Stripe formation in doped Hubbard ladders

Abstract

We investigate the formation of stripes in $7\chunks \times 6$ Hubbard ladders with $4\chunks$ 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 $7\chunks = 21$ 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.

6 pages, 6 Figures

References in corpus (12)

• Correlated Electrons in High Temperature Superconductors
• Superconductivity in the two-dimensional t-J model
• Energetics of Domain Walls in the 2D t-J model
• Hole and Pair Structures in the t-J model
• The N-chain Hubbard Model in Weak Coupling
• Ground-state phase diagram of a half-filled one-dimensional extended Hubbard model
• Stripes on a 6-Leg Hubbard Ladder
• Stripes and the t-J model
• Ground State Properties of the Doped 3-Leg t-J Ladder
• Parallelization Strategies for Density Matrix Renormalization Group Algorithms on Shared-Memory Systems
• Differences Between Hole and Electron Doping of a Two-Leg CuO Ladder
• Comment on ``Stripes and the t-J Model''

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