Polaron pattern recognition
in correlated oxide surfaces
Subproject P07
The formation of polarons by charge trapping is pervasive in transition metal oxides. Polarons have been widely studied in binary compounds but comparatively much less so in perovskites.
In P07, we aim to combine advanced first-principles approaches with computer-vision and machine-learning techniques to accelerate and automatize the study of polarons and novel polaron effects in transition metal oxides.
We address and provide solutions for static and dynamical polaron properties by implementing ML and computer vision approaches to accelerate the exploration of the multi-polaron configurational space and to extend small polaron dynamics to the nanoscale. We integrate charge state encoding into the atomic features and forecast the dynamic evolution by predicting the occupation matrix. These methodological developments will be integrated in our software Leopolad (Learning of polaron dynamics) based on an equivariant graph neural network framework.
Addressing ML-augmented charge (polaron) dynamics is essential for advancing our understanding of complex materials and phenomena, and for fully leveraging ML-assisted MD. By expanding DFT capabilities with ML algorithms, we aim to extend the simulation of polaron dynamics to the nanoscale. This advancement will enable us to uncover novel effects, such as the dynamical interaction of surface polaron with adsorbates.
The advancement of ML-assisted polaron-MD will significantly contribute to the key methodological developments of the SFB, particularly in predicting multivalence states in oxides.
Expertise
Theoretical and computational modeling of quantum materials, in particular transition metal oxides in bulk phases and surfaces, to predict and interpret novel physical effects and states of matter arising from fundamental quantum interactions: electron-electron correlation, electron-phonon coupling, spin-spin exchange, spin-orbit coupling, to name the most relevant ones. The theoretical research is conducted in strong synergy and cooperation with experimental groups.
Methods:
- Density functional theory, hybrid functionals, GW, BSE
- First principles molecular dynamics
- Effective Hamiltonian
- Diagrammatic quantum Monte Carlo
- Dynamical mean-field theory
- Machine learning and computer vision
Applications:
- Polarons: formation, dynamics, polaron-mediated effects, many-body properties
- Computational surface science: energetics, reconstructions, surface polarons, polarity effects, adsorption and chemical reactions
- Quantum magnetism: all-rank multipolar spin-spin interactions beyond Heisenberg exchange
- Electronic and magnetic phase transitions
Our goals in TACO:
- Accelerated study of polaron properties by integrating molecular dynamics and machine learning methods (kernel-ridge regression, standard and convolutional neural-networks
- Implementation of automated identification of local structures in atomically resolved images using computer vision methods
- Complementing the experimental measurements with extensive first principles modeling of perovskite surfaces.
Team
Associates
Former Members
Publications
2024
Rafsanjani-Abbasi, Ali; Buchner, Florian; Lewis, Faith J.; Puntscher, Lena; Kraushofer, Florian; Sombut, Panukorn; Eder, Moritz; Pavelec, Jiří; Rheinfrank, Erik; Franceschi, Giada; Birschitzky, Viktor; Riva, Michele; Franchini, Cesare; Schmid, Michael; Diebold, Ulrike; Meier, Matthias; Madsen, Georg K. H.; Parkinson, Gareth S.
Digging Its Own Site: Linear Coordination Stabilizes a Pt1/Fe2O3 Single-Atom Catalyst
Journal ArticleOpen AccessIn: ACS Nano, vol. 18, iss. 39, pp. 26920–26927, 2024.
