Publications

2018

*Luigi Malavolti, Matteo Briganti, Max Hänze, Giulia Serrano, Irene Cimatti, Gregory McMurtrie, Edwige Otero, Philippe Ohresser, Federico Totti, Matteo Mannini, Roberta Sessoli, Sebastian Loth, Tunable Spin-Superconductor Coupling of Spin ½ Vanadyl-Phthalocyanine Molecules, Nano Lett. 18, 7955-7961 (2018)

Metadata: http://sumo.unizar.es/pdf/SUMO_FMQ_Malavolti_NanoLett2018_v1.pdf

*Riaz Hussain, Giuseppe Allodi, Alessandro Chiesa, Elena Garlatti, Dmitri Mitcov, Andreas Konstantatos, Kasper S. Pedersen, Roberto De Renzi, Stergios Piligkos, and Stefano Carretta, Coherent manipulation of a molecular Ln-based qudit coupled to an electron qubit, J. Am. Chem. Soc. 140, 9814-9818 (2018) https://arxiv.org/abs/1909.02374

Metadata: http://sumo.unizar.es/pdf/SUMO_INSTMPR_Hussain_JACS2018_v1.pdf

*Wei-Peng Chen, Jared Singleton, Lei Qin, Agustín Camón, Larry Engelhardt, Fernando Luis, Richard E.P. Winpenny, and Yan-Zhen Zheng, Quantum Monte Carlo simulations of a giant {Ni₂₁Gd₂₀} cage with a S = 91 spin ground state, Nat. Comm. 9, 2107 (2018)

*Tsutomu Yamabayashi, Matteo Atzori, Lorenzo Tesi, Goulven Cosquer, Fabio Santanni,
Marie-Emmanuelle Boulon, Elena Morra, Stefano Benci, Renato Torre, Mario Chiesa,
Lorenzo Sorace, Roberta Sessoli, and Masahiro Yamashita, Scaling Up Electronic Spin Qubits into a Three-Dimensional Metal-Organic Framework, J. Am. Chem. Soc. 140, 12090-12101 (2018) https://arxiv.org/abs/1909.02374

2019

*Alejandro Gaita-Ariño, Fernando Luis, Steve Hill, Eugenio Coronado, Molecular Spins for Quantum Computation, Nat. Chem. 11, 301-309 (2019)

Metadata: http://sumo.unizar.es/pdf/SUMO_ICMol_Gaita_NatChem2019_v1.pdf

*Alessandro Chiesa, Emilio Macaluso, Paolo Santini, Stefano Carretta, Eva Pavarini, First-principles many-body models for electron transport through molecular nanomagnets, Phys. Rev. B 99, 235145 (2019) https://arxiv.org/abs/1909.01770

Metadata: http://sumo.unizar.es/pdf/SUMO_INSTMPR_Chiesa_PRB2019_v1.pdf

*David Zueco, Juanjo García-Ripoll, Ultrastrongly Dissipative Quantum Rabi Model, Phys. Rev. A 99, 013807 (2019) https://arxiv.org/abs/1806.01952

*Eva Lucaccini, Lorenzo Sorace, Fatemeh Adelnia, Samuele Sanna, Paolo Arosio, Manuel Mariani, Stefano Carretta, Zaher Salman, Ferdinando Borsa, Alessandro Lascialfari, NMR and mu⁺SR detection of unconventional spin dynamics in Er(trensal) and Dy(trensal) molecular magnets, Phys. Rev. B 100, 174416 (2019) https://arxiv.org/abs/1905.08216

*Guillem Aromí, Olivier Roubeau, Lanthanide Molecules for Spin-based Quantum Technologies, Handbook of the Physics and Chemistry of Rare Earths, 56, 1-54 (2019)

Metadata: http://sumo.unizar.es/pdf/SUMO_CSIC_Roubeau_HPCRE2019_v1.pdf

*Junjie Liu, Jakub Mrozek, William K. Myers, Grigore A. Timco, Richard E. P. Winpenny, Benjamin Kintzel, Winfried Plass, Arzhang Ardavan, Electric Field Control of Spins in Molecular Magnets, Phys. Rev. Lett. 122, 037202 (2019) https://arxiv.org/abs/1805.05256

