Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 80: Correlated Electrons: (General) Theory 2

TT 80.4: Vortrag

Donnerstag, 10. März 2016, 16:45–17:00, H18

Hybrid-Space Density Matrix Renormalization Group applied to the Two-Dimensional Hubbard Model — •Georg Ehlers and Reinhard M. Noack — Philipps-University Marburg

We apply the hybrid-space density matrix renormalization group (DMRG) to the two-dimensional Hubbard model on a cylinder surface. The hybrid-space DMRG uses a momentum-space representation in the transverse and a real-space representation in the longitudinal direction. Utilizing the transverse momentum quantum number allows us to gain significant speedup and memory savings compared to real-space DMRG. Especially, the computational costs of the hybrid-space DMRG are almost independent of the cylinder circumference for fixed size of the truncated Hilbert space. We investigate ground state properties such as the behavior of the ground-state energy, pair-field correlations, and the appearance of stripes at intermediate coupling and weak doping. We find striped ground states generically, with the width of the stripes depending on the filling, the boundary conditions, and the width of the cylinder. Furthermore, we analyze the interplay between the different stripe configurations and the decay of the pairing correlations.