Project Details
Projekt
Density Matrix Renormalization Group in Hybrid Momentum Space
Applicant
Professor Dr. Reinhard M. Noack
Subject Area
Theoretical Condensed Matter Physics
Term
from 2013 to 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 207383564
The objective of this project is to treat quantum lattice models in two and more dimensions within a hybrid momentum-space representation with the Density Matrix Renormalization Group (DMRG). In two dimensions, the hybrid momentum-space representation uses a momentum-space representation in the transverse direction and a real-space or other localized representation in the longitudinal direction, typically taking a cylinder geometry. Taking advantage of the transverse momentum-space quantum numbers will bring about a significant improvement in computational efficiency for two-dimensional systems and will allow finer-grained control of quantum numbers for states and observables. The initial area of application will be the two-dimensional Hubbard model, where the extensions of longer-range hopping and Coulomb repulsion will also be treated. Additional applications include multiple-band Hubbard models, frustrated spin models, interacting bosons, quantum Hall systems, and systems with topological phases.
DFG Programme
Research Units
