Two-dimensional infinite-system density-matrix renormalization-group algorithm
- 1 October 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 60 (13), 9561-9565
- https://doi.org/10.1103/physrevb.60.9561
Abstract
It has proved difficult to extend the density-matrix renormalization-group technique to large two-dimensional systems. I here present an approach where the calculation is done directly in two dimensions. This makes it possible to use an infinite-system method, and the fixed point in two dimensions is studied. By applying several related blocking schemes to the two-dimensional Heisenberg model I find that there exists an algorithm for which the energy per site decreases monotonically as the system size increases, thereby showing the potential feasibility of this method.Keywords
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