Computer Simulation Studies in Condensed-Matter Physics XII: by D. P. Landau, S. P. Lewis, H.-B. Schüttler

By D. P. Landau, S. P. Lewis, H.-B. Schüttler

This quantity is a standing record in line with the displays and discussions that came about in the course of the twelfth Annual Workshop on machine Simulation reports in Condensed subject Physics on the middle for Simulation Physics on the collage of Georgia in March 1999. It offers a large assessment of the latest advancements within the box, spanning quite a lot of topical parts in simulational condensed subject physics. those components comprise contemporary advancements in simulations of classical statistical mechanics versions, digital constitution calculations, quantum Monte Carlo simulations and simulations of polymers. New actual effects and novel simulation and information research equipment are presented.

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Additional resources for Computer Simulation Studies in Condensed-Matter Physics XII: Proceedings of the Twelfth Workshop, Athens, GA, USA, March 8–12, 1999

Example text

In what follows, we first describe the new finite-temperature method in Sec. 2. In Quantum simulations of Strongly Correlated Electron Systems 39 Sec. 3, we review their applications to the one-band Hubbard model, focusing on the study of dx 2_ y 2-wave electron pairing correlations. We then make some concluding remarks in Sec. 4. 1 New Quantum Monte Carlo Methods Finite-Temperature Method The new finite-temperature method[16] is free of any decay of the average sign, thus making possible calculations at lower temperatures and larger system sizes with favorable scaling.

Similar to the fixed-node approximation [21,22] in configuration space, the process of CPMC solves the Schroedinger Quantum simulations of Strongly Correlated Electron Systems 43 equation under some boundary condition defined by the trial wave function. But, differently from fixed-node, this boundary condition is not limited to real space, and can be a more "global" one. CPMC also retains (at least to a large degree) an important advantage of the auxiliary-field QMC formalism compared to continuum methods, namely the ability to compute easily many expectation values, including off-diagonal ones such as electron pairing correlations.

Electrons. At high temperatures, the new algorithm reproduces the results from the standard method of BSS, while at low temperatures it does not suffer from any decay of sign and smoothly extends to ground-state result from exact diagonalization. 0625). In Fig. 2, we show results for a 4 x 4, U = 4 system where the sign problem is the most severe. In the top figure (s) in BSS is shown for several values of T, directly measured in calculations at high temperatures and projected from the exponential decay rate[2] at low temperatures (f3 = 12 and 20).

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