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We discuss techniques of the density matrix renormalization group and their application to interacting fermion systems in more than one dimension. We show numerical results for equalâ€“time spinâ€“spinâ€¦ (More)

- S. Manmana, Stefan Wessel, Reinhard M Noack, Alejandro Muramatsu
- Physical review letters
- 2007

Using the adaptive time-dependent density-matrix renormalization group method, we study the time evolution of strongly correlated spinless fermions on a one-dimensional lattice after a sudden changeâ€¦ (More)

The level of current understanding of the physics of time-de pendent strongly correlated quantum systems is far from complete, principally due to the lack of effective controlled approaches.â€¦ (More)

- Bo-Xiao Zheng, Chia-Min Chung, +7 authors Garnet Kin-Lic Chan
- Science
- 2017

Competing inhomogeneous orders are a central feature of correlated electron materials, including the high-temperature superconductors. The two-dimensional Hubbard model serves as the canonicalâ€¦ (More)

- C Aebischer, Dionys Baeriswyl, Reinhard M Noack
- Physical review letters
- 2001

We study the Mott transition as a function of interaction strength in the half-filled Hubbard chain with next-nearest-neighbor hopping t' by calculating the response to an external electric fieldâ€¦ (More)

The properties of the twoâ€“chain Hubbard Model doped away from halfâ€“filling are investigated. The charge gap is found to vanish, but a finite spin gap exists over a range of interchain hoppingâ€¦ (More)

- Florian Gebhard, Eric Jeckelmann, Sandra Mahlert, Satoshi Nishimoto, Reinhard M Noack
- 2008

We calculate the zero-temperature self-energy to fourth-order perturbation theory in the Hubbard interaction U for the half-filled Hubbard model in infinite dimensions. For the Bethe lattice withâ€¦ (More)

- Ors Legeza, JenÅ‘ SÃ³lyom, L. Tincani, Reinhard M Noack
- Physical review letters
- 2007

We propose a new approach to study quantum phase transitions in low-dimensional fermionic or spin models that go from uniform to spatially inhomogeneous phases such as dimerized, trimerized, orâ€¦ (More)

- B Edegger, Hans Gerd Evertz, Reinhard M Noack
- Physical review letters
- 2006

We investigate weakly coupled quarter-filled ladders with model parameters relevant for NaV(2)O(5) using density-matrix renormalization group calculations on an extended Hubbard model coupled to theâ€¦ (More)