Berlin 2018 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
TT: Fachverband Tiefe Temperaturen
TT 72: Poster Session: Correlated Electrons
TT 72.86: Poster
Mittwoch, 14. März 2018, 15:00–19:00, Poster B
Anisotropy crossover in the frustrated Hubbard model on four-chain cylinders — •Georg Ehlers1, Benjamin Lenz2,3, Salvatore R. Manmana3, and Reinhard M. Noack1 — 1Fachbereich Physik, Philipps-Universität Marburg, 35032 Marburg, Germany — 2Centre de Physique Théorique, Ecole Polytechnique, CNRS UMR 7644, 91128 Palaiseau, France — 3Institut für Theoretische Physik, Universität Göttingen, 37077 Göttingen, Germany
Motivated by dimensional crossover in Bechgaard and layered organic κ salts, we investigate the metal-insulator transition in the anisotropic frustrated Hubbard model on four coupled Hubbard chains.
Using the hybrid-space density matrix renormalization group (DMRG) and the variational cluster approximation (VCA), we map out the phase diagram as a function of the anisotropy and interaction strength. The phase diagram, as seen by the hybrid-space DMRG, features a quasi-one-dimensional anti-ferromagnetic phase, a two dimensional anti-ferromagnetic phase, a metallic phase, and an incommensurate spin-density wave phase [1]. The phases are characterized through their magnetic ordering, dielectric response, and dominant static correlations.
We use DMRG in a formulation for lattices with cylindrical geometry utilizing the conserved transverse lattice momentum [2] and corroborate our findings with VCA calculations using a cluster geometry corresponding to the cylindrical lattice. As an outlook, we make contact with work studying dimensional crossover in the full two-dimensional system.
G. Ehlers et al., arXiv:1705.04450 (2017)
G. Ehlers et al., Phys. Rev. B 95, 125125 (2017)