Dynamics of a single exciton in strongly correlated bilayers

Abstract

We formulated an effective theory for a single interlayer exciton in a bilayer quantum antiferromagnet, in the limit that the holon and doublon are strongly bound onto one interlayer rung by the Coulomb force. Upon using a rung linear spin wave approximation of the bilayer Heisenberg model, we calculated the spectral function of the exciton for a wide range of the interlayer Heisenberg coupling α=J_{\perp}/Jz. In the disordered phase at large α, a coherent quasiparticle peak appears representing free motion of the exciton in a spin singlet background. In the Néel phase, which applies to more realistic model parameters, a ladder spectrum arises due to Ising confinement of the exciton. The exciton spectrum is visible in measurements of the dielectric function, such as c-axis optical conductivity measurements.

28 pages, 12 figures

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Cited by in corpus (7)

• Excitonic condensation in systems of strongly correlated electrons
• Mechanism of Ultrafast Relaxation of a Photo-Carrier in Antiferromagnetic Spin Background
• Exciton condensation in strongly correlated electron bilayers
• Dynamics of doublon-holon pairs in Hubbard two-leg ladders
• Enhancement of spin propagation due to interlayer exciton condensation
• Wave function and spatial structure of polarons in an antiferromagnetic bilayer
• Magnetic polarons due to spin-length fluctuations in ${\mathbf{d}}^4$ spin-orbit Mott systems