2021
DOI: 10.1021/acs.jctc.1c00984
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Excited-State DMRG Made Simple with FEAST

Abstract: We introduce DMRG­[FEAST], a new method for optimizing excited-state many-body wave functions with the density matrix renormalization group (DMRG) algorithm. Our approach applies the FEAST algorithm, originally designed for large-scale diagonalization problems, to matrix product state wave functions. We show that DMRG­[FEAST] enables the stable optimization of both low- and high-energy eigenstates, therefore overcoming the limitations of state-of-the-art excited-state DMRG algorithms. We demonstrate the reliab… Show more

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Cited by 21 publications
(15 citation statements)
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“…These MR diagnostics oen disagree with each other, 24,43 with the diagnostics derived from DFT being less predictive than those derived from wavefunction theory (WFT). 44 Data-driven methods have augmented conventional approaches [45][46][47][48][49] for making system-specic decisions associated with carrying out quantum chemical calculations. For example, Jeong et al 50 demonstrated an ML protocol that performs automated selection of active spaces for bond dissociation of main group diatomic molecules, alleviating the computational cost.…”
Section: Introductionmentioning
confidence: 99%
“…These MR diagnostics oen disagree with each other, 24,43 with the diagnostics derived from DFT being less predictive than those derived from wavefunction theory (WFT). 44 Data-driven methods have augmented conventional approaches [45][46][47][48][49] for making system-specic decisions associated with carrying out quantum chemical calculations. For example, Jeong et al 50 demonstrated an ML protocol that performs automated selection of active spaces for bond dissociation of main group diatomic molecules, alleviating the computational cost.…”
Section: Introductionmentioning
confidence: 99%
“…However, WFT calculations scale at least N 4 with the system size and thus are impractical in VHTS of transition metal chemistry. Moreover, certain MR diagnostics have been observed to be more transferable over different chemical spaces (i.e., organic molecules vs TMCs) than others. Therefore, data-driven approaches have been developed to bridge the gap between DFT- and WFT-based diagnostics, making system-specific MR/SR decisions for method selection and automating active space selection for MR WFT calculations. ,, …”
Section: Introductionmentioning
confidence: 99%
“…Because each additional root needs to fully solve the DMRG problem, memory and time requirements are significantly increased. Improved DMRG excited-state treatments for strongly correlated systems with intermediate m values are needed …”
Section: Resultsmentioning
confidence: 99%
“…Optimizations of excited states in quantum-chemical DMRG are not as straightforward as for traditional CI approaches. In this work, we make use of a state-specific treatment (not to be confused with the treatment of orbitals in the state-average CASSCF optimization), which enforces electronic-state orthogonalization before and after each (two-site) tensor optimization for a given electronic state. For more information on the DMRG algorithms used in this work, see refs and .…”
Section: Methodsmentioning
confidence: 99%