Extended Data Fig. 8: Finite-temperature DMRG.
From: Formation of individual stripes in a mixed-dimensional cold-atom Fermi–Hubbard system
a, DMRG calculations for a Lx × Ly = 8 × 4 system with periodic boundaries along the short direction, temperature kBT/tx ≈ 0.4 and Hamiltonian parameters as in the experimental setup. Shown are the on-site hole density distributions in each leg, \(\langle {\widehat{n}}_{{\bf{i}}}^{{\rm{h}}}\rangle \) (grey lines), as well as spin–spin correlations \(\langle {\widehat{S}}_{{{\bf{i}}}_{0}}^{z}{\widehat{S}}_{{\bf{j}}}^{z}\rangle \) (colour-coded) for reference site i0 = [x = 3, y = 2] (white box). At the maximum hole density distribution in the centre of the chain, a ___domain wall of the AFM background forms, that is, a single stripe is observed. b, Hole density for Ly = 3, δ = 0.25, kBT/tx = 0.41. Two separate stripes form at this doping level. c, Hole–hole correlations versus distance, reminiscent of the structure shown in Fig. 2a. d, Hole correlations as a function of temperature for dy = 1 (red) and dy = 2 (blue), δ = 0.125 (dashed lines) and δ = 0.25 (solid lines).
