Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/9601047 · Physica C Superconductivity

The ground state of the two-leg Hubbard ladder a density-matrix renormalization group study

R.M. Noack, S.R. White, Douglas J. Scalapino

Published Oct 1, 1996• 107 citations
arXivHTMLPDF
DOI
10.1016/s0921-4534(96)00515-1

Related papers

Direct extension to n-leg models in the density-matrix renormalization group method: An approach on the ground state of two-dimensional triangular Hubbard model

Susumu Yamada, Masahiko Okumura, Masahiko Machida

Bulletin of the American Physical Society•Mar 10, 2008•0 citations

Current-current correlations in the three-band model for two-leg CuO ladders: Density-matrix renormalization group study

Satoshi Nishimoto, Eric Jeckelmann, Douglas J. Scalapino

We study current-current correlations in the three-band Hubbard model for two-leg CuO ladders using the density-matrix renormalization group method. We find that these correlations decrease exponentially with distance for low doping but as a power law for higher doping. Their pattern is compatible with the circulating current (CC) phase which Varma has proposed to explain the pseudogaped metallic phase in underdoped high-temperature superconductors. However, for model parameters leading to a realistic ground state in the undoped ladder, the current fluctuations decay faster than the $d$-wavelike pairing correlations in the hole-doped state, at least up to a doping of 10%. Thus we conclude that no phase with CC order or dominant CC fluctuations occur in the three-band model of two-leg CuO ladders at low doping.

Physical Review B•May 26, 2009•23 citations

Density matrix renormalization group study of Hubbard ladders

Yilin Zhao, Ling Wang, Gayanath Fernando

Bulletin of the American Physical Society•Mar 7, 2019•0 citations

Direct Extension of Density-Matrix Renormalization Group to Two-Dimensional Quantum Lattice Systems: Studies of Parallel Algorithm, Accuracy, and Performance

Susumu Yamada, Masahiko Okumura, Masahiko Machida

We parallelize the density-matrix renormalization group method to directly extend it to two-dimensional ( n -leg) quantum lattice models. The parallelization is performed mainly on the diagonalization for the superblock Hamiltonian since this step requires enormous memory space as the leg number n increases. The superblock Hamiltonian is divided into three parts, and the corresponding superblock vectors are transformed into matrices whose elements are uniformly distributed into processors. Parallel efficiency increases as the number of states kept, m , increases, and the obtained ground-state energy rapidly converges within a few sweeps. Furthermore, the present algorithm applied to doped 4-leg Hubbard ladders reaches their ground states, which satisfy the Lieb–Mattis theorem with m much smaller than those used in different indirect algorithms.

Journal of the Physical Society of Japan•Aug 28, 2009•17 citations

Density matrix renormalization group calculations for doped Hubbard ladders

Steven R. White, R. M. Noack, Douglas J. Scalapino

Journal of Low Temperature Physics•May 1, 1995•9 citations

Ground state phase diagram of the doped Hubbard model on a two-leg ladder

Cheng Peng, Yi‐Fan Jiang, Yuval Gannot +3 more

Bulletin of the American Physical Society•Mar 5, 2020•0 citations
We study current-current correlations in the three-band Hubbard model for two-leg CuO ladders using the density-matrix renormalization group method. We find that these correlations decrease exponentially with distance for low doping but as a power law for higher doping. Their pattern is compatible with the circulating current (CC) phase which Varma has proposed to explain the pseudogaped metallic phase in underdoped high-temperature superconductors. However, for model parameters leading to a realistic ground state in the undoped ladder, the current fluctuations decay faster than the ddd-wavelike pairing correlations in the hole-doped state, at least up to a doping of 10%. Thus we conclude that no phase with CC order or dominant CC fluctuations occur in the three-band model of two-leg CuO ladders at low doping.
We parallelize the density-matrix renormalization group method to directly extend it to two-dimensional ( n -leg) quantum lattice models. The parallelization is performed mainly on the diagonalization for the superblock Hamiltonian since this step requires enormous memory space as the leg number n increases. The superblock Hamiltonian is divided into three parts, and the corresponding superblock vectors are transformed into matrices whose elements are uniformly distributed into processors. Parallel efficiency increases as the number of states kept, m , increases, and the obtained ground-state energy rapidly converges within a few sweeps. Furthermore, the present algorithm applied to doped 4-leg Hubbard ladders reaches their ground states, which satisfy the Lieb–Mattis theorem with m much smaller than those used in different indirect algorithms.