A density matrix renormalization group approach to interacting quantum systems on Cayley trees
Barry Friedman; Barry Friedman; Department of Physics, Sam Houston State University, Huntsville, TX 77341, USA and Department of Physics and Texas Center for Superconductivity, University of Houston, Houston, TX 77204-5504, USA
Журнал:
Journal of Physics: Condensed Matter
Дата:
1997-10-20
Аннотация:
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.
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