A Two-dimensional Infinte System Density Matrix Renormalization Group Algorithm

Details A Two-dimensional Infinte System Density Matrix Renormalization Group Algorithm A Two-dimensional Infinte System Density Matrix Renormalization Group Algorithm

1999-02-19

arxiv.org/abs/cond-mat/9902279v1

Physics

Condensed Matter

5 pages, 6 figures

Scientific paper

10.1103/PhysRevB.60.9561

It has proved difficult to extend the density matrix renormalization group technique to large two-dimensional systems. In this Communication I present a novel approach where the calculation is done directly in two dimensions. This makes it possible to use an infinite system method, and for the first time the fixed point in two dimensions is studied. By analyzing several related blocking schemes I find that there exists an algorithm for which the local energy decreases monotonically as the system size increases, thereby showing the potential feasibility of this method.

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