Stripe Formation and Superfluiditiy Correlation on Two-dimensional Optical Lattice: DMRG Studies for
n-leg repulsive Hubbard model
We investigate the formation of stripes in $7r\ifmmode\times\else\texttimes\fi{}6$ Hubbard ladders with
4r holes doped away from half filling using the density-matrix renormalization group (DMRG) method. A parallelized code allows us to keep enough density-matrix eigenstates (up to
m=8000) and to study sufficiently large systems (with up to
7r=21 rungs) to extrapolate the stripe amplitude to the limits of vanishing DMRG truncation error and infinitely long ladders. Our work gives strong evidence that stripes exist in the ground state for strong coupling
(U=12t) but that the structures found in the hole density at weaker coupling
(U=3t) are an artifact of the DMRG approach.