arXiv subjects

D. Kats

Publications and source records attributed to D. Kats.

3 recordsLinked to original sources

arXiv2025

Nodal error behind discrepancies between coupled cluster and diffusion Monte Carlo in hydrogen-bonded systems

The small magnitude and long-range character of non-covalent interactions pose a significant challenge for computational quantum chemical and electronic-structure methods alike. State-of-the-art coupled cluster (CC) theory and benchmark-grade diffusion Monte Carlo (DMC) are ideally positioned to tackle these problems, but concerning differences between both methods have been reported in numerous studies of the interaction energy of non-covalently bound dimers. Given that the basic theoretical frameworks underpinning both methods are exact in principle, the error must arise from one or several of the approximations required to make the calculations computationally tractable. Here, we carry out a rigorous and systematic examination of the effect of each of these approximations using the acetic acid dimer and water-peptide systems as convenient testing grounds. Thanks to the use of stringently optimized backflow wave functions we are able to find that the significant discrepancies are dominated by the fixed-node error incurred by the Slater-Jastrow DMC result, while errors in the CC calculations do not significantly alter the result. This finding, likely applicable to other hydrogen-bonded systems, helps establish that CC should be regarded as the benchmark for these systems, and can potentially guide the search for pragmatic solutions to the fixed-node problem in the future.

physics.chem-ph↗

arXiv2025

Benchmarking distinguishable cluster methods to platinum standard CCSDT(Q) non covalent interaction energies in the A24 dataset

Recent disagreement between state-of-the-art quantum chemical methods, coupled cluster with single, double and perturbative triples excitations and fixed-node diffusion Monte Carlo, calls for systematic examination of possible sources of error within both methodological approaches. Coupled cluster theory is systematically improvable toward the exact solution of the Schr\"odinger equation, however very quickly is limited by the computational cost of the calculation. Therefore, it has become imperative to develop low-cost methods that are able to reproduce CC results, beyond the CCSD(T) level of theory. Here, the DC-CCSDT and SVD-DC-CCSDT methods are examined for their fidelity to the CCSDT(Q) correlation interaction energies for the A24 dataset and are shown to outperform CCSDT and CCSD(T). Furthermore, with (T)-based corrections of the SVD approximation the SVD-DC-CCSDT method becomes an accurate and relatively low-cost tool for calculation of previously intractable post-CCSD(T) energies in atomic orbital basis sets of unprecedented size.

physics.chem-ph↗

arXiv2024

On the applicability of CCSD(T) for dispersion interactions in large conjugated systems

In light of the recent discrepancies reported between fixed node diffusion Monte Carlo and local natural orbital coupled cluster with single, double and perturbative triples (CCSD(T)) methodologies for non-covalent interactions in large molecular systems [Al-Hamdani et al., Nat. Comm., 2021, 12, 3927], the applicability of CCSD(T) is assessed using a model framework. The use of the Pariser-Parr-Pople (PPP) model for studying large molecules is critically examined and is shown to recover both bandgap closure as system size increases and long range dispersive behavior of r^-6 with increasing separation between monomers, in corollary with real systems. Using the PPP model, coupled cluster methodologies, CCSDTQ and CCSDT(Q), are then used to benchmark CCSDT and CCSD(T) methodologies for non-covalent interactions in large one- and two-dimensional molecular systems up to the dibenzocoronene dimer. We show that CCSD(T) demonstrates no signs of overestimating the interaction energy for these systems. Furthermore, by examining the Hartree-Fock HOMO-LUMO gap of these large molecules, the perturbative treatment of the triples contribution in CCSD(T) is not expected to cause problems for accurately capturing the interaction energy for system sizes up to at least circumcoronene.

physics.chem-ph↗