Abstract
We present a linear-scaling method for analytically calculating static and dynamic polarizabilities with Hartree-Fock and density functional theory, using Gaussian orbitals and periodic boundary conditions. Our approach uses the direct space fast multipole method to evaluate the long-range Coulomb contributions. For exact exchange, we use efficient screening techniques developed for energy calculations. We then demonstrate the capabilities of our approach with benchmark calculations on one-, two-, and three-dimensional systems.
References
72
Referenced
50
10.1103/PhysRevB.45.10876
/ Phys. Rev. B (1992)10.1002/qua.560420434
/ Int. J. Quantum Chem. (1992)10.1063/1.462337
/ J. Chem. Phys. (1992)10.1002/qua.560460102
/ Int. J. Quantum Chem. (1993)10.1016/0166-1280(89)85119-X
/ J. Mol. Struct.: THEOCHEM (1989)10.1063/1.1315999
/ J. Chem. Phys. (2000)10.1063/1.477995
/ J. Chem. Phys. (1999)10.1063/1.481907
/ J. Chem. Phys. (2000)10.1063/1.1356019
/ J. Chem. Phys. (2001)10.1039/a808605b
/ Phys. Chem. Chem. Phys. (1999)10.1063/1.1416175
/ J. Chem. Phys. (2001)10.1063/1.2149850
/ J. Chem. Phys. (2006)10.1103/PhysRevB.72.033402
/ Phys. Rev. B (2005){'key': '2023080310104031700_c14', 'first-page': '12860', 'volume': '110', 'year': '2006', 'journal-title': 'J. Phys. Chem. B'}
/ J. Phys. Chem. B (2006)10.1063/1.1353585
/ J. Chem. Phys. (2001)10.1063/1.477922
/ J. Chem. Phys. (1998)10.1063/1.1771639
/ J. Chem. Phys. (2004)10.1103/PhysRevB.68.153105
/ Phys. Rev. B (2003)10.1016/0301-0104(90)87055-G
/ Chem. Phys. (1990)10.1016/S0009-2614(97)00402-8
/ Chem. Phys. Lett. (1997)10.1063/1.461995
/ J. Chem. Phys. (1991)10.1063/1.465370
/ J. Chem. Phys. (1993)10.1063/1.1318745
/ J. Chem. Phys. (2000)10.1063/1.451255
/ J. Chem. Phys. (1986)10.1002/jcc.540120409
/ J. Comput. Chem. (1991)10.1063/1.1871934
/ J. Chem. Phys. (2005)10.1103/PhysRevB.61.16440
/ Phys. Rev. B (2000)10.1063/1.2347713
/ J. Chem. Phys. (2006)10.1016/S0081-1947(08)60459-2
/ Solid State Phys. (1962){'volume-title': 'Quantentheorie der Festkorper', 'year': '1970', 'key': '2023080310104031700_c30'}
/ Quantentheorie der Festkorper (1970)10.1063/1.480443
/ J. Chem. Phys. (1999){'key': '2023080310104031700_c32', 'first-page': '8', 'volume': '230', 'year': '1994', 'journal-title': 'J. Chem. Phys.'}
/ J. Chem. Phys. (1994){'key': '2023080310104031700_c33', 'first-page': '225', 'volume': 'S13', 'year': '1979', 'journal-title': 'Int. J. Quantum Chem.'}
/ Int. J. Quantum Chem. (1979)10.1063/1.445372
/ J. Chem. Phys. (1983)10.1016/S0166-1280(98)00165-1
/ J. Mol. Struct. (1998)10.1016/0009-2614(80)80396-4
/ Chem. Phys. Lett. (1980)10.1002/jcc.540030413
/ J. Comput. Chem. (1982)10.1016/0009-2614(86)80461-4
/ Chem. Phys. Lett. (1986)10.1063/1.1470195
/ J. Chem. Phys. (2002)10.1021/jp990629s
/ J. Phys. Chem. (1999)10.1063/1.468836
/ J. Chem. Phys. (1995)10.1016/S0009-2614(98)00468-0
/ Chem. Phys. Lett. (1998)10.1126/science.271.5245.51
/ Science (1996)10.1016/0009-2614(96)00175-3
/ Chem. Phys. Lett. (1996)10.1016/0009-2614(94)01128-1
/ Chem. Phys. Lett. (1994)10.1016/S0009-2614(97)01329-8
/ Chem. Phys. Lett. (1998)10.1063/1.474150
/ J. Chem. Phys. (1997)10.1063/1.472627
/ J. Chem. Phys. (1996)10.1103/PhysRev.135.A685
/ Phys. Rev. (1964)10.1016/0009-2614(81)85617-5
/ Chem. Phys. Lett. (1981)10.1103/PhysRevB.24.3015
/ Phys. Rev. B (1981)10.1002/qua.560560407
/ Int. J. Quantum Chem. (1995)10.1063/1.478256
/ J. Chem. Phys. (1999)10.1063/1.1414369
/ J. Chem. Phys. (2001)10.1063/1.472135
/ J. Chem. Phys. (1996)10.1063/1.476741
/ J. Chem. Phys. (1998)10.1063/1.473833
/ J. Chem. Phys. (1997)10.1063/1.479926
/ J. Chem. Phys. (1999)10.1063/1.1869470
/ J. Chem. Phys. (2005)10.1016/0009-2614(96)00600-8
/ Chem. Phys. Lett. (1996){'year': '2004', 'key': '2023080310104031700_c61'}
(2004)10.1063/1.1760074
/ J. Chem. Phys. (2004)10.1103/PhysRevLett.77.3865
/ Phys. Rev. Lett. (1996)10.1063/1.472933
/ J. Chem. Phys. (1996)10.1063/1.478401
/ J. Chem. Phys. (1999)10.1063/1.478522
/ J. Chem. Phys. (1999)10.1063/1.1564060
/ J. Chem. Phys. (2003){'volume-title': 'Semiconductors-Basic Data', 'year': '1996', 'key': '2023080310104031700_c68'}
/ Semiconductors-Basic Data (1996)10.1063/1.477731
/ J. Chem. Phys. (1998){'volume-title': 'Solid State Physics', 'year': '1976', 'key': '2023080310104031700_c70'}
/ Solid State Physics (1976)10.1002/jcc.540100111
/ J. Comput. Chem. (1989)10.1063/1.1760074
/ J. Chem. Phys. (2004)
Dates
Type | When |
---|---|
Created | 18 years, 8 months ago (Dec. 13, 2006, 10:42 a.m.) |
Deposited | 2 years ago (Aug. 3, 2023, 6:11 a.m.) |
Indexed | 4 weeks, 1 day ago (July 30, 2025, 6:48 a.m.) |
Issued | 18 years, 8 months ago (Dec. 12, 2006) |
Published | 18 years, 8 months ago (Dec. 12, 2006) |
Published Online | 18 years, 8 months ago (Dec. 12, 2006) |
Published Print | 18 years, 8 months ago (Dec. 14, 2006) |
@article{Izmaylov_2006, title={Linear-scaling calculation of static and dynamic polarizabilities in Hartree-Fock and density functional theory for periodic systems}, volume={125}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.2404667}, DOI={10.1063/1.2404667}, number={22}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Izmaylov, Artur F. and Brothers, Edward N. and Scuseria, Gustavo E.}, year={2006}, month=dec }