Using the density-matrix renormalization-group (DMRG) method we study a two-channel Kondo lattice model on a half-filled ladder. Our model involves an on-site s-wave and a nearest neighbor d-wave coupling between the local moments and the conduction electrons on the ladder. By changing the relative strength of the two Kondo interactions we examine the evolution of the system from a conventional Kondo insulator with a singlet at each site to a special kind of semimetallic state formed by overlapping of Zhang-Rice-like singlets. The DMRG is used to study how the spin and charge correlation functions evolve between these two regimes.Using the density-matrix renormalization-group (DMRG) method we study a two-channel Kondo lattice model on a half-filled ladder. Our model involves an on-site s-wave and a nearest neighbor d-wave coupling between the local moments and the conduction electrons on the ladder. By changing the relative strength of the two Kondo interactions we examine the evolution of the system from a conventional Kondo insulator with a singlet at each site to a special kind of semimetallic state formed by overlapping of Zhang-Rice-like singlets. The DMRG is used to study how the spin and charge correlation functions evolve between these two regimes.

arXiv:cond-mat/0011348Physical review. B, Condensed matterAug 8, 20019 citations

Stripe formation in doped Hubbard ladders

Georg Hager, Gerhard Wellein, Eric Jeckelmann +1 more

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.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.

arXiv:cond-mat/0409321Physical Review BFeb 10, 200586 citations

The Density Matrix Renormalization Group and its time-dependent variants

Adrian E. Feiguin, Adolfo Avella, Ferdinando Mancini

AIP conference proceedingsJan 1, 201126 citations

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.