Journal
PHYSICAL REVIEW B
Volume 97, Issue 20, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.97.205434
Keywords
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Funding
- National Science Foundation of China [11774269]
- Dutch Science Foundation NWO/FOM [16PR1024]
- European Research Council [338957]
- Netherlands National Computing Facilities foundation (NCF)
- Netherlands Organisation for Scientific Research (NWO)
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Recent progress in the fabrication of materials has made it possible to create arbitrary nonperiodic two-dimensional structures in the quantum plasmon regime. This paves the way for exploring the quantum plasmomc properties of electron gases in complex geometries. In this work we study systems with a fractal dimension. We calculate the full dielectric functions of two prototypical fractals with different ramification numbers, namely the Sierpinski carpet and gasket. We show that the Sierpinski carpet has a dispersion comparable to a square lattice, but the Sierpinski gasket features highly localized plasmon modes with a flat dispersion. This strong plasmon confinement in finitely ramified fractals can provide a novel setting for manipulating light at the quantum level.
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