# Siam Physics Congress 2015

20-22 May 2015
Asia/Bangkok timezone
The Centennial Celebration of General Relativity Theory and 80 Years of Thai Physics Graduate

## A Second-Quantization Approach to the Analytical Faraday Effect in Graphene

21 May 2015, 08:00
3h
Board: CON-12
Poster presentation Condensed Matter Physics

### Speaker

Mr Phusit Nualpijit (Department of Physics, Faculty of Science, Kasetsart University, Bangkok, THAILAND 10900)

### Description

We investigate coherent single photon traveling in the positive $z$ direction passes through a graphene film subjected to a transverse magnetic field $B$. Analytical expressions are obtained for the transmission and reflection coefficients by full second-quantized form. Giant Faraday rotations in the infrared regime are generated and measurable Faraday rotation angles in the visible range become possible. For an example, this explains the departure from the semiclassical value for $\theta_F$ observed in the right panel in $B\approx$ 1 T for $\hbar \omega =$ 10 meV ($B\approx$ 0.5 T for $\hbar \omega =$ 30 meV). If the magnetic field intensity is higher than a given value, we necessarily have $N_F =$ 0 (for 0.05 eV this value is about 1.9 T). In this case, the Hall conductivity at $T =$ 0 is fully determined by a single type of interband transition, and assuming $E_1 (B) \gg \hbar\omega$, we obtain $\theta_F\approx$ 3 $\times$ 10$^{−4}$.

### Primary author

Mr Phusit Nualpijit (Department of Physics, Faculty of Science, Kasetsart University, Bangkok, THAILAND 10900)

### Co-author

Mr Sooty ฺBoonchui (Department of Physics, Faculty of Science, Kasetsart University, Bangkok, THAILAND 10900)

### Presentation Materials

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