Abstract | Links | BibTeX | Tags: P02, P04, P07, P09
@article{Rafsanjani_2024a,
title = {Digging Its Own Site: Linear Coordination Stabilizes a Pt_{1}/Fe_{2}O_{3} Single-Atom Catalyst},
author = {Ali Rafsanjani-Abbasi and Florian Buchner and Faith J. Lewis and Lena Puntscher and Florian Kraushofer and Panukorn Sombut and Moritz Eder and Jiří Pavelec and Erik Rheinfrank and Giada Franceschi and Viktor Birschitzky and Michele Riva and Cesare Franchini and Michael Schmid and Ulrike Diebold and Matthias Meier and Georg K. H. Madsen and Gareth S. Parkinson},
url = {https://doi.org/10.1021/acsnano.4c08781},
year = {2024},
date = {2024-09-18},
urldate = {2024-09-18},
journal = {ACS Nano},
volume = {18},
issue = {39},
pages = {26920–26927},
abstract = {Determining the local coordination of the active site is a prerequisite for the reliable modeling of single-atom catalysts (SACs). Obtaining such information is difficult on powder-based systems and much emphasis is placed on density functional theory computations based on idealized low-index surfaces of the support. In this work, we investigate how Pt atoms bind to the (11̅02) facet of α-Fe_{2}O_{3}; a common support material in SACs. Using a combination of scanning tunneling microscopy, X-ray photoelectron spectroscopy, and an extensive computational evolutionary search, we find that Pt atoms significantly reconfigure the support lattice to facilitate a pseudolinear coordination to surface oxygen atoms. Despite breaking three surface Fe–O bonds, this geometry is favored by 0.84 eV over the best configuration involving an unperturbed support. We suggest that the linear O–Pt–O configuration is common in reactive Pt-based SAC systems because it balances thermal stability with the ability to adsorb reactants from the gas phase. Moreover, we conclude that extensive structural searches are necessary to determine realistic active site geometries in single-atom catalysis.},
keywords = {P02, P04, P07, P09},
pubstate = {published},
tppubtype = {article}
}

Wang, Chunlei; Sombut, Panukorn; Puntscher, Lena; Ulreich, Manuel; Pavelec, Jiri; Rath, David; Balajka, Jan; Meier, Matthias; Schmid, Michael; Diebold, Ulrike; Franchini, Cesare; Parkinson, Gareth S.
A Multitechnique Study of C2H4 Adsorption on a Model Single-Atom Rh1 Catalyst
Journal ArticleOpen AccessIn: The Journal of Physical Chemistry C, vol. 128, iss. 37, pp. 15404–15411, 2024.
Abstract | Links | BibTeX | Tags: P02, P04, P07
@article{Wang_2024b,
title = {A Multitechnique Study of C_{2}H_{4} Adsorption on a Model Single-Atom Rh_{1} Catalyst},
author = {Chunlei Wang and Panukorn Sombut and Lena Puntscher and Manuel Ulreich and Jiri Pavelec and David Rath and Jan Balajka and Matthias Meier and Michael Schmid and Ulrike Diebold and Cesare Franchini and Gareth S. Parkinson},
url = {https://doi.org/10.1021/acs.jpcc.4c03588},
year = {2024},
date = {2024-09-05},
journal = {The Journal of Physical Chemistry C},
volume = {128},
issue = {37},
pages = {15404–15411},
abstract = {Single-atom catalysts are potentially ideal model systems to investigate structure–function relationships in catalysis if the active sites can be uniquely determined. In this work, we study the interaction of C_{2}H_{4} with a model Rh/Fe_{3}O_{4}(001) catalyst that features 2-, 5-, and 6-fold coordinated Rh adatoms, as well as Rh clusters. Using multiple surface-sensitive techniques in combination with calculations of density functional theory (DFT), we follow the thermal evolution of the system and disentangle the behavior of the different species. C_{2}H_{4} adsorption is strongest at the 2-fold coordinated Rh_{1} with a DFT-determined adsorption energy of −2.26 eV. However, desorption occurs at lower temperatures than expected because the Rh migrates into substitutional sites within the support, where the molecule is more weakly bound. The adsorption energy at the 5-fold coordinated Rh sites is predicated to be −1.49 eV, but the superposition of this signal with that from small Rh clusters and additional heterogeneity leads to a broad C_{2}H_{4} desorption shoulder in TPD above room temperature.},
keywords = {P02, P04, P07},
pubstate = {published},
tppubtype = {article}
}

Tresca, Cesare; Forcella, Pietro Maria; Angeletti, Andrea; Ranalli, Luigi; Franchini, Cesare; Reticcioli, Michele; Profeta, Gianni
Molecular hydrogen in the N-doped LuH3 system as a possible path to superconductivity
Journal ArticleOpen AccessIn: Nature Communications, vol. 15, pp. 7283, 2024.
