Numerical and Theoretical Aspects of the DMRG-TCC Method Exemplified by the Nitrogen Dimer

0517392 - ÚFCH JH 2020 RIV US eng J - Journal Article
Faulstich, F. M. - Mate, M. - Laestadius, A. - Csirik, M. A. - Veis, Libor - Antalík, Andrej - Brabec, Jiří - Schneider, R. - Pittner, Jiří - Kvaal, S. - Legeza, Ö.
Numerical and Theoretical Aspects of the DMRG-TCC Method Exemplified by the Nitrogen Dimer.
Journal of Chemical Theory and Computation. Roč. 15, č. 4 (2019), s. 2206-2220. ISSN 1549-9618. E-ISSN 1549-9626
R&D Projects: GA ČR GA16-12052S; GA ČR(CZ) GJ18-18940Y; GA ČR(CZ) GA18-24563S; GA MŠMT(CZ) LTAUSA17033
Institutional support: RVO:61388955
Keywords : multireference coupled-cluster * matrix renormalization-group * wigner perturbation-theory * brillouin-wigner * fock-space * configuration-interaction * model * single * formalism * implementation
OECD category: Physical chemistry
Impact factor: 5.011, year: 2019
Method of publishing: Limited access

In this article, we investigate the numerical and theoretical aspects of the coupled-cluster method tailored by matrix-product states. We investigate formal properties of the used method, such as energy size consistency and the equivalence of linked and unlinked formulation. The existing mathematical analysis is here elaborated in a quantum chemical framework. In particular, we highlight the use of what we have defined as a complete active space-external space gap describing the basis splitting between the complete active space and the external part generalizing the concept of a HOMO-LUMO gap. Furthermore, the behavior of the energy error for an optimal basis splitting, i.e., an active space choice minimizing the density matrix renormalization group-tailored coupled-cluster singles doubles error, is discussed. We show numerical investigations on the robustness with respect to the bond dimensions of the single orbital entropy and the mutual information, which are quantities that are used to choose a complete active space. Moreover, the dependence of the ground-state energy error on the complete active space has been analyzed numerically in order to find an optimal split between the complete active space and external space by minimizing the density matrix renormalization group-tailored coupled-cluster error.
Permanent Link: http://hdl.handle.net/11104/0302709