surface physics of topological insulators massless...
TRANSCRIPT
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SURFACE PHYSICSOF
TOPOLOGICAL INSULATORS
MASSLESS ELECTRONS, MASSIVE IONS
MICHAEL EL-BATANOUNY
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MASSLESS versus MASSIVE
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Newton’s second lawF = m a
= 0 a !
E=
DIPERSION RELATION
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SPECIAL FEATURESOF
DISPERSION RELATIONSOF
ELECTRONS AND IONSIN
SOLIDS
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MOTION OF ATOMS (IONS)
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PARTICLE CHAINPHONONS
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MOTION OF ELECTRONS
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INSULATOR METAL
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INSULATOR METAL
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ELECTRONIC DISPERSIONIN
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
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TOPOLOGICALINSULATOR
v = 1
ORDINARYINSULATOR
v = 0
BOUNDARY
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DIRAC CONE
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Dirac Cone (Bi2Se3)
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ELECTRON-ION INTERACTION
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SURFACE PHONON DISPERSIONS
IN THE
PRESENCE OF DIRAC FERMIONS
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DIRAC CONE
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Rayleigh branch for homogeneous surface
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