Abstract | Links | BibTeX | Tags: P07
@article{Tresca2024,
title = {Molecular hydrogen in the N-doped LuH_{3} system as a possible path to superconductivity},
author = {Cesare Tresca and Pietro Maria Forcella and Andrea Angeletti and Luigi Ranalli and Cesare Franchini and Michele Reticcioli and Gianni Profeta},
url = {https://arxiv.org/abs/2308.03619
https://doi.org/10.1038/s41467-024-51348-z},
year = {2024},
date = {2024-08-23},
urldate = {2024-08-23},
journal = {Nature Communications},
volume = {15},
pages = {7283},
abstract = {The discovery of ambient superconductivity would mark an epochal breakthrough long-awaited for over a century, potentially ushering in unprecedented scientific and technological advancements. The recent findings on high-temperature superconducting phases in various hydrides under high pressure have ignited optimism, suggesting that the realization of near-ambient superconductivity might be on the horizon. However, the preparation of hydride samples tends to promote the emergence of various metastable phases, marked by a low level of experimental reproducibility. Identifying these phases through theoretical and computational methods entails formidable challenges, often resulting in controversial outcomes. In this paper, we consider N-doped LuH_{3} as a prototypical complex hydride: By means of machine-learning-accelerated force-field molecular dynamics, we have identified the formation of H_{2} molecules stabilized at ambient pressure by nitrogen impurities. Importantly, we demonstrate that this molecular phase plays a pivotal role in the emergence of a dynamically stable, low-temperature, experimental-ambient-pressure superconductivity. The potential to stabilize hydrogen in molecular form through chemical doping opens up a novel avenue for investigating disordered phases in hydrides and their transport properties under near-ambient conditions.},
keywords = {P07},
pubstate = {published},
tppubtype = {article}
}

Leoni, Luca; Franchini, Cesare
Global sampling of Feynman's diagrams through normalizing flow
Journal ArticleOpen AccessIn: Physical Review Research, vol. 6, iss. 3, pp. 033041, 2024.
Abstract | Links | BibTeX | Tags: P07
@article{PhysRevResearch.6.033041,
title = {Global sampling of Feynman's diagrams through normalizing flow},
author = {Luca Leoni and Cesare Franchini},
url = {https://link.aps.org/doi/10.1103/PhysRevResearch.6.033041},
doi = {10.1103/PhysRevResearch.6.033041},
year = {2024},
date = {2024-07-08},
journal = {Physical Review Research},
volume = {6},
issue = {3},
pages = {033041},
abstract = {Normalizing flows (NF) are powerful generative models with increasing applications in augmenting Monte Carlo algorithms due to their high flexibility and expressiveness. In this work we explore the integration of NF in the diagrammatic Monte Carlo (DMC) method, presenting an architecture designed to sample the intricate multidimensional space of Feynman's diagrams through dimensionality reduction. By decoupling the sampling of diagram order and interaction times, the flow focuses on one interaction at a time. This enables one to construct a general diagram by employing the same unsupervised model iteratively, dressing a zero-order diagram with interactions determined by the previously sampled order. The resulting NF-augmented DMC method is tested on the widely used single-site Holstein polaron model in the entire electron-phonon coupling regime. The obtained data show that the model accurately reproduces the diagram distribution by reducing sample correlation and observables' statistical error, constituting the first example of global sampling strategy for connected Feynman's diagrams in the DMC method},
keywords = {P07},
pubstate = {published},
tppubtype = {article}
}

Birschitzky, Viktor; Sokolovic, Igor; Prezzi, Michael; Palotas, Krisztian; Setvin, Martin; Diebold, Ulrike; Reticcioli, Michele; Franchini, Cesare
Machine learning-based prediction of polaron-vacancy patterns on the TiO2(110) surface
Journal ArticleOpen AccessIn: npj Computational Materials, vol. 10, no. 89, 2024.
