Physics – Condensed Matter
Scientific paper
1999-01-06
Physics
Condensed Matter
28 pages, REVTEX, 5 ps figures
Scientific paper
10.1103/PhysRevB.59.12788
We report several important observations that underscore the distinctions between the constrained-path Monte Carlo method and the continuum and lattice versions of the fixed-node method. The main distinctions stem from the differences in the state space in which the random walk occurs and in the manner in which the random walkers are constrained. One consequence is that in the constrained-path method the so-called mixed estimator for the energy is not an upper bound to the exact energy, as previously claimed. Several ways of producing an energy upper bound are given, and relevant methodological aspects are illustrated with simple examples.
Carlson Jack
Gubernatis James E.
Ortiz Gerardo
Zhang Sheng
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