Drude weight, cyclotron resonance, and the Dicke model of graphene cavity QED

Abstract

The Dicke model of cavity quantum electrodynamics is approximately realized in condensed matter when the cyclotron transition of a two-dimensional electron gas is nearly resonant with a cavity photon mode. We point out that in the strong coupling limit the Dicke model of cavity cyclotron resonance must be supplemented by a term that is quadratic in the cavity photon field and suppresses the model's transition to a super-radiant state. We develop the theory of graphene cavity cyclotron resonance and show that the quadratic term, which is absent in graphene's low-energy Dirac model Hamiltonian, is in this case dynamically generated by virtual inter-band transitions.

5 pages, 1 figure

References in corpus (8)

• Two Dimensional Atomic Crystals
• Graphene plasmonics
• Colloquium: The transport properties of graphene: An introduction
• Cavity QED with a Bose-Einstein condensate
• Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
• Collective Dynamics of Bose--Einstein Condensates in Optical Cavities
• Drude weight, plasmon dispersion, and a.c. conductivity in doped graphene sheets
• Theory of the Pseudospin Resonance in Semiconductor Bilayers

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