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Mathematical analysis of electronic structure models for defected materials

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Academic year: 2021

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Figure 1.1: An example of a Bravais lattice with its Wigner-Seitz cell Γ. lattice of parameter a ą 0, the Bravais lattice is R “ aZ 3 , the dual lattice is R ˚ “ 2π
Figure 1.2: The band structure of the spectrum of H 0 per . σ H 0 per  σ H 0 per  ǫ F ǫ FInsulator Metal
Figure 1.4: An example of an extended defect in a Fermi sea: in a 3D space, a 2Dˆd slab of uniformly distributed nuclei is removed, where d P R ` represents the width of the slab.
Figure 1.5: An example of nuclei configuration of a quasi 1D periodic system.
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