Metadata: http://sumo.unizar.es/pdf/SUMO_UOXF_Liu_PRL2019-1_v1.pdf

*Lorena Rosaleny, Kirill Zinovjev, Iñaki Tuñón, Alejandro Gaita-Ariño, A first peek intosub-picosecond dynamics of spin energy levels in magnetic biomolecules, Phys. Chem. Chem. Phys. 21, 10908-10913 (2019)

Metadata: http://sumo.unizar.es/pdf/SUMO_ICMol_Rosaleny_PCCP2019_v1.pdf

*Luis Escalera-Moreno, José J. Baldoví, Alejandro Gaita-Ariño, Eugenio Coronado, Exploring the High-Temperature Frontier in Molecular Nanomagnets: From Lanthanides to Antinides, Inorg. Chem. 58, 11883-11892 (2019)

Metadata: http://sumo.unizar.es/pdf/SUMO_ICMol_Escalera_InChem2019_v1.pdf

*María José Martínez-Pérez and David Zueco, Strong Coupling of a Single Photon to a Magnetic Vortex, ACS Photonics 6 (2), 360-367 (2019) https://arxiv.org/abs/1807.04075

*Matteo Atzori and Roberta Sessoli, The Second Quantum Revolution: Role and Challenges of Molecular Chemistry, J. Am. Chem. Soc. 141, 11339-11352 (2019)

*Verónica Velasco, Leoní A. Barrios, Mike Schütze, Olivier Roubeau, Fernando Luis, Simon J. Teat, David Aguilà, Guillem Aromí, Controlled heterometallic composition in linear trinuclear [LnCeLn] lanthanide molecular assemblies, Chem. Eur. J. 25, 15228-15232 (2019)

*María José Martínez-Pérez and David Zueco, QED with magnetic textures, New J. Phys. 21, 115002 (2019) https://arxiv.org/abs/1907.02568

*Eduardo Sánchez-Burillo, Luis Martín-Moreno, Juan José García-Ripoll and David Zueco, Single photons by quenching the vacuum, Phys. Rev. Lett. 123, 013601 (2019) https://arxiv.org/abs/1810.10857

*Kai Yang, William Paul, Soo-Hyon Phark, Philip Willke, Yujeong Bae, Taeyoung Choi, Taner Esat, Arzhang Ardavan, Andreas J. Heinrich, and Crhistopher P. Lutz, Coherent spin manipulation of individual atoms on a surface, Science 366, 509-512 (2019)  https://www.science.org/doi/10.1126/science.aay6779

*Andrea Albino, Stefano Benci, Lorenzo Tesi, Matteo Atzori, Renato Torre, Stefano Sanvito, Roberta Sessoli, and Alessandro Lunghi, First-Principles Investigation of Spin-Phonon Coupling in Vanadium-Based Molecular Spin Quantum Bits, Inorg. Chem. 58, 10260-10268 (2019)

*I. Cimatti, L. Bondi, G. Serrano, L. Malavolti, B. Cortigiani, E. Velez-Fort, D. Betto, A. Ouerghi, N. B. Brookes, S. Loth, M. Mannini, F. Totti, and R. Sessoli, Vanadyl phthalocyanines on graphene/SiC(0001): toward a hybrid architecture for molecular spin qubits, Nanoscale Horizons 4, 1202-1210 (2019) https://doi.org/10.1039/C9NH00023B

*Maria Fittipaldi, Alberto Cini, Giuseppe Annino, Alessandro Vindigni, Andrea Caneschi, and Roberta Sessoli, Electric field modulation of magnetic exchange in molecular helices, Nat. Mat. 18, 329-334 (2019) https://doi.org/10.1038/s41563-019-0288-5

2020

*Francesco Tacchino, Alessandro Chiesa, Stefano Carretta, and Dario Gerace, Quantum Computers as Universal Quantum Simulators: State-of-the-Art and Perspectives, Adv. Quantum Technol. 3, 1900052 (2020) https://doi.org/10.1002/qute.201900052

*Ainhoa Urtizberea, Eva Natividad, Pablo J. Alonso, Laura Pérez, Miguel A. Andrés, Ignacio Gascón, Ignacio Gimeno, Fernando Luis, Olivier Roubeau, Vanadyl spin qubits 2D arrays and their integration on superconducting lines, Mater. Horiz. 7, 885-897 (2020)

