Fig. 3: Spectral function in mixed dimensions.
From: Strong pairing in mixed-dimensional bilayer antiferromagnetic Mott insulators
a–c, Spectra for one hole (a) and two holes (b) in a ladder (d = 1) and two holes in a mixD bilayer (d = 2) (c). In a and b, we assumed that t∥/J⊥ = 3.4 and J∥/J⊥ = 0.31; and in c that t∥/J⊥ = 2 and J∥/J⊥ = 0.01. In our time-dependent DMRG (colour map) we added weak tunnelling t⊥/J⊥ = 0.01 to simplify convergence. The dashed lines in a and b correspond to eigen energies of the GSP model (Supplementary Information), where only states with even inversion symmetry are shown. The observed discrete spectral lines correspond to vibrational excitations of emerging spinon–chargon and chargon–chargon mesons in the system. The dashed lines in c describe GSP spectra broadened by the Fourier resolution of our time-dependent DMRG simulations (solid lines). Red (blue) lines correspond to momenta k = 0 (k = π).
