Minimum principles and level splitting in quantum Monte Carlo excitation energies: Application to diamond

被引:37
作者
Towler, MD [1 ]
Hood, RQ [1 ]
Needs, RJ [1 ]
机构
[1] Univ Cambridge, Cavendish Lab, Cambridge CB3 0HE, England
来源
PHYSICAL REVIEW B | 2000年 / 62卷 / 04期
关键词
D O I
10.1103/PhysRevB.62.2330
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A diffusion and variational quantum Monte Carlo (DMC and VMC) study of excitation energies in diamond is reported. Good agreement is found between the DMC results and results from the GW approximation and, where available, with experiment. A group theoretical analysis is provided of the level splittings arising from the use of arbitrary degenerate single-particle orbitals in the construction of ground- and excited-state determinants. The results an discussed in light of the recently demonstrated variational theorems for excited states in the DMC: study.
引用
收藏
页码:2330 / 2337
页数:8
相关论文
共 24 条
[1]   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
[2]   Theory of Brilloum zones and symmetry properties of wave functions in crystals [J].
Bouckaert, LP ;
Smoluchowski, R ;
Wigner, E .
PHYSICAL REVIEW, 1936, 50 (01) :58-67
[3]   MONTE-CARLO SIMULATION OF A MANY-FERMION STUDY [J].
CEPERLEY, D ;
CHESTER, GV ;
KALOS, MH .
PHYSICAL REVIEW B, 1977, 16 (07) :3081-3099
[4]   GROUND-STATE OF THE ELECTRON-GAS BY A STOCHASTIC METHOD [J].
CEPERLEY, DM ;
ALDER, BJ .
PHYSICAL REVIEW LETTERS, 1980, 45 (07) :566-569
[5]  
CEPERLEY DM, 1979, MONTE CARLO METHODS
[6]  
CORNWELL JF, 1994, GROUP THEORY PHYSICS, V1
[7]  
DOVESI R, 1996, CRYSTAL95 USER MANUA
[8]   Symmetry constraints and variational principles in diffusion quantum Monte Carlo calculations of excited-state energies [J].
Foulkes, WMC ;
Hood, RQ ;
Needs, RJ .
PHYSICAL REVIEW B, 1999, 60 (07) :4558-4570
[9]   QUANTUM MONTE-CARLO APPROACH TO ELECTRONICALLY EXCITED MOLECULES [J].
GRIMES, RM ;
HAMMOND, BL ;
REYNOLDS, PJ ;
LESTER, WA .
JOURNAL OF CHEMICAL PHYSICS, 1986, 85 (08) :4749-4750
[10]   SPIN-ORBIT-SPLITTING IN SEMICONDUCTORS AND INSULATORS FROM THE ABINITIO PSEUDOPOTENTIAL [J].
HYBERTSEN, MS ;
LOUIE, SG .
PHYSICAL REVIEW B, 1986, 34 (04) :2920-2922