit contribution (Formula presented) is not included in the Hamiltonian. (Formula presented) is the periodic electrostatic field from the ions and (Formula presented)
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-
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17
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85037882213
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The left-hand side of Eq. (14) will contain the term (Formula presented). The Heisenberg field operators in the Green function now have a time dependence given by (Formula presented) where (Formula presented).
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The left-hand side of Eq. (14) will contain the term (Formula presented). The Heisenberg field operators in the Green function now have a time dependence given by (Formula presented) where (Formula presented).
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-
-
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21
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85037893759
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-
A sum rule can be established for the imaginary part of the response function: (Formula presented).
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A sum rule can be established for the imaginary part of the response function: (Formula presented).
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-
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22
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85037885662
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It means that the total charge is (Formula presented) and the magnetization (Formula presented). The transverse response function corresponds to magnetic field in (Formula presented) plane and the longitudinal response to a field in z direction.
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It means that the total charge is (Formula presented) and the magnetization (Formula presented). The transverse response function corresponds to magnetic field in (Formula presented) plane and the longitudinal response to a field in z direction.
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24
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-
85037877156
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For antiferromagnetic as well as ferromagnetic materials we can always choose the Green’s function to be diagonal in spin space.
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For antiferromagnetic as well as ferromagnetic materials we can always choose the Green’s function to be diagonal in spin space.
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25
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36149016819
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L. Hedin, Phys. Rev. 139, A796 (1965).
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(1965)
Phys. Rev.
, vol.139
, pp. A796
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Hedin, L.1
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