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arXiv · 1905.01558

Approximate analytical gradients and nonadiabatic couplings for the state-average density matrix renormalization group self-consistent field method

Leon Freitag·Yingjin Ma·Alberto Baiardi·Stefan Knecht·Markus Reiher
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Abstract

We present an approximate scheme for analytical gradients and nonadiabatic couplings for calculating state-average density matrix renormalization group self-consistent-field wavefunction. Our formalism follows closely the state-average complete active space self-consistent-field (SA-CASSCF) \emph{ansatz}, which employs a Lagrangian, and the corresponding Lagrange multipliers are obtained from a solution of the coupled-perturbed CASSCF (CP-CASSCF) equations. We introduce a definition of the matrix product state (MPS) Lagrange multipliers based on a single-site tensor in a mixed-canonical form of the MPS, such that a sweep procedure is avoided in the solution of the CP-CASSCF equations. We apply our implementation to the optimization of a conical intersection in 1,2-dioxetanone, where we are able to fully reproduce the SA-CASSCF result up to arbitrary accuracy.

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Leon Freitag, Yingjin Ma, Alberto Baiardi, Stefan Knecht, Markus Reiher. 2019-12-09. Approximate analytical gradients and nonadiabatic couplings for the state-average density matrix renormalization group self-consistent field method. https://doi.org/10.1021/acs.jctc.9b00969

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