SURFACE PHYSICS SURFACE PHYSICS OF OF TOPOLOGICAL INSULATORS - - PowerPoint PPT Presentation

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Jan 12, 2023 281 likes •614 views

SURFACE PHYSICS SURFACE PHYSICS OF OF TOPOLOGICAL INSULATORS TOPOLOGICAL INSULATORS MASSLESS ELECTRONS, MASSIVE IONS MASSLESS ELECTRONS, MASSIVE IONS MICHAEL EL-BATANOUNY MASSLESS MASSLESS versus MASSIVE MASSIVE Newtons second law F

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SURFACE PHYSICS SURFACE PHYSICS OF OF TOPOLOGICAL INSULATORS TOPOLOGICAL INSULATORS MASSLESS ELECTRONS, MASSIVE IONS MASSLESS ELECTRONS, MASSIVE IONS

MICHAEL EL-BATANOUNY

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MASSLESS MASSLESS versus MASSIVE MASSIVE

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Newton’s second law F = m a = 0 a ! E=

DIPERSION RELATION

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SPECIAL FEATURES SPECIAL FEATURES OF OF DISPERSION DISPERSION RELATIONS RELATIONS OF OF ELECTRONS AND ELECTRONS AND IONS IONS IN IN SOLIDS SOLIDS

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MOTION OF MOTION OF ATOMS (IONS) ATOMS (IONS)

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PARTICLE CHAIN

PHONONS

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MOTION OF ELECTRONS MOTION OF ELECTRONS

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INSULATOR METAL

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INSULATOR METAL

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ELECTRONIC DISPERSION IN GRAPHENE

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TOPOLOGICAL PROPERTIES

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GAUSS BONNET

TOPOLOGICAL INVARIANTS

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∫S k dA = 2 (1 – g ) Mod 2π

Gauss‐Bonnet Theorem

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TOPOLOGICAL INSULATORS TOPOLOGICAL INSULATORS

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TOPOLOGICAL INSULATOR v = 1

ORDINARY INSULATOR v = 0

BOUNDARY

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DIRAC CONE

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Dirac Cone ( Bi2Se 3)

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ELECTRON-ION ELECTRON-ION INTERACTION INTERACTION

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SURFACE PHONON SURFACE PHONON DISPERSIONS DISPERSIONS IN THE IN THE PRESENCE OF PRESENCE OF DIRAC FERMIONS DIRAC FERMIONS

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DI RAC CONE

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Rayleigh branch for hom ogeneous surface

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SURFACE RAYLEIGH WAVES Seismic Waves

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