Metadata: http://sumo.unizar.es/pdf/SUMO_CSIC_Roubeau_MaterHoriz2020_v1.pdf

*Alessandro Chiesa, Emilio Macaluso, Francesco Petiziol, Sandro Wimberger, Paolo Santini, Stefano Carretta, Molecular Nanomagnets as qubits with embedded quantum-error correction , J. Phys. Chem. Lett. 20, 8610-8615 (2020) http://dx.doi.org/10.1021/acs.jpclett.0c02213

*Alessandro Chiesa, Francesco Cugini, Riaz Hussain, Emilio Macaluso, Giuseppe Allodi, Elena Garlatti, Marcus Giansiracusa, Conrad A. P. Goodwin, Fabrizio Ortu, Daniel Reta, Jonathan M. Skelton, Tatiana Guidi, Paolo Santini, Massimo Solzi, Roberto De Renzi, David P. Mills, Nicholas F. Chilton, Stefano Carretta, Understanding magnetic relaxationin single-ion magnets with high-blocking temperature, Phys. Rev. B 101, 174402 (2020) http://dx.doi.org/10.1103/PhysRevB.101.174402 

*Alex J. Lewis, Elena Garlatti, Francesco Cugini, Massimo Solzi, Matthias Zeller, Stefano Carretta, Curtis M. Zaleski, Slow Magnetic Relaxation of a 12-Metallacrown-4 Complex with a Manganese(III)–Copper(II) Heterometallic Ring Motif, Inorg. Chem. 59, 11894–11900 (2020)https://doi.org/10.48550/arXiv.2203.01742

*Charles A. Collett, Paolo Santini, Stefano Carretta, Jonathan R. Friedman, Constructing clock-transition-based two-qubit gates from dimers of molecular nanomagnets, Phys. Rev. Research 2, 032037(R) (2020) https://arxiv.org/abs/2004.03635

*Elena Garlatti, Giuseppe Allodi, Sara Bordignon, Lorenzo Bodonali, Grigore A. Timco, Richard E. P. Winpenny, Alessandro Lascialfari, Roberto De Renzi, Stefano Carretta, Breaking the ring: ⁵³Cr-NMR on the Cr₈Cd molecular nanomagnets, J. Phys. Condens. Matter 32, 244003 (2020) https://arxiv.org/abs/2101.07193

*Elena Garlatti, Lorenzo Tesi, Alessandro Lunghi, Matteo Atzori, David J. Voneshen, Paolo Santini, Stefano Sanvito, Tatiana Guidi, Roberta Sessoli, Stefano Carretta, Unveiling phonons in a molecular qubit with four-dimensional inelastic neutron scattering and density functional theory, Nat. Commun. 11, 1751 (2020) http://dx.doi.org/10.1038/s41467-020-15475-7

*Emilio Macaluso, Marcos Rubín, David Aguilà, Alessandro Chiesa, Leoní A. Barrios, Jesús I. Martínez, Pablo J. Alonso, Olivier Roubeau, Fernando Luis, Guillem Aromí, Stefano Carretta,  A heterometallic [LnLn′Ln] lanthanide complex as a qubit with embedded quantum error correction, Chem. Sci, 11, 10337-10343 (2020) https://doi.org/10.1039/D0SC03107K

*Fernando Luis, Pablo J. Alonso, Olivier Roubeau, Verónica Velasco, David Zueco, David Aguilà, Jesús I. Martínez, Leoní A. Barrios, Guillem Aromí, A dissymetric [Gd₂] coordination molecular dimer hosting six addressable spin qubits, Commun. Chem. 3, 176 (2020)

*Giulia Serrano, Lorenzo Poggini, Matteo Briganti, Andrea Luigi Sorrentino, Giuseppe Cucinotta, Luigi Malavolti, Brunetto Cortigiani, Edwige Otero, Philippe Sainctavit, Sebastian Loth, Francesca Parenti, Anne-Laure Barra, Alessandro Vindigni, Andrea Cornia, Federico Totti, Matteo Mannini, Roberta Sessoli, Quantum dynamics of a single molecule magnet on superconducting Pb(111), Nat. Mater. 19, 546-551 (2020)

