Dresden 2017 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 50: Correlated Electrons: Frustrated Magnets - Low-Dimensional Systems
TT 50.7: Vortrag
Mittwoch, 22. März 2017, 16:45–17:00, HSZ 304
DMRG simulations of SU(N) Heisenberg models using a million of states — •Andreas Weichselbaum1, Sylvain Capponi2, Andreas Läuchli3, Alexei Tsvelik4, and Philippe Lecheminant5 — 1Ludwig Maximilians University, Munich, Germany — 2CNRS Toulouse, Université Paul Sabatier, France — 3University of Innsbruck, Austria — 4Brookhaven National Laboratory, Upton, NY, USA — 5Université de Cergy Pontoise, France
The density matrix renormalization group (DMRG) is applied to SU(N) symmetric Heisenberg chains and ladders while fully exploiting the underlying SU(N) symmetry. Since these models can be motivated from symmetric N-band fermionic models, it is immediately clear that the numerical complexity of simulating SU(N) symmetric models grows exponentially in N. Nevertheless in the presence of symmetry this exponential growth is largely transferred to the symmetry multiplets in that the largest multiplets that appear in a typical simulation grow exponentially in size like 10N−1. Therefore while keeping a moderate number of multiplets, the full state space dimension required for converged results can quickly reach a million of states. Recent results on Heisenberg ladders with N ≤ 5 and varying rung coupling are discussed and contrasted to existing literature.