Second-order Møller-Plesset perturbation (MP2) theory at finite temperature: relation with Surján's density matrix MP2 and its application to linear-scaling divide-and-conquer method

Verfasser / Beitragende:
[Masato Kobayashi, Tetsuya Taketsugu]
Ort, Verlag, Jahr:
2015
Enthalten in:
Theoretical Chemistry Accounts, 134/9(2015-09-01), 1-10
Format:
Artikel (online)
ID: 605487359
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024 7 0 |a 10.1007/s00214-015-1710-y  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00214-015-1710-y 
245 0 0 |a Second-order Møller-Plesset perturbation (MP2) theory at finite temperature: relation with Surján's density matrix MP2 and its application to linear-scaling divide-and-conquer method  |h [Elektronische Daten]  |c [Masato Kobayashi, Tetsuya Taketsugu] 
520 3 |a In 2005, Surján showed two explicit formulas for evaluating the second-order Møller-Plesset perturbation (MP2) energy as a functional of the Hartree-Fock density matrix $$\varvec{D}$$ D (Chem Phys Lett 406:318, 2005), which are referred to as the $$\Delta E_\text {MP2}[\varvec{D}]$$ Δ E MP2 [ D ] functionals. In this paper, we present the finite-temperature (FT) MP2 energy functionals of the FT Hartree-Fock density matrix. There are also two formulas for the FT-MP2, namely the conventional and renormalized ones; the latter of which has recently been formulated by Hirata and He (J Chem Phys 138:204112, 2013). We proved that there exists one-to-one correspondence between the formulas of two FT-MP2 and the $$\Delta E_\text {MP2}[\varvec{D}]$$ Δ E MP2 [ D ] functionals. This fact can explain the different behavior of two $$\Delta E_\text {MP2}[\varvec{D}]$$ Δ E MP2 [ D ] functionals when an approximate Hartree-Fock density matrix is applied, which was previously investigated by Kobayashi and Nakai (Chem Phys Lett 420:250, 2006). We also applied the FT-MP2 formalisms to the linear-scaling divide-and-conquer method for improving the accuracy with tiny addition of the computational efforts. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Fractional occupation number  |2 nationallicence 
690 7 |a Many-body perturbation theory  |2 nationallicence 
690 7 |a Laplace-transformed Møller-Plesset perturbation  |2 nationallicence 
690 7 |a Linear-scaling electronic structure method  |2 nationallicence 
700 1 |a Kobayashi  |D Masato  |u Department of Chemistry, Faculty of Science, Hokkaido University, 060-0810, Sapporo, Japan  |4 aut 
700 1 |a Taketsugu  |D Tetsuya  |u Department of Chemistry, Faculty of Science, Hokkaido University, 060-0810, Sapporo, Japan  |4 aut 
773 0 |t Theoretical Chemistry Accounts  |d Springer Berlin Heidelberg  |g 134/9(2015-09-01), 1-10  |x 1432-881X  |q 134:9<1  |1 2015  |2 134  |o 214 
856 4 0 |u https://doi.org/10.1007/s00214-015-1710-y  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00214-015-1710-y  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kobayashi  |D Masato  |u Department of Chemistry, Faculty of Science, Hokkaido University, 060-0810, Sapporo, Japan  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Taketsugu  |D Tetsuya  |u Department of Chemistry, Faculty of Science, Hokkaido University, 060-0810, Sapporo, Japan  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Theoretical Chemistry Accounts  |d Springer Berlin Heidelberg  |g 134/9(2015-09-01), 1-10  |x 1432-881X  |q 134:9<1  |1 2015  |2 134  |o 214