Monte Carlo Renormalization Group Study of the d=1 XXZ Model

Details Monte Carlo Renormalization Group Study of the d=1 XXZ Model Monte Carlo Renormalization Group Study of the d=1 XXZ Model

1993-09-28

arxiv.org/abs/cond-mat/9309047v1

Quantum Monte Carlo Methods in Condensed Matter Physics, ed. M. Suzuki, World Scientific, 1993, p. 49

Physics

Condensed Matter

To appear in "Quantum Monte Carlo Methods in Condensed Matter Physics", ed.\ M. Suzuki, World Scientific, 1993. 14 pages, LaTe

Scientific paper

We report current progress on the synthesis of methods to alleviate two major difficulties in implementing a Monte Carlo Renormalization Group (MCRG) for quantum systems. In particular, we have utilized the loop-algorithm to reduce critical slowing down, and we have implemented an MCRG method in which the symmetries of the classical equivalent model need not be fully understood, since the Renormalization Group is given by the Monte Carlo simulation. We report preliminary results obtained when the resulting MCRG method is applied to the d=1 XXZ model. Our results are encouraging. However, since this model has a Kosterlitz-Thouless transition, it does not yet provide a full test of our MCRG method.

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