Analytic Energy Gradients for Variational Two-Electron Reduced-Density-Matrix-Driven Complete Active Space Self-Consistent Field Theory

2017 ◽  
Vol 13 (9) ◽  
pp. 4113-4122 ◽  
Author(s):  
Elvis Maradzike ◽  
Gergely Gidofalvi ◽  
Justin M. Turney ◽  
Henry F. Schaefer ◽  
A. Eugene DePrince
Keyword(s):  
Field Theory ◽  
Density Matrix ◽  
Reduced Density Matrix ◽  
Complete Active Space ◽  
Active Space ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Self Consistent Field Theory ◽  
Reduced Density

A Heterogeneous CPU + GPU Algorithm for Variational Two-Electron Reduced-Density Matrix Driven Complete Active Space Self-Consistent Field Theory

2019 ◽  
Author(s):  
J. Wayne Mullinax ◽  
Elvis Maradzike ◽  
Lauren N. Koulias ◽  
Mohammad Mostafanejad ◽  
Evgeny Epifanovsky ◽  
...  
Keyword(s):  
Density Matrix ◽  
Reduced Density Matrix ◽  
Complete Active Space ◽  
Active Space ◽  
Consistent Field ◽  
Singlet States ◽  
Unpaired Electron Density ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Reduced Density

<div><div><div><p>We present a heterogeneous CPU+GPU algorithm for the direct variational optimization of the two-electron reduced-density matrix (2RDM) under two-particle N-representability conditions. This variational 2RDM (v2RDM) approach is the driver for a polynomially-scaling approximation to configuration-interaction-driven complete active space self-consistent field (CASSCF) theory. For v2RDM-based CASSCF com- putations involving an active space consisting of 50 electrons in 50 orbitals [denoted (50e,50o)], we observe a speedup of a factor of 3.7 when the code is executed on a combination of an NVIDIA TITAN V GPU and an Intel Core i7-6850k CPU, relative to the case when the code is executed on the CPU alone. We use this GPU-accelerated v2RDM-CASSCF algorithm to explore the electronic structure of the 3,k-circumacene and 3,k-periacene series (k=2–7) and compare indicators of polyradical character in the lowest-energy singlet states to those observed for oligoacene molecules. The singlet states in larger circumacene and periacene molecules display the same polyradical characteristics observed in oligoacenes, with the onset of this behavior occuring at smallest k for periacenes, followed by the circumacenes and then the oligoacenes. However, the unpaired electron density that accumulates along the zig-zag edge of the circumacenes is slightly less than that which accumulates in the oligoacenes, while periacenes clearly exhibit the greatest build-up of unpaired electron density in this region.</p></div></div></div>

A Heterogeneous CPU + GPU Algorithm for Variational Two-Electron Reduced-Density Matrix Driven Complete Active Space Self-Consistent Field Theory

2019 ◽  
Author(s):  
J. Wayne Mullinax ◽  
Elvis Maradzike ◽  
Lauren N. Koulias ◽  
Mohammad Mostafanejad ◽  
Evgeny Epifanovsky ◽  
...  
Keyword(s):  
Density Matrix ◽  
Reduced Density Matrix ◽  
Complete Active Space ◽  
Active Space ◽  
Consistent Field ◽  
Singlet States ◽  
Unpaired Electron Density ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Reduced Density

<div><div><div><p>We present a heterogeneous CPU+GPU algorithm for the direct variational optimization of the two-electron reduced-density matrix (2RDM) under two-particle N-representability conditions. This variational 2RDM (v2RDM) approach is the driver for a polynomially-scaling approximation to configuration-interaction-driven complete active space self-consistent field (CASSCF) theory. For v2RDM-based CASSCF com- putations involving an active space consisting of 50 electrons in 50 orbitals [denoted (50e,50o)], we observe a speedup of a factor of 3.7 when the code is executed on a combination of an NVIDIA TITAN V GPU and an Intel Core i7-6850k CPU, relative to the case when the code is executed on the CPU alone. We use this GPU-accelerated v2RDM-CASSCF algorithm to explore the electronic structure of the 3,k-circumacene and 3,k-periacene series (k=2–7) and compare indicators of polyradical character in the lowest-energy singlet states to those observed for oligoacene molecules. The singlet states in larger circumacene and periacene molecules display the same polyradical characteristics observed in oligoacenes, with the onset of this behavior occuring at smallest k for periacenes, followed by the circumacenes and then the oligoacenes. However, the unpaired electron density that accumulates along the zig-zag edge of the circumacenes is slightly less than that which accumulates in the oligoacenes, while periacenes clearly exhibit the greatest build-up of unpaired electron density in this region.</p></div></div></div>

Trace resetting density matrix purification in O(N) self-consistent-field theory

2003 ◽  
Vol 118 (19) ◽  
pp. 8611-8620 ◽  
Author(s):  
Anders M. N. Niklasson ◽  
C. J. Tymczak ◽  
Matt Challacombe
Keyword(s):  
Field Theory ◽  
Density Matrix ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Self Consistent Field Theory
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