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Multi-reference Epstein–Nesbet perturbation theory with density matrix renormalization group reference wavefunction

Yinxuan Song, Yifan Cheng, Yingjin Ma, Haibo Ma

2020Electronic Structure21 citationsDOIOpen Access PDF

Abstract

Abstract The accurate electronic structure calculation for strongly correlated chemical systems requires an adequate description for both static and dynamic electron correlation, and is a persistent challenge for quantum chemistry. In order to account for static and dynamic electron correlations accurately and efficiently, in this work we propose a new method by integrating the density matrix renormalization group (DMRG) method and multi-reference second-order Epstein–Nesbet perturbation theory (ENPT2) with a selected configuration interaction (SCI) approximation. Compared with previous DMRG-based dynamic correlation methods, the DMRG-ENPT2 method extends the range of applicability, allowing us to efficiently calculate systems with very large active space beyond 30 orbitals. We demonstrate this by performing calculations on H 2 S with an active space of (16e, 15o), hexacene with an active space of (26e, 26o) and 2D H 64 square lattice with an active space of (42e, 42o).

Topics & Concepts

Density matrix renormalization groupPhysicsPerturbation theory (quantum mechanics)Quantum mechanicsWave functionComplete active spaceRenormalizationLattice (music)Renormalization groupDensity matrixSpace (punctuation)Perturbation (astronomy)Work (physics)Statistical physicsMathematicsQuantumElectronic correlationConfiguration interactionMatrix (chemical analysis)Quantum electrodynamicsFull configuration interactionNon-perturbativeElectronConfiguration spaceSquare latticeElectronic structureMatrix algebraMathematical physicsAdvanced Physical and Chemical Molecular InteractionsAdvanced Chemical Physics StudiesFullerene Chemistry and Applications