Abstract | Links | BibTeX | Tags: P02, P07
@article{Birschitzky_2024a,
title = {Machine learning-based prediction of polaron-vacancy patterns on the TiO_{2}(110) surface},
author = {Viktor Birschitzky and Igor Sokolovic and Michael Prezzi and Krisztian Palotas and Martin Setvin and Ulrike Diebold and Michele Reticcioli and Cesare Franchini},
url = {https://www.nature.com/articles/s41524-024-01289-4},
doi = {https://doi.org/10.1038/s41524-024-01289-4},
year = {2024},
date = {2024-05-06},
urldate = {2024-05-06},
journal = {npj Computational Materials},
volume = {10},
number = {89},
abstract = {The multifaceted physics of oxides is shaped by their composition and the presence of defects, which are often accompanied by the formation of polarons. The simultaneous presence of polarons and defects, and their complex interactions, pose challenges for first-principles simulations and experimental techniques. In this study, we leverage machine learning and a first-principles database to analyze the distribution of surface oxygen vacancies (V_{O}) and induced small polarons on rutile TiO_{2}(110), effectively disentangling the interactions between polarons and defects. By combining neural-network supervised learning and simulated annealing, we elucidate the inhomogeneous VO distribution observed in scanning probe microscopy (SPM). Our approach allows us to understand and predict defective surface patterns at enhanced length scales, identifying the specific role of individual types of defects. Specifically, surface-polaron-stabilizing V_{O}-configurations are identified, which could have consequences for surface reactivity.},
keywords = {P02, P07},
pubstate = {published},
tppubtype = {article}
}

Celiberti, Lorenzo; Mosca, Dario Fiore; Allodi, Giuseppe; Pourovskii, Leonid V.; Tassetti, Anna; Forino, Paola Caterina; Cong, Rong; Garcia, Erick; Tran, Phuong M.; Renzi, Roberto De; Woodward, Patrick M.; Mitrović, Vesna F.; Sanna, Samuele; Franchini, Cesare
Spin-orbital Jahn-Teller bipolarons
Journal ArticleOpen AccessIn: Nature Communications, vol. 15, no. 2429, 2024.
Abstract | Links | BibTeX | Tags: P07
@article{Celiberti2024,
title = {Spin-orbital Jahn-Teller bipolarons},
author = {Lorenzo Celiberti and Dario Fiore Mosca and Giuseppe Allodi and Leonid V. Pourovskii and Anna Tassetti and Paola Caterina Forino and Rong Cong and Erick Garcia and Phuong M. Tran and Roberto De Renzi and Patrick M. Woodward and Vesna F. Mitrović and Samuele Sanna and Cesare Franchini},
url = {https://doi.org/10.1038/s41467-024-46621-0},
doi = {10.1038/s41467-024-46621-0},
year = {2024},
date = {2024-03-18},
urldate = {2024-03-18},
journal = {Nature Communications},
volume = {15},
number = {2429},
abstract = {Polarons and spin-orbit (SO) coupling are distinct quantum effects that play a critical role in charge transport and spin-orbitronics. Polarons originate from strong electron-phonon interaction and are ubiquitous in polarizable materials featuring electron localization, in particular 3d transition metal oxides (TMOs). On the other hand, the relativistic coupling between the spin and orbital angular momentum is notable in lattices with heavy atoms and develops in 5d TMOs, where electrons are spatially delocalized. Here we combine ab initio calculations and magnetic measurements to show that these two seemingly mutually exclusive interactions are entangled in the electron-doped SO-coupled Mott insulator Ba_{2}Na_{1−x}Ca_{x}OsO_{6} (0 < x < 1), unveiling the formation of spin-orbital bipolarons. Polaron charge trapping, favoured by the Jahn-Teller lattice activity, converts the Os 5d^{1} spin-orbital J_{eff} = 3/2 levels, characteristic of the parent compound Ba_{2}NaOsO_{6} (BNOO), into a bipolaron 5d^{2} J_{eff} = 2 manifold, leading to the coexistence of different J-effective states in a single-phase material. The gradual increase of bipolarons with increasing doping creates robust in-gap states that prevents the transition to a metal phase even at ultrahigh doping, thus preserving the Mott gap across the entire doping range from d^{1} BNOO to d^{2} Ba_{2}CaOsO_{6} (BCOO).},
keywords = {P07},
pubstate = {published},
tppubtype = {article}
}
Wang, Chunlei; Sombut, Panukorn; Puntscher, Lena; Jakub, Zdenek; Meier, Matthias; Pavelec, Jiri; Bliem, Roland; Schmid, Michael; Diebold, Ulrike; Franchini, Cesare; Parkinson, Gareth S.
