Theory of Bilayer Graphene Spectroscopy

1. Front Matter

   Pages i-x

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2. Introduction

   • Marcin Mucha-Kruczyński

   Pages 1-8

3. The Tight-Binding Approach and the Resulting Electronic Structure

   • Marcin Mucha-Kruczynski

   Pages 9-21

4. Angle-Resolved Photoemission Spectroscopy

   • Marcin Mucha-Kruczynski

   Pages 23-38

5. Magneto-Optical Spectroscopy

   • Marcin Mucha Kruczynski

   Pages 39-61

6. Electronic Raman Spectroscopy

   • Marcin Mucha-Kruczynski

   Pages 63-75

7. Conclusions

   • Marcin Mucha Kruczynski

   Pages 77-79

8. Back Matter

   Pages 81-84

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This thesis presents the theory of three key elements of optical spectroscopy of the electronic excitations in bilayer graphene: angle-resolved photoemission spectroscopy (ARPES), visible range Raman spectroscopy, and far-infrared (FIR) magneto-spectroscopy. Bilayer graphene (BLG) is an atomic two-dimensional crystal consisting of two honeycomb monolayers of carbon, arranged according to Bernal stacking. The unperturbed BLG has a unique band structure, which features chiral states of electrons with a characteristic Berry phase of 2$\pi$, and it has versatile properties which can be controlled by an externally applied transverse electric field and strain. It is shown in this work how ARPES of BLG can be used to obtain direct information about the chirality of electron states in the crystal. The author goes on to describe the influence of the interlayer asymmetry, which opens a gap in BLG, on ARPES and on FIR spectra in a strong magnetic field. Finally, he presents a comprehensive theory of inelastic Raman scattering resulting in the electron-hole excitations in bilayer graphene, at zero and quantizing magnetic fields. This predicts their polarization properties and peculiar selection rules in terms of the inter-Landau-level transitions.

• Bilayer Graphene
• Chiral Electron States in Graphene
• Electron-hole Excitations in Graphene
• Electronic Structure of Bilayer Graphene
• Graphene Interlayer Asymmetry
• Graphene Spectroscopy
• Graphene Tight-binding
• Studying BLG

• , Department of Physics, Lancaster University, Lancaster, United Kingdom

  Marcin Mucha-Kruczyński

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