Quantum Theory of the Solid State 1991
DOI: 10.1016/b978-0-12-155203-9.50006-7
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Electronic Structure

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Cited by 40 publications
(63 citation statements)
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“…The optical conductivity tensors are then evaluated by integrating the dipole matrix elements generated using the MLWFs over the entire Brillouin zone with a dense k-mesh of 125×125×1. The absorptive parts of optical conductivity tensor, i.e., real diagonal and imaginary off-diagonal elements, read as [41][42][43],…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The optical conductivity tensors are then evaluated by integrating the dipole matrix elements generated using the MLWFs over the entire Brillouin zone with a dense k-mesh of 125×125×1. The absorptive parts of optical conductivity tensor, i.e., real diagonal and imaginary off-diagonal elements, read as [41][42][43],…”
Section: Methodsmentioning
confidence: 99%
“…On the theoretical side, Guo and Ebert[45] systematically calculated the MO spectra of Fe(Co)/Cu(Ag, Au, Pd, Pt) multilayers using the firstprinciples method. They found that except for the case of Co 2 Pt 1 (q K max =0.62 deg), the Kerr rotation angels in all the other systems are less than 0 43. deg in the energy range of 0∼8 eV.…”
mentioning
confidence: 98%
“…where g v is the valley degeneracy, m * es is the relative effective mass of source electrons, and K es (𝜖) is the collective energy spectrum of source electrons, [38,43] taking into account the energy-level occupancy described by the Maxwell-Boltzmann distribution in thermal equilibrium. However, what is of particular interest is the situation where the system is driven away from thermal equilibrium by applied V DS .…”
Section: Landauer-qflps Modelingmentioning
confidence: 99%
“…Let us note that, the identity e ia•(p+qr×B/2) = e ia•p e i(qB×a)•r/2 fulfills due to the fact, that only different components of p and r are involved in (p + qr × B/2) and hence [e ia•p , e i(qB×a)•r/2 ] = 0. It can be shown, that [ Ĵ(a), ĤM ] = 0, however [ Ĵt 1 (a), Ĵt 2 (a)] = 0 [333,335]. Therefore, Ĵ(a) is a good choice to describe translation in the presence of a homogeneous magnetic field, but the algebra of these operators is so complicated, that it prohibited any possibility of an efficient application.…”
Section: Periodic Systems In Magnetic Fieldmentioning
confidence: 99%
“…A ′ (r, t) = A(r, t) + ∇f (r) and simultaneously φ ′ (r, t) = φ(r) − ∂f ∂t does not effect the observables, e.g. E j eigenvalues, but transforms the Hamiltonian and its eigenvectors: r) unitary transformation [335,422]. We are already familiar with the scalar potential gauge, for homogeneous electric field, E; where A(r, t) = 0, φ(r, t) = −Er and q = −1 as a charge of an electron.…”
Section: Appendix a Multipole Matrix Elements A1 Matrix Elements With...mentioning
confidence: 99%