Materials Science · Cross-listed from cs.AR
YAP+: Pad-Layout-Aware Yield Modeling and Simulation for Hybrid Bonding
Zhichao Chen and Puneet Gupta
Three-dimensional (3D) integration continues to advance Moore's Law by facilitating dense interconnects and enabling multi-tier system architectures. Among the various integration approaches, Cu-Cu hybrid bonding has emerged as a leading solution for achieving high interconnect density in chiplet integration. In this work, we present YAP+, a yield modeling framework specifically tailored for wafer-to-wafer (W2W) and die-to-wafer (D2W) hybrid bonding processes. YAP+ incorporates a comprehensive set of yield-impacting failure mechanisms, including overlay misalignment, particle defects, Cu recess variations, surface roughness, and Cu pad density. Furthermore, YAP+ supports pad layout-aware yield analysis, considering critical, redundant, and dummy pads across arbitrary 2D physical layout patterns. To support practical evaluation, we developed an open-source yield simulator, demonstrating that our near-analytical model matches simulation accuracy while achieving over 1,000x speedup in runtime. This performance makes YAP+ a valuable tool for co-optimizing packaging technologies, assembly design rules, and system-level design strategies. Beyond W2W-D2W comparisons, we leverage YAP+ to investigate the impact of pad layout patterns, bonding pitch, and pad ratios across different pad types, and explore the benefits of strategically placing redundant pad replicas.
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Materials Science · Cross-listed from physics.chem-ph
Foundation Models for Discovery and Exploration in Chemical Space
Alexius Wadell, Anoushka Bhutani, Victor Azumah et al. (+26 more)
Accurate prediction of atomistic, thermodynamic, and kinetic properties from molecular structures underpins materials innovation. Existing computational and experimental approaches lack the scalability required to navigate chemical space efficiently. Scientific foundation models trained on large unlabelled
datasets offer a path towards navigating chemical space across application domains. Here, we develop MIST, a family of molecular foundation models with up to an order of magnitude more parameters and data than prior works. Trained using a novel tokenizer, Smirk, which comprehensively captures
nuclear, electronic, and
geometric information, MIST learns a diverse range of molecules. MIST models have been fine-tuned to predict more than 400 structure-property relationships and have been shown to match or exceed state-of-the-art performance across diverse
benchmarks, from physiology to electrochemistry. We demonstrate the ability of these models to solve real-world problems across chemical space from multiobjective electrolyte solvent screening to stereochemical
reasoning for organometallics and mixture property prediction. The clearest demonstration of a foundation model is its ability to solve problems that were neither explicit targets of training nor central to the intentions of its developers. We identify olfactory perception mapping as such a problem, and show that MIST accurately predicted scent profiles and learned a hierarchical representation of olfactory space consistent with
hyperbolic geometry. We formulated hyperparameter aware
Bayesian neural scaling laws which eliminate the need for hyperparameter sweeps at every scale, making training large compute-optimal models feasible on a limited compute budget. The methods and findings presented here represent a significant step towards accelerating materials discovery, design, and optimization using foundation models.
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All authors Alexius Wadell, Anoushka Bhutani, Victor Azumah, Austin R. Ellis-Mohr, Andrew J. Stier, Kareem Hegazy, Alexander Brace, Hancheng Zhao, Celia Kelly, Anuj K. Nayak, Yuhan Chen, Dimitrios Simatos, Hongyi Lin, Murali Emani, Venkatram Vishwanath, Kevin Gering, Melisa Alkan, Tom Gibbs, Jack Wells, Wesley W. Qian, Richard C. Gerkin, Benjamin Amorelli, Alexander B. Wiltschko, Lav R. Varshney, Bharath Ramsundar, Karthik Duraisamy, Michael W. Mahoney, Arvind Ramanathan, Venkatasubramanian Viswanathan
Materials Science
Microstructural Insights into Fast Ion Transport in Solid Electrolytes via Multiscale Modeling
Yongliang Ou, Lena Scholz, Sanath Keshav et al. (+7 more)
Improving solid electrolytes is critical for high-performance all-solid-state batteries, yet the microstructural features that enable fast ion transport remain poorly understood. Here, we use multiscale modeling to resolve polycrystalline ion transport from atomic-scale hopping at grain boundaries to continuum-scale percolation, thereby providing insights into realistic solid-electrolyte microstructures. Accurate lightweight machine-learning potentials – developed via closed-loop active learning for exemplar argyrodites Li$_6$PS$_5$X, X $\in$ {Cl, Br, I} – are employed to integrate molecular dynamics with finite element simulations. We find that
diffusion barriers of the anion-ordered bulk scale linearly with anion radius. Grain boundaries exert opposite effects depending on the bulk: enhancing ion
diffusion in low-diffusivity phases but suppressing it in fast-diffusing ones. Li$_6$PS$_5$I exhibits non-Arrhenius transport behavior consistent with experimental observations. Our results clarify the pivotal role of grain boundaries in ion transport and guide a priori microstructural design of advanced solid electrolytes.
