â¢ Nice : Matthieu Bellec, Ulrich Kuhl, Fabrice Mortessagne â¢ Orsay ...

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Outline 1. Amazing graphene ! • short CV • dispersion relation • density of states 2. Microwave realization 3. Topological phase transition of Dirac points • prediction in strained graphene • observation in microwave experiments • armchair edge states • isolated resonator • coupling between 2 resonators • (Local) Density Of States • Tight-binding model with highorder nearest-neighbor couplings • Eigenfunctions
Amazing graphene !
Page 1: Recent developments in wave propaga
Page 5 and 6: 2D carbon crystal • 3 coplanar σ
Page 7 and 8: Band structure • triangular Brava
Page 9 and 10: Relativistic particles Close to Di
Page 11 and 12: Linear density of states ρ(ε) = 2
Page 13 and 14: Typical experimental setup Network
Page 15 and 16: Microwave tight-binding setup New :
Page 17 and 18: Dielectric scatterer/resonator 5 mm
Page 19 and 20: Isolated resonator y (mm) 20 15 10
Page 21 and 22: Isolated resonator • Bare frequen
Page 23 and 24: Two coupled resonators d H(d) = spl
Page 25 and 26: Tight-binding coupling 20 y (mm) 15
Page 27 and 28: Tight-binding coupling 20 y (mm) 15
Page 29 and 30: Local Density Of States Experimenta
Page 31 and 32: Density Of States 3 4 1, 2 d = 12 m
Page 33 and 34: Density Of States d = 13 mm
Page 35 and 36: Tight-binding model t ≡ nearest-n
Page 37 and 38: tight-binding couplings nearest-nei
Page 39 and 40: tight-binding couplings nearest-nei
Page 41 and 42: Density Of States Dispersion relati
Page 47 and 48: Experiments vs TB model 5 TABLE I.
Page 49 and 50: Eigenstates • a great diversity o
Page 51 and 52: Degenerated states e) f) 30 g(ν) 2
Page 53 and 54:
Degenerated states b) a) a) b) c) c
Page 55 and 56:
g(ν) 30 25 20 15 10 5 a) Degenerat
Page 57 and 58:
Deformed graphene • graphene sust
Page 59 and 60:
Microwave investigations R egular a
Page 61 and 62:
Armchair edge states ! a) b) c) d)
Page 63:
Work in progress • extensive inve
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â¢ Nice : Matthieu Bellec, Ulrich Kuhl, Fabrice Mortessagne â¢ Orsay ...

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â¢ Nice : Matthieu Bellec, Ulrich Kuhl, Fabrice Mortessagne â¢ Orsay ...