*Ignacio Gimeno, Wenzel Kersten, María C. Pallarés, Pablo Hermosilla, María José Martínez-Pérez, Mark D. Jenkins, Andreas Angerer, Carlos Sánchez-Azqueta, David Zueco, Johannes Majer, Anabel Lostao, Fernando Luis, Enhanced molecular spin-photon coupling at superconducting nanoconstrictions, ACS Nano 14, 8707-8715 (2020) https://arxiv.org/abs/2006.03386

*Ivana Borilovic, Pablo J. Alonso, Olivier Roubeau, Guillem Aromí, A bis-vanadyl coordination complex as a 2-qubit quantum gate, Chem. Comm. 56, 3139-3142 (2020)

Metadata: https://sumo.unizar.es/pdf/SUMO_CSIC_Roubeau_ChemComm_v1.pdf

*María José Martínez-Pérez, Benedikt Müller, Jianxin Lin, Luis A. Rodríguez, Etienne Snoeck, Reinhold Kleiner, Javier Sesé, Dieter Koelle, Magnetic vortex nucleation and annihilation in bi-stable ultra-small ferromagnetic particles, Nanoscale 12, 2587-2595 (2020) 

*Vincenzo Macrì, Franco Nori, Salvatore Savasta, and David Zueco, Spin squeezing by one-photon-two-atom excitation processes in atomic ensembles, Phys. Rev. A 101, 053818 (2020) https://arxiv.org/abs/1902.10377

*Juan Román-Roche, Eduardo Sánchez-Burillo, and David Zueco, Bound states in ultrastrong waveguide QED, Phys. Rev. A 102, 023702 (2020) https://arxiv.org/abs/2001.07643

*Charles A. Downing, David Zueco, and Luis Martín-Moreno, Chircal Current Criculation and PT Symmetry in a Trimer of Oscillators, ACS Photonics 7, 3401-3414 (2020) https://arxiv.org/abs/2009.06620

*Jorge Salinas-Uber, Leoní A. Barrios, Olivier Roubeau, and Guillem Aromí, Two [Ln₄] molecular rings folded as compact tetrahedra, Dalton Trans. 49, 7182 (2020)  https://doi.org/10.1039/D0DT01259A

*José Sánchez Costa, Santiago Rodríguez-Jiménez, Gavin A. Craig, Benjamin Barth, Christine M. Beavers, Simon J. Teat, Kevin J. Gagnon, Leoní A. Barrios, Olivier Roubeau, and Guillem Aromí, Selective signalling of alcohols by a molecular lattice and mechanism of single-crystal-to-single-crystal transformations, Inorg. Chem. Front. 7, 3165-3175 (2020)  https://doi.org/10.1039/D0QI00645A

*Fernando Luis, Pablo J. Alonso, Olivier Roubeau, Verónica Velasco, David Zueco, David Aguilà, Jesús I. Martínez, Leoní A. Barrios, and Guillem Aromí, A dissymetric [Gd₂] coordination molecular dimer hosting six addressable spin qubits, Comm. Chem. 3, 176 (2020)  https://doi.org/10.1038/s42004-020-00422-w

*Javier Rubín, Laura Badía-Romano, Fernando Luis, Valeriu Mereacre, Denis Prodius, Ana Arauzo, Fernando Bartolomé and Juan Bartolomé, Magnetic chains of Fe₃ clusters in the {Fe₃YO₂} butterfly molecular compound, Dalton Trans. 49, 2979 (2020)  https://doi.org/10.1039/C9DT04816B

*Giulia Serrano, Lorenzo Poggini, Matteo Briganti, Andrea Luigi Sorrentino, Giuseppe Cucinotta, Luigi Malavolti, Brunetto Cortigiani, Edwige Otero, Philippe Sainctavit, Sebastian Loth, Francesca Parenti, Anne-Laure Barra, Alessandro Vindigni, Andrea Cornia, Federico Totti, Matteo Mannini, and Roberta Sessoli, Quantum dynamics of a single molecule magnet on superconducting Pb(111), Nat. Mat. 19, 546-551 (2020)  https://doi.org/10.1038/s41563-020-0608-9

2021

*Alessandro Chiesa, Francesco Petiziol, Emilio Macaluso, Sandro Wimberger, Paolo Santini, Stefano Carretta, Embedded quantum-error correction and controlled-phase gate for molecular spin qubits, AIP Advances, 11, 025134 (2021) http://dx.doi.org/10.1063/9.0000166

