Drude weight, cyclotron resonance, and the Dicke model of graphene cavity QED
arXiv:1207.6924 · doi:10.1103/PhysRevLett.109.267404
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.
arXiv comment5 pages, 1 figure
References in corpus (20)
- Two Dimensional Atomic Crystals
- Graphene Photonics and Optoelectronics
- Graphene plasmonics
- Graphene plasmonics: A platform for strong light-matter interaction
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- Colloquium: The transport properties of graphene: An introduction
- Electronic Properties of Graphene in a Strong Magnetic Field
- Microcavity-integrated graphene photodetector
- Ultrastrong coupling of the cyclotron transition of a two-dimensional electron gas to a THz metamaterial
- Cavity QED with a Bose-Einstein condensate
- Light-matter interaction in a microcavity-controlled graphene transistor
- Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
- Superradiant Phase Transitions and the Standard Description of Circuit QED
- Nonequilibrium Quantum Phase Transitions in the Dicke Model
- Collective Dynamics of Bose--Einstein Condensates in Optical Cavities
- Drude weight, plasmon dispersion, and a.c. conductivity in doped graphene sheets
- Ultrastrong coupling between a cavity resonator and the cyclotron transition of a 2D electron gas in the case of integer filling factor
- Vacuum degeneracy of a circuit-QED system in the ultrastrong coupling regime
- Cavity QED of the graphene cyclotron transition
- Theory of the Pseudospin Resonance in Semiconductor Bilayers
Cited by in corpus (42)
- Ultrastrong coupling between light and matter
- Ultrastrong coupling regimes of light-matter interaction
- High-power collective charging of a solid-state quantum battery
- Ultrastrong Coupling in the Near-field of Complementary Split Ring Resonators
- Quantum Electrodynamic Control of Matter: Cavity-Enhanced Ferroelectric Phase Transition
- Dicke Superradiance in Solids
- Cavity QED of Strongly Correlated Electron Systems: A No-go Theorem for Photon Condensation
- Excited-State Quantum Phase Transitions in Dicke Superradiance Models
- Theory of Photon Condensation in a Spatially-Varying Electromagnetic Field
- Dissipation-induced anomalous multicritical phenomena
- All-optical band engineering of gapped Dirac materials
- Cavity Quantum Electrodynamics at Arbitrary Light-Matter Coupling Strengths
- Superradiant phase transition in electronic systems and emergent topological phases
- The Free Electron Gas in Cavity Quantum Electrodynamics
- Rashba cavity QED: a route towards the superradiant quantum phase transition
- Theory of third harmonic generation in graphene: a diagrammatic approach
- Landau polaritons in highly non-parabolic 2D gases in the ultra-strong coupling regime
- Stability of polarizable materials against superradiant phase transition
- Dicke simulators with emergent collective quantum computational abilities
- Photon Condensation and Enhanced Magnetism in Cavity QED
- Quantum supercapacitors
- A non-perturbative no-go theorem for photon condensation in approximate models
- Signatures of the term in ultrastrongly-coupled oscillators
- Probing the diamagnetic term in light-matter interaction
- Light-induced fractional quantum Hall phases in graphene
- Theory of integer quantum Hall polaritons in graphene
- Cavity Induced Collective Behavior in the Polaritonic Ground State
- Strong coupling of the cyclotron motion of surface electrons on liquid helium to a microwave cavity
- Photon condensation, Van Vleck paramagnetism, and chiral cavities
- Modulated phases of graphene quantum Hall polariton fluids
- Perspectives for gapped bilayer graphene polaritonics
- High-Order Multipole Radiation from Quantum Hall States in Dirac Materials
- Strong coupling of two-dimensional electron ensemble to a single-mode cavity resonator
- Superradiant Quantum Phase transition for Landau Polaritons with Rashba and Zeeman couplings
- Critical phenomena in light-matter systems with collective matter interactions
- Universality class and exact phase boundary in the superradiant phase transition
- Quantum Electrodynamics of graphene Landau levels in a deep-subwavelength hyperbolic phonon polariton cavity
- Magnonic Superradiant Phase Transition
- Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding, and Majorana-Schrödinger Cat States
- Collective modes for helical edge state interacting with quantum light
- Gate-tunable single terahertz meta-atom ultrastrong light-matter coupling
- Nonlinear Terahertz Electroluminescence from Dirac Landau Polaritons