Thursday, July 4, 2013

1307.1002 (Brecht Verstichel et al.)

v2DM study of the 2D Hubbard model: Benchmark results with three-index
conditions and extended cluster constraints

Brecht Verstichel, Ward Poelmans, Stijn De Baerdmacker, Sebastian Wouters, Dimitri Van Neck
The reduced density matrix is variationally optimized for the two-dimensional Hubbard model. Exploiting all symmetries present in the system, we have been able to study $6\times6$ lattices at various fillings and different values for the on-site repulsion, using the highly accurate but computationally expensive three-index conditions. To reduce the computational cost we study the performance of imposing the three-index constraints on local clusters of $2\times2$ and $3\times3$ sites. We subsequently extend these constraints to incorporate the open-system nature of a cluster on a larger lattice. The feasibility of implementing these new constraints is demonstrated by performing a proof-of-principle calculation on the $6\times6$ lattice.
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