*Francesco Petiziol, Mahdi Sameti, Stefano Carretta , Sandro Wimberger, Florian Mintert, Quantum Simulation of Three-Body Interactions in Weakly Driven Quantum Systems, Phys. Rev. Lett. 126, 250504 (2021) https://arxiv.org/abs/2011.03399

*Ignacio Gimeno, Ainhoa Uritzberea, Juan Román-Roche, David Zueco, Agustín Camón, Pablo J. Alonso, Olivier Roubeau, Fernando Luis, Broad-band spectroscopy of a vanadyl porphyrin: a model electronuclear spin qudit, Chem. Sci. 21, 5621-5630 (2021) 

*Junjie Liu, Jakub Mrozek, Aman Ullah, Yan Duan, José J. Baldoví, Eugenio Coronado, Alejandro Gaita-Ariño, Arzhang Ardavan, Quantum coherent spin-electric control in a molecular nanomagnet at clock transitions, Nat. Phys. (2021) https://arxiv.org/abs/2005.01029

*Marcos Rubín-Osanz, François Lambert, Feng Shao, Eric Rivière, Régis Guillot, Nicolas Suaud, Nathalie Guihéry, David Zueco, Anne-Laure Barra, Talal Mallah, Fernando Luis, Chemical tuning of spin clock transitions in molecular monomers based on nuclear spin-free Ni(II), Chem. Sci. 12, 5123-5133 (2021)

*Selena J. Lockyer, Alessandro Chiesa, Grigore A. Timco, Eric J. L. McInnes, Tom S. Bennett, Inigo J. Vitorica-Yrezebal, Stefano Carretta, Richard E. P. Winpenny, Targeting molecular quantum memory with embedded error correction, Chem. Sci.,12, 9104-9113 (2021) https://doi.org/10.1039/D1SC01506K

*Stefano Carretta, David Zueco, Alessandro Chiesa, Alvaro Gòmez-Lèon, Fernando Luis, A perspective on scaling up quantum computation with molecular spins, Appl. Phys. Lett. 118, 240501 (2021) https://arxiv.org/abs/2105.00654 (Front cover)

*F. Petiziol, A. Chiesa, S. Wimberger, P. Santini and S. Carretta, Counteracting dephasing in Molecular Nanomagnets by optimized qudit encodings, Npj Quantum Information 7, 133 (2021). https://doi.org/10.1038/s41534-021-00466-3

*Francesco Tacchino, Alessandro Chiesa, Roberta Sessoli, Ivano Tavernelli, Stefano Carretta, A proposal for using molecular spin qudits as quantum simulators of light–matter interactions, J. Mater. Chem. C, 9, 10266 (2021). https://doi.org/10.1039/d1tc00851j

*Simone Chicco, Alessandro Chiesa, Giuseppe Allodi, Elena Garlatti, Matteo Atzori, Lorenzo Sorace, Roberto De Renzi, Roberta Sessoli, Stefano Carretta, Controlled coherent dynamics of [VO(TPP)], a prototype molecular nuclear qudit with an electronic ancilla, Chem. Sci., 12, 12046 (2021). https://doi.org/10.1039/d1sc01358k

*Matteo Atzori, Elena Garlatti, Giuseppe Allodi, Simone Chicco, Alessandro Chiesa, Andrea Albino, Roberto De Renzi, Enrico Salvadori, Mario Chiesa, Stefano Carretta, Lorenzo Sorace, Radiofrequency to Microwave Coherent Manipulation of an Organometallic Electronic Spin Qubit Coupled to a Nuclear Qudit, Inorg. Chem., 60, 11273 (2021). https://doi.org/10.1021/acs.inorgchem.1c01267

*Elena Garlatti, Alessandro Chiesa, Pietro Bonfà, Emilio Macaluso, Ifeanyi J. Onuorah, Vijay S. Parmar, You-Song Ding, Yan-Zhen Zheng, Marcus J. Giansiracusa, Daniel Reta, Eva Pavarini, Tatiana Guidi, David P. Mills, Nicholas F. Chilton, Richard E. P. Winpenny, Paolo Santini, Stefano Carretta, A Cost-Effective Semi-Ab Initio Approach to Model Relaxation in Rare-Earth Single-Molecule Magnets, J. Phys. Chem. Lett., 12, 8826 (2021). https://doi.org/10.1021/acs.jpclett.1c02367

