Fig. 2: Hole correlations beyond nearest neighbours. | Nature

Fig. 2: Hole correlations beyond nearest neighbours.

From: Formation of individual stripes in a mixed-dimensional cold-atom Fermi–Hubbard system

Fig. 2

a, Hole–hole correlations in a mixD system revealing bunching (attraction) along y at distances dy ≥ 1 and antibunching (repulsion) along x with δ = 0.18. The symmetrization is indicated by the dashed lines. b, A cut along y (x) is shown in dark (light) green for mixD systems, with the inset showing the equivalent data for standard 2d systems. c, The dependency of the mixD correlator \({g}_{{\rm{hh}}}^{(2)}\) at distance d = (0, 1), (1, 1), (0, 2), (0, 3) on doping is plotted in red, purple, blue and grey with a doping binning of  ±0.009. In a doping region around 0.2, the correlators for distances dy > 1 are positive, indicating longer range charge correlations. Error bars are estimated using bootstrapping. d, Results for the renormalized correlator (see Supplementary Information) from DMRG calculations for a system size Lx × Ly = 8 × 3 as a function of doping for kBT/tx = 0.41.

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