CO‐Induced Dimer Decay Responsible for Gem‐Dicarbonyl Formation on a Model Single‐Atom Catalyst
Journal ArticleOpen AccessIn PressIn: Angewandte Chemie - International Edition, no. e202317347, 2024, ISSN: 1521-3773.
Abstract | Links | BibTeX | Tags: P02, P04, P07
@article{Wang2024,
title = {CO‐Induced Dimer Decay Responsible for Gem‐Dicarbonyl Formation on a Model Single‐Atom Catalyst},
author = {Chunlei Wang and Panukorn Sombut and Lena Puntscher and Zdenek Jakub and Matthias Meier and Jiri Pavelec and Roland Bliem and Michael Schmid and Ulrike Diebold and Cesare Franchini and Gareth S. Parkinson},
doi = {10.1002/anie.202317347},
issn = {1521-3773},
year = {2024},
date = {2024-01-31},
journal = {Angewandte Chemie - International Edition},
number = {e202317347},
publisher = {Wiley},
abstract = {The ability to coordinate multiple reactants at the same active site is important for the wide-spread applicability of single-atom catalysis. Model catalysts are ideal to investigate the link between active site geometry and reactant binding, because the structure of single-crystal surfaces can be precisely determined, the adsorbates imaged by scanning tunneling microscopy (STM), and direct comparisons made to density functional theory. In this study, we follow the evolution of Rh_{1} adatoms and minority Rh_{2} dimers on Fe_{3}O_{4}(001) during exposure to CO using time-lapse STM at room temperature. CO adsorption at Rh_{1} sites results exclusively in stable Rh_{1}CO monocarbonyls, because the Rh atom adapts its coordination to create a stable pseudo-square planar environment. Rh_{1}(CO)_{2} gem-dicarbonyl species are also observed, but these form exclusively through the breakup of Rh_{2} dimers via an unstable Rh_{2}(CO)_{3} intermediate. Overall, our results illustrate how minority species invisible to area-averaging spectra can play an important role in catalytic systems, and show that the decomposition of dimers or small clusters can be an avenue to produce reactive, metastable configurations in single-atom catalysis.},
keywords = {P02, P04, P07},
pubstate = {published},
tppubtype = {article}
}
2023
Puntscher, Lena; Sombut, Panukorn; Wang, Chunlei; Ulreich, Manuel; Pavelec, Jiri; Rafsanjani-Abbasi, Ali; Meier, Matthias; Lagin, Adam; Setvin, Martin; Diebold, Ulrike; Franchini, Cesare; Schmid, Michael; Parkinson, Gareth S.
A Multitechnique Study of C2H4 Adsorption on Fe3O4(001)
Journal ArticleOpen AccessIn: Journal of Physical Chemistry C, vol. 127, iss. 37, pp. 18378–18388, 2023.
Abstract | Links | BibTeX | Tags: P02, P04, P07
@article{Puntscher2023,
title = {A Multitechnique Study of C_{2}H_{4} Adsorption on Fe_{3}O_{4}(001)},
author = {Lena Puntscher and Panukorn Sombut and Chunlei Wang and Manuel Ulreich and Jiri Pavelec and Ali Rafsanjani-Abbasi and Matthias Meier and Adam Lagin and Martin Setvin and Ulrike Diebold and Cesare Franchini and Michael Schmid and Gareth S. Parkinson},
doi = {10.1021/acs.jpcc.3c03684},
year = {2023},
date = {2023-09-11},
urldate = {2023-09-11},
journal = {Journal of Physical Chemistry C},
volume = {127},
issue = {37},
pages = {18378--18388},
publisher = {American Chemical Society (ACS)},
abstract = {The adsorption/desorption of ethene (C_{2}H_{4}), also commonly known as ethylene, on Fe_{3}O_{4}(001) was studied under ultrahigh vacuum conditions using temperature-programmed desorption (TPD), scanning tunneling microscopy, X-ray photoelectron spectroscopy, and density functional theory (DFT)-based computations. To interpret the TPD data, we have employed a new analysis method based on equilibrium thermodynamics. C_{2}H_{4} adsorbs intact at all coverages and interacts most strongly with surface defects such as antiphase domain boundaries and Fe adatoms. On the regular surface, C_{2}H_{4} binds atop surface Fe sites up to a coverage of 2 molecules per (√2 × √2)R45° unit cell, with every second Fe occupied. A desorption energy of 0.36 eV is determined by analysis of the TPD spectra at this coverage, which is approximately 0.1–0.2 eV lower than the value calculated by DFT + U with van der Waals corrections. Additional molecules are accommodated in between the Fe rows. These are stabilized by attractive interactions with the molecules adsorbed at Fe sites. The total capacity of the surface for C_{2}H_{4} adsorption is found to be close to 4 molecules per (√2 × √2)R45° unit cell.},
keywords = {P02, P04, P07},
pubstate = {published},
tppubtype = {article}
}

Kraushofer, Florian; Meier, Matthias; Jakub, Zdeněk; Hütner, Johanna; Balajka, Jan; Hulva, Jan; Schmid, Michael; Franchini, Cesare; Diebold, Ulrike; Parkinson, Gareth S.
