|
1
|
Kvaal S, Laestadius A, Tellgren E, Helgaker T. Lower Semicontinuity of the Universal Functional in Paramagnetic Current-Density Functional Theory. J Phys Chem Lett 2021; 12:1421-1425. [PMID: 33522817 PMCID: PMC7883387 DOI: 10.1021/acs.jpclett.0c03422] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/17/2020] [Accepted: 01/20/2021] [Indexed: 06/12/2023]
Abstract
A cornerstone of current-density functional theory (CDFT) in its paramagnetic formulation is proven. After a brief outline of the mathematical structure of CDFT, the lower semicontinuity and expectation-valuedness of the CDFT constrained-search functional is proven, meaning that there is always a minimizing density matrix in the CDFT constrained-search universal density functional. These results place the mathematical framework of CDFT on the same footing as that of standard DFT.
Collapse
|
|
2
|
Zhu W, Zhang L, Trickey SB. Random phase approximation with second-order screened exchange for current-carrying atomic states. J Chem Phys 2016; 145:224106. [DOI: 10.1063/1.4971377] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
Affiliation(s)
- Wuming Zhu
- Department of Physics, Hangzhou Normal University, 16 Xuelin Street, Hangzhou, Zhejiang 310036, China
| | - Liang Zhang
- Institute of Service Engineering, Hangzhou Normal University, 2318 Yuhangtang Road, Cangqian, Hangzhou, Zhejiang 311121, China
| | - S. B. Trickey
- Quantum Theory Project, Department of Physics and Department of Chemistry, University of Florida, P.O. Box 118435, Gainesville, Florida 32611-8435, USA
| |
Collapse
|
|
3
|
Furness JW, Verbeke J, Tellgren EI, Stopkowicz S, Ekström U, Helgaker T, Teale AM. Current Density Functional Theory Using Meta-Generalized Gradient Exchange-Correlation Functionals. J Chem Theory Comput 2015; 11:4169-81. [DOI: 10.1021/acs.jctc.5b00535] [Citation(s) in RCA: 47] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- James W. Furness
- School
of Chemistry, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom
| | - Joachim Verbeke
- School
of Chemistry, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom
| | - Erik I. Tellgren
- Centre
for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O.
Box 1033, Blindern, N-0315, Oslo, Norway
| | - Stella Stopkowicz
- Centre
for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O.
Box 1033, Blindern, N-0315, Oslo, Norway
| | - Ulf Ekström
- Centre
for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O.
Box 1033, Blindern, N-0315, Oslo, Norway
| | - Trygve Helgaker
- Centre
for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O.
Box 1033, Blindern, N-0315, Oslo, Norway
| | - Andrew M. Teale
- School
of Chemistry, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom
| |
Collapse
|
|
4
|
Ayers PW, Levy M. Tight constraints on the exchange-correlation potentials of degenerate states. J Chem Phys 2014; 140:18A537. [DOI: 10.1063/1.4871732] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023] Open
|
|
5
|
Tellgren EI, Teale AM, Furness JW, Lange KK, Ekström U, Helgaker T. Non-perturbative calculation of molecular magnetic properties within current-density functional theory. J Chem Phys 2014; 140:034101. [DOI: 10.1063/1.4861427] [Citation(s) in RCA: 51] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
|
|
6
|
Bates JE, Furche F. Harnessing the meta-generalized gradient approximation for time-dependent density functional theory. J Chem Phys 2012; 137:164105. [DOI: 10.1063/1.4759080] [Citation(s) in RCA: 83] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023] Open
|