Fig. 3: Temperature and doping dependence of hole pairing.
From: Magnetically mediated hole pairing in fermionic ladders of ultracold atoms
a, Rung hole–hole correlation \({g}_{{\rm{h}}}^{(2)}(0,1)\) for the mixD (blue) and standard (brown) ladders binned by the rung spin correlations C(0, 1) of the system. The temperature of the mixD system (top axis) is estimated by comparing the spin correlations (lower axis) with the theoretical values. The solid line is calculated using MPS and is corrected by the experimental detection fidelity. We see unbinding of pairs at low singlet strength, that is, high temperature. b, The hole correlator scaled with the hole density \({g}_{{\rm{h}}}^{(2)}(0,1)\,{n}_{{\rm{h}}}\) depending on the number of holes per leg for the mixD (blue) and standard (brown) ladders. Within our error bars, we find the hole binding to be independent of doping. The inset shows the correlator \({g}_{{\rm{h}}}^{(2)}(0,1)\), where the dashed line is a fit with the inherent 1/nh scaling of the correlator. Error bars denote the bin width of the spin correlations (a) and the s.e.m. of the correlator (a and b).
