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SURFACE PHYSICSOF
TOPOLOGICAL INSULATORS
MASSLESS ELECTRONS, MASSIVE IONS
MICHAEL EL-BATANOUNY
MASSLESS versus MASSIVE
Newton’s second lawF = m a
= 0 a !
E=
DIPERSION RELATION
SPECIAL FEATURESOF
DISPERSION RELATIONSOF
ELECTRONS AND IONSIN
SOLIDS
MOTION OF ATOMS (IONS)
PARTICLE CHAINPHONONS
MOTION OF ELECTRONS
INSULATOR METAL
INSULATOR METAL
ELECTRONIC DISPERSIONIN
GRAPHENE
TOPOLOGICAL PROPERTIES
GAUSS BONNET
TOPOLOGICAL INVARIANTS
∫S k dA = 2 (1 – g ) Mod 2π
Gauss‐Bonnet Theorem
TOPOLOGICAL INSULATORS
TOPOLOGICALINSULATOR
v = 1
ORDINARYINSULATOR
v = 0
BOUNDARY
DIRAC CONE
Dirac Cone (Bi2Se3)
ELECTRON-ION INTERACTION
SURFACE PHONON DISPERSIONS
IN THE
PRESENCE OF DIRAC FERMIONS
DIRAC CONE
Rayleigh branch for homogeneous surface