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      The critical role of ultra-low-energy vibrations in the relaxation dynamics of molecular qubits

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          Abstract

          Improving the performance of molecular qubits is a fundamental milestone towards unleashing the power of molecular magnetism in the second quantum revolution. Taming spin relaxation and decoherence due to vibrations is crucial to reach this milestone, but this is hindered by our lack of understanding on the nature of vibrations and their coupling to spins. Here we propose a synergistic approach to study a prototypical molecular qubit. It combines inelastic X-ray scattering to measure phonon dispersions along the main symmetry directions of the crystal and spin dynamics simulations based on DFT. We show that the canonical Debye picture of lattice dynamics breaks down and that intra-molecular vibrations with very-low energies of 1-2 meV are largely responsible for spin relaxation up to ambient temperature. We identify the origin of these modes, thus providing a rationale for improving spin coherence. The power and flexibility of our approach open new avenues for the investigation of magnetic molecules with the potential of removing roadblocks toward their use in quantum devices.

          Abstract

          Understanding phonon-induced relaxation in molecular qubits is a crucial step in realizing their application potential. Garlatti at al. use a combination of inelastic X-ray scattering and density functional theory to investigate the role of low-energy phonons on spin relaxation of a prototypical molecular qubit.

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          Most cited references59

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          Generalized Gradient Approximation Made Simple

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            A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu.

            The method of dispersion correction as an add-on to standard Kohn-Sham density functional theory (DFT-D) has been refined regarding higher accuracy, broader range of applicability, and less empiricism. The main new ingredients are atom-pairwise specific dispersion coefficients and cutoff radii that are both computed from first principles. The coefficients for new eighth-order dispersion terms are computed using established recursion relations. System (geometry) dependent information is used for the first time in a DFT-D type approach by employing the new concept of fractional coordination numbers (CN). They are used to interpolate between dispersion coefficients of atoms in different chemical environments. The method only requires adjustment of two global parameters for each density functional, is asymptotically exact for a gas of weakly interacting neutral atoms, and easily allows the computation of atomic forces. Three-body nonadditivity terms are considered. The method has been assessed on standard benchmark sets for inter- and intramolecular noncovalent interactions with a particular emphasis on a consistent description of light and heavy element systems. The mean absolute deviations for the S22 benchmark set of noncovalent interactions for 11 standard density functionals decrease by 15%-40% compared to the previous (already accurate) DFT-D version. Spectacular improvements are found for a tripeptide-folding model and all tested metallic systems. The rectification of the long-range behavior and the use of more accurate C(6) coefficients also lead to a much better description of large (infinite) systems as shown for graphene sheets and the adsorption of benzene on an Ag(111) surface. For graphene it is found that the inclusion of three-body terms substantially (by about 10%) weakens the interlayer binding. We propose the revised DFT-D method as a general tool for the computation of the dispersion energy in molecules and solids of any kind with DFT and related (low-cost) electronic structure methods for large systems.
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              Rationale for mixing exact exchange with density functional approximations

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                Author and article information

                Contributors
                roberta.sessoli@unifi.it
                lunghia@tcd.ie
                stefano.carretta@unipr.it
                Journal
                Nat Commun
                Nat Commun
                Nature Communications
                Nature Publishing Group UK (London )
                2041-1723
                24 March 2023
                24 March 2023
                2023
                : 14
                : 1653
                Affiliations
                [1 ]GRID grid.10383.39, ISNI 0000 0004 1758 0937, Dipartimento di Scienze Matematiche, Fisiche e Informatiche, , Università di Parma and UdR Parma, INSTM, ; I-43124 Parma, Italy
                [2 ]INFN, Sezione di Milano-Bicocca, gruppo collegato di Parma, I-43124 Parma, Italy
                [3 ]GRID grid.182470.8, Dipartimento di Chimica ‘Ugo Schiff’, , Università Degli Studi di Firenze and UdR Firenze, INSTM, ; I-50019 Sesto Fiorentino, Italy
                [4 ]GRID grid.8217.c, ISNI 0000 0004 1936 9705, School of Physics, AMBER and CRANN Institute, , Trinity College, ; Dublin 2, Ireland
                [5 ]GRID grid.5398.7, ISNI 0000 0004 0641 6373, ESRF - The European Synchrotron Radiation Facility, ; F-38043 Grenoble, Cedex 09 France
                [6 ]GRID grid.202665.5, ISNI 0000 0001 2188 4229, National Synchrotron Light Source II, , Brookhaven National Laboratory, ; Upton, NY 11973 USA
                [7 ]GRID grid.470205.4, INFN, Sezione di Genova, ; I-16146 Genova, Italy
                Author information
                http://orcid.org/0000-0002-0370-0534
                http://orcid.org/0000-0001-9280-7431
                http://orcid.org/0000-0003-2699-7200
                http://orcid.org/0000-0001-9774-1507
                http://orcid.org/0000-0003-4752-0495
                http://orcid.org/0000-0003-3783-2700
                http://orcid.org/0000-0002-1948-4434
                http://orcid.org/0000-0002-2536-1326
                Article
                36852
                10.1038/s41467-023-36852-y
                10039010
                36964152
                a7847cb1-d6b6-4f9d-ab03-6efebab8c9ed
                © The Author(s) 2023

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 8 July 2022
                : 15 February 2023
                Funding
                Funded by: FundRef https://doi.org/10.13039/100010664, EC | EU Framework Programme for Research and Innovation H2020 | H2020 Priority Excellent Science | H2020 Future and Emerging Technologies (H2020 Excellent Science - Future and Emerging Technologies);
                Award ID: 862893
                Award Recipient :
                Funded by: FundRef https://doi.org/10.13039/100009097, Fondazione Cariparma (Fondazione Cassa di Risparmio di Parma e Monte di Credito Pawn Busseto);
                Categories
                Article
                Custom metadata
                © The Author(s) 2023

                Uncategorized
                chemical physics,magnetic properties and materials,qubits
                Uncategorized
                chemical physics, magnetic properties and materials, qubits

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