Models of coherent exciton condensation

Abstract

That excitons in solids might condense into a phase-coherent ground state was proposed about 40 years ago, and has been attracting experimental and theoretical attention ever since. Although experimental confirmation has been hard to come by, the concepts released by this phenomenon have been widely influential. This tutorial review discusses general aspects of the theory of exciton and polariton condensates, focussing on the reasons for coherence in the ground state wavefunction, the BCS to Bose crossover(s) for excitons and for polaritons, and the relationship of the coherent condensates to standard lasers.

arXiv comment27 pages, 6 figures. Submitted for a special issue of J. Phys. Cond. Matt. associated with the EU network "Photon-mediated phenomena in semiconductor nanostructures"

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Cited by in corpus (56)

• Quantum phase transitions of light
• Evidence of high-temperature exciton condensation in 2D atomic double layers
• High-temperature superfluidity with indirect excitons in van der Waals heterostructures
• Quantum Hall Drag of Exciton Superfluid in Graphene
• Quantum Degenerate Exciton-Polaritons in Thermal Equilibrium
• Spatial Coherence of a Polariton Condensate
• Collective coherence in planar semiconductor microcavities
• On the possibility of an excitonic insulator at the semiconductor-semimetal transition
• BCS-BEC crossover in a system of microcavity polaritons
• Zero Dimensional Polariton Laser in a Sub-Wavelength Grating Based Vertical Microcavity
• Crossover between Strongly-coupled and Weakly-coupled Exciton Superfluids
• Coherence Length of Cold Exciton Gases in Coupled Quantum Wells
• Spectral signatures of the BCS-BEC crossover in the excitonic insulator phase of the extended Falicov-Kimball model
• Cooper pairing of electrons and holes in graphene bilayer: Correlation effects
• Mean field theory and fluctuation spectrum of a pumped, decaying Bose-Fermi system across the quantum condensation transition
• Berry Phase Effect on Exciton Transport and Bose Einstein Condensate
• Effects of density imbalance on the BCS-BEC crossover in semiconductor electron-hole bilayers
• Compensated electron and hole pockets in an underdoped high Tc superconductor
• Superconductivity-induced optical anomaly in an iron arsenide
• Conventional character of the BCS-BEC cross-over in ultra-cold gases of 40K
• Fate of the excitonic insulator in the presence of phonons
• Exact-diagonalization study of exciton condensation in electron bilayers
• Polaritons and Pairing Phenomena in Bose--Hubbard Mixtures
• Atypical BCS-BEC crossover induced by quantum-size effects
• Bulk Photovoltaic Effect Driven by Collective Excitations in a Correlated Insulator
• Excitonic resonances in the 2D extended Falicov-Kimball model
• Bose--Hubbard Models Coupled to Cavity Light Fields
• Slave-boson field fluctuation approach to the extended Falicov-Kimball model: charge, orbital, and excitonic susceptibilities
• Numerical time propagation of quantum systems in radiation fields
• Excitonic BCS-BEC crossover at finite temperature: Effects of repulsion and electron-hole mass difference
• A New Era of Excitonic Insulators
• Generating Functional Approach for Spontaneous Coherence in Semiconductor Electron-Hole-Photon Systems
• Polariton Laser in the Bardeen-Cooper-Schrieffer Regime
• Low-energy excitation spectra in the excitonic phase of cobalt oxides
• Observation of Preformed Electron-Hole Cooper Pairs
• Condensation of electron-hole pairs in a degenerate semiconductor at room temperature
• Fermions in optical lattices near a Feshbach resonance: from band insulator to Mott insulator
• Ground-state and spectral signatures of cavity exciton-polariton condensates
• Projector-based renormalization approach to electron-hole-photon systems in nonequlibrium steady-state
• Finite-temperature photoemission in the extended Falicov-Kimball model: a case study for Ta${}_2$NiSe${}_5$
• Electrical Breakdown of Excitonic Insulator
• Third-harmonic generation in excitonic insulators
• Spontaneous interlayer exciton coherence in quantum Hall bilayers at nu=1 and nu=2: a tutorial
• Coherent exciton transport in semiconductors
• Lee-Yang cluster expansion approach to the BCS-BEC crossover: BCS and BEC limits
• Electrical Control of Two-Dimensional Electron-Hole Fluids in the Quantum Hall Regime
• Experimental evidences of quantum confined 2D indirect excitons in single barrier GaAs/AlAs/GaAs heterostructure using photocapacitance at room temperature
• Interlayer excitonic insulator in two-dimensional double-layer semiconductor junctions: An explicitly solvable model
• Dipolar polaritons squeezed at unitarity
• DMRG study of exciton condensation in the extended Falicov-Kimball model
• Quantum Oscillation in Excitonic Insulating Electron-Hole Bilayer
• Combined effects of local and nonlocal hybridization on formation and condensation of excitons in the extended Falicov-Kimball model
• Exciton formation in strongly correlated electron-hole systems near the semimetal-semiconductor transition
• Excitonic gap formation in neutral bilayer structures
• Antiparticle of exciton in semimetals
• Inhomogeneous Evolution of a Dense Ensemble of Optically Pumped Excitons to a Charge Transfer State