*Fabio Santinni, Andrea Albino, Matteo Arzori, Davide Ranieri, Enrico Salvadori, Mario Chiesa, Alessandro Lunghi, Andrea Bencini, Lorenzo Sorace, Federico Totti, and Roberta Sessoli, Probing Vibrational Symmetry Effects and Nuclear Spin Economy Principles in Molecular Spin Qubits, Inorg. Chem., 60, 140-151 (2021). https://doi.org/10.1021/acs.inorgchem.0c02573

*Javier López-Cabrelles, Luis Escalera-Moreno, Ziqi Hu, Helena Prima-García, Guillermo Mínguez Espallargas, Alejandro Gaita-Ariño, and Eugenio Coronado, Near Isotropic D_4d Spin Qubits as Nodes of a Gd(III)-Based Metal-Organic Framework, Inorg. Chem., 60, 8575-8580 (2021). https://doi.org/10.1021/acs.inorgchem.1c00504

*Kai Yang, Soo-Hyon Phark, Yujeong Bae, Taner Esat, Philip Willke, Arzhang Ardavan, Andreas J. Heinrich, and Christopher P. Lutz, Probing resonating valence bond states in artificial quantum magnets, Nat. Comm., 12, 993 (2021). https://doi.org/10.1038/s41467-021-21274-5

*Junjie Liu, Valentin V. Laguta, Katherine Inzani, Weichuan Huang, Sujit Das, Ruchira Chatterjee, Evan Sheridan, Sinéad M. Griffin, Arzhang Ardavan, and Ramamoorthy Ramesh, Coherent electric field manipulation of Fe³⁺ spins in PbTiO₃, Sci. Adv., 7, eabf8103 (2021). https://doi.org/10.1126/sciadv.abf8103

*Junjie Liu, Jakub Mrozek, Aman Ullah, Yan Duan, José J. Baldoví, Eugenio Coronado, Alejandro Gaita-Ariño, and Arzhang Ardavan, Quantum coherent spin-electric control in a molecular nanomagnet at clock transitions, Nat. Phys., 17, 1205-1209 (2021). https://doi.org/10.1038/s41567-021-01355-4

*Alessio Settineri, Omar Di Stefano, David Zueco, Stephen Hughes, Salvatore Savasta, and Franco Nori, Gauge freedom, quantum measurements, and time-dependent interactions in cavity QED, Phys. Rev. Res., 3, 023079 (2021). https://arxiv.org/abs/1912.08548

*David Aguilà, Olivier Roubeau, and Guillem Aromí, Designed polynuclear lanthanide complexes for quantum information processing, Dalton Trans., 50, 12045 (2021). https://doi.org/10.1039/D1DT01862K

*Andrea Albino, Stefano Benci, Matteo Atzori, Laura Chelazzi, Samuele Ciattini, Andrea Taschin, Paolo Bartolini, Alessandro Lunghi, Roberto Righini, Renato Torre, Federico Totti, and Roberta Sessoli, Temperature Dependence of Spin-Phonon Coupling in [VO(acac)₂]: A Computational and Spectroscopic Study, J. Phys. Chem. C 125, 22100-22110 (2021). https://doi.org/10.1021/acs.jpcc.1c06916

*Luana C. de Camargo, Matteo briganti, Francielli S. Santana, Danilo Stinghen, Ronny R. Ribeiro, Giovana G. Nunes, Jaísa F. Soares, Enrico Salvadori, Mario Chiesa, Stefano Benci, Renato Torre, Lorenzo Sorace, Federico Totti, and Roberta Sessoli, Exploring the Organometallic Route to Molecular Spin Qubits: The [CpTi(cot)] Case, Angew. Chem. Int. Ed. 60, 2588-2593 (2021). https://doi.org/10.1002/anie.202009634

*Juan Román-Roche, Fernando Luis, and David Zueco, Photon Condensation and Enhanced Magnetism in Cavity QED, Phys. Rev. Lett. 127, 167201 (2021)  https://arxiv.org/abs/2011.03753

*Marc Roda-Llordes, Carlos González-Ballestero, Adrián Ezequiel Rubio López, María José Martínez-Pérez, Fernando Luis, and Oriol Romero-Isart, Quantum size effects in the magnetic susceptibility of a metallic nanoparticle, Phys. Rev. B 104, L100407 (2021)  https://arxiv.org/abs/2010.14370