Pressure-induced diamond to β -tin transition in bulk silicon: A quantum Monte Carlo study

Purwanto, Wirawan; Krakauer, Henry; Zhang, Shiwei

doi:10.1103/physrevb.80.214116

Pressure-induced diamond to $β$ -tin transition in bulk silicon: A quantum Monte Carlo study

Journal Article · Tue Dec 01 04:00:00 EST 2009 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/physrevb.80.214116· OSTI ID:1564711

Purwanto, Wirawan; Krakauer, Henry; Zhang, Shiwei

The pressure-induced structural phase transition from diamond to beta tin in silicon is an excellent test for theoretical total-energy methods. The transition pressure provides a sensitive measure of small relative energy changes between the two phases (one a semiconductor and the other a semimetal). Experimentally, the transition pressure is well characterized. Density-functional results exhibit sensitivity to the particular form of the exchange-correlation functional. Even the generally much more accurate diffusion Monte Carlo method has shown a noticeable fixed-node error. We use the recently developed phaseless auxiliary-field quantum Monte Carlo (AFQMC) method to calculate the relative energy differences in the two phases. In this method, all but the error due to the phaseless constraint can be controlled systematically and driven to zero. In both structural phases we were able to benchmark the error of the phaseless constraint by carrying out exact unconstrained AFQMC calculations for small supercells. Comparison between the two shows that the systematic error in the absolute total energies due to the phaseless constraint is well within 0.5mEh/atom . Consistent with these internal benchmarks, the transition pressure obtained by the phaseless AFQMC from large supercells is in very good agreement with experiment.

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF), Oak Ridge, TN (United States); College of William and Mary, Williamsburg, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-07ER46366; FG05-08OR23340

OSTI ID:: 1564711

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 21 Vol. 80; ISSN 1098-0121; ISSN PRBMDO

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

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