A density matrix renormalization group approach to interacting quantum systems on Cayley trees
- 20 October 1997
- journal article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 9 (42) , 9021-9029
- https://doi.org/10.1088/0953-8984/9/42/016
Abstract
I have examined the nearest-neighbour quantum Heisenberg model on a Cayley tree using a simple density matrix renormalization group scheme. For spin 1/2 on a three-legged Bethe lattice I find indications of long-range antiferromagnetic order in agreement with the spin wave result. Preliminary calculations using a more complicated density matrix renormalization group scheme give promise that one can treat interacting quantum systems on Cayley trees very accurately.Keywords
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