Oxygen-Terminated (1 × 1) Reconstruction of Reduced Magnetite Fe3O4(111)
Journal ArticleOpen AccessIn: The Journal of Physical Chemistry Letters, vol. 14, no. 13, pp. 3258–3265, 2023.
Abstract | Links | BibTeX | Tags: P02, P04, P07
@article{Kraushofer2023,
title = {Oxygen-Terminated (1 × 1) Reconstruction of Reduced Magnetite Fe_{3}O_{4}(111)},
author = {Florian Kraushofer and Matthias Meier and Zdeněk Jakub and Johanna Hütner and Jan Balajka and Jan Hulva and Michael Schmid and Cesare Franchini and Ulrike Diebold and Gareth S. Parkinson},
doi = {10.1021/acs.jpclett.3c00281},
year = {2023},
date = {2023-03-28},
urldate = {2023-03-28},
journal = {The Journal of Physical Chemistry Letters},
volume = {14},
number = {13},
pages = {3258--3265},
publisher = {American Chemical Society (ACS)},
abstract = {The (111) facet of magnetite (Fe_{3}O_{4}) has been studied extensively by experimental and theoretical methods, but controversy remains regarding the structure of its low-energy surface terminations. Using density functional theory (DFT) computations, we demonstrate three reconstructions that are more favorable than the accepted Feoct2 termination under reducing conditions. All three structures change the coordination of iron in the kagome Feoct1 layer to be tetrahedral. With atomically resolved microscopy techniques, we show that the termination that coexists with the Fetet1 termination consists of tetrahedral iron capped by 3-fold coordinated oxygen atoms. This structure explains the inert nature of the reduced patches.},
keywords = {P02, P04, P07},
pubstate = {published},
tppubtype = {article}
}

Verdi, Carla; Ranalli, Luigi; Franchini, Cesare; Kresse, Georg
Journal ArticleIn: Physical Review Materials, vol. 7, no. 3, pp. l030801, 2023.
Abstract | Links | BibTeX | Tags: P03, P07
@article{Verdi2023,
title = {Quantum paraelectricity and structural phase transitions in strontium titanate beyond density functional theory},
author = {Carla Verdi and Luigi Ranalli and Cesare Franchini and Georg Kresse},
doi = {10.1103/physrevmaterials.7.l030801},
year = {2023},
date = {2023-03-16},
journal = {Physical Review Materials},
volume = {7},
number = {3},
pages = {l030801},
publisher = {American Physical Society (APS)},
abstract = {We demonstrate an approach for calculating temperature-dependent quantum and anharmonic effects with beyond density-functional theory accuracy. By combining machine-learned potentials and the stochastic self-consistent harmonic approximation, we investigate the cubic to tetragonal transition in strontium titanate and show that the paraelectric phase is stabilized by anharmonic quantum fluctuations. We find that a quantitative understanding of the quantum paraelectric behavior requires a higher-level treatment of electronic correlation effects via the random phase approximation. This approach enables detailed studies of emergent properties in strongly anharmonic materials beyond density-functional theory.},
keywords = {P03, P07},
pubstate = {published},
tppubtype = {article}
}
