Methods for calculating forces within quantum Monte Carlo simulations

被引:30
作者
Badinski, A. [1 ]
Haynes, P. D. [1 ,2 ]
Trail, J. R. [1 ,3 ]
Needs, R. J. [1 ]
机构
[1] Univ Cambridge, Cavendish Lab, Condensed Matter Theory Grp, Cambridge CB3 0HE, England
[2] Univ London Imperial Coll Sci Technol & Med, Dept Phys, London SW7 2AZ, England
[3] Japan Adv Inst Sci & Technol, Sch Informat Sci, Nomi, Ishikawa 9231292, Japan
基金
英国工程与自然科学研究理事会;
关键词
GROUND-STATE; DIPOLE-MOMENT; RANDOM-WALK; ALGORITHMS; PRINCIPLE; CHEMISTRY;
D O I
10.1088/0953-8984/22/7/074202
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Atomic force calculations within the variational and diffusion quantum Monte Carlo methods are described. The advantages of calculating diffusion quantum Monte Carlo forces with the 'pure' rather than the 'mixed' probability distribution are discussed. An accurate and practical method for calculating forces using the pure distribution is presented and tested for the SiH molecule. The statistics of force estimators are explored and violations of the central limit theorem are found in some cases.
引用
收藏
页数:8
相关论文
共 51 条
[1]   Quantum Monte Carlo calculations of the structural properties and the B1-B2 phase transition of MgO -: art. no. 014114 [J].
Alfè, D ;
Alfredsson, M ;
Brodholt, J ;
Gillan, MJ ;
Towler, MD ;
Needs, RJ .
PHYSICAL REVIEW B, 2005, 72 (01)
[2]   Schottky defect formation energy in MgO calculated by diffusion Monte Carlo -: art. no. 220101 [J].
Alfè, D ;
Gillan, MJ .
PHYSICAL REVIEW B, 2005, 71 (22)
[3]   QUANTUM CHEMISTRY BY RANDOM-WALK - H2P,H+3D3H1A'1,H-23-SIGMA+U,H-41-SIGMA+G,BE1S [J].
ANDERSON, JB .
JOURNAL OF CHEMICAL PHYSICS, 1976, 65 (10) :4121-4127
[4]   RANDOM-WALK SIMULATION OF SCHRODINGER EQUATION - H+3 [J].
ANDERSON, JB .
JOURNAL OF CHEMICAL PHYSICS, 1975, 63 (04) :1499-1503
[5]   Zero-variance principle for Monte Carlo algorithms [J].
Assaraf, R ;
Caffarel, M .
PHYSICAL REVIEW LETTERS, 1999, 83 (23) :4682-4685
[6]   Zero-variance zero-bias principle for observables in quantum Monte Carlo: Application to forces [J].
Assaraf, R ;
Caffarel, M .
JOURNAL OF CHEMICAL PHYSICS, 2003, 119 (20) :10536-10552
[7]  
ATTACCALITE C, 2008, PHYS REV LETT, V100
[8]   Accurate forces in quantum Monte Carlo calculations with nonlocal pseudopotentials [J].
Badinski, A. ;
Needs, R. J. .
PHYSICAL REVIEW E, 2007, 76 (03)
[9]   Total forces in the diffusion Monte Carlo method with nonlocal pseudopotentials [J].
Badinski, A. ;
Needs, R. J. .
PHYSICAL REVIEW B, 2008, 78 (03)
[10]   Nodal Pulay terms for accurate diffusion quantum Monte Carlo forces [J].
Badinski, A. ;
Haynes, P. D. ;
Needs, R. J. .
PHYSICAL REVIEW B, 2008, 77 (08)