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All authors Yongliang Ou, Lena Scholz, Sanath Keshav, Yuji Ikeda, Marvin Kraft, Sergiy Divinski, Rafael Gómez-Bombarelli, Wolfgang G. Zeier, Felix Fritzen, Blazej Grabowski
Materials Science
Anisotropic-Strain Control of The Magnetic Structure in Mn\textsubscript{3}GaN
Roman Malyshev, Ingeborg-Helene Svenum, Sverre M. Selbach et al. (+1 more)
A first principles study is conducted to explore the changes in the
magnetic structure of Mn\textsubscript{3}GaN under anisotropic biaxial strain. Mn\textsubscript{3}GaN is an antiperovskite with a structure similar to that of an ideal cubic perovskite. Several manganese nitride antiperovskites including Mn\textsubscript{3}GaN were reported to have a frustrated noncollinear
antiferromagnetic structure. Successful electric switching of its
magnetic structure has been reported. Furthermore, despite a cubic
lattice symmetry, the
magnetic symmetry is rhombohedral, allowing a piezomagnetic response. Tensile biaxial strain has been shown to produce a net
magnetic moment by inducing in-plane
spin canting. Compressive biaxial strain has been used to induce a
spin-polarized ferro- or ferrimagnetic phase. In this study, anisotropic strain in the (001) plane is applied, outlining a
magnetic phase diagram that can predict the properties when growing Mn\textsubscript{3}GaN thin films on noncubic substrates. The
lattice vectors along the a and b crystallographic axes are strained by -5% to 5% in percentwise increments in all permutations. An extensive phase diagram is mapped, revealing multiple combinations of strain applied to the two
lattice vectors that result in a ferro- or ferrimagnetic transition. Unlike previous results, not only strictly compressive strain on both
lattice vectors, but combinations of tensile and compressive strain, as well as uniaxial strain, are seen producing the
magnetic phase transitions. Furthermore, while biquadratic strain was seen producing a net moment in the [110] direction under tensile strain and [\bar{1}\bar{1}0] under compressive strain, anisotropic strain allows tuning the direction of the net magnetization.
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All authors Roman Malyshev, Ingeborg-Helene Svenum, Sverre M. Selbach, Thomas Tybell
Materials Science · Cross-listed from cond-mat.str-el
Probing Hidden Symmetry and Altermagnetism with Sub-Picometer Sensitivity via Nonlinear Transport
Subin Mali, Yufei Zhao, Yu Wang et al. (+8 more)
X-ray and
neutron diffraction are foundational tools for determining
crystal structures, but their resolution limits can lead to misassignments, especially in materials with subtle distortions or competing phases. Here, we demonstrate the use of nonlinear transport as a complementary approach to uncover hidden
crystal symmetries, using the strongly correlated Ca$_3$Ru$_2$O$_7$ as a case study. Below 48 K (T$_S$), where the
magnetic moments of the
antiferromagnetic phase reorient from the a- to the b-axis, leading to a pseudogap opening, our measurements, with support of DFT, reveal a previously overlooked lower-
symmetry phase. This is manifested by the emergence of longitudinal nonlinear resistance (NLR) along the b-axis below T$_S$, providing direct evidence of combined translational and time-reversal
symmetry breaking. This response also suggests a transformation from a conventional antiferromagnet into an altermagnet. The lower-
symmetry phase arises from a subtle
lattice distortion (~0.1 pm) associated with the
magnetic transition at T$_S$, below the detection limit of conventional diffraction. Moreover, this NLR below T$_S$ is accompanied by a nonlinear
Hall effect, both of which are enhanced by the large
quantum metric associated with Weyl chains near the
Fermi surface. Our findings demonstrate nonlinear transport as a sensitive probe of hidden
symmetry breaking and altermagnetism, complementing and extending beyond the reach of traditional diffraction and spectroscopic techniques.
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All authors Subin Mali, Yufei Zhao, Yu Wang, Saugata Sarker, Yangyang Chen, Zixuan Li, Jun Zhu, Ying Liu, Venkatraman Gopalan, Binghai Yan, Zhiqiang Mao
Materials Science · Cross-listed from cond-mat.mes-hall
A Hall viscosity for skyrmion via magnon interaction
Bom Soo Kim
We identify a
Hall viscosity term directly from the Dzyaloshinskii-Moriya interaction (DMI), that breaks parity
symmetry, in the skyrmion motion of insulating magnets by time-averaging the
magnon contribution to all orders. The viscosity term is proportional to the skyrmion charge. Skyrmion
Hall angle shows significant dependence on the skyrmion shape and size, the ratio of exchange over DMI parameters, while roughly independent of the Gilbert damping parameter. The
Hall angles have the same magnitude for opposite skyrmion charges. We speculate a velocity-dependent
Hall viscosity contribution to seek asymmetric
Hall angles for the opposite charges.
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Materials Science
First-Principles Investigation of the Physical and Thermoelectric Properties of Chalcogenide Compounds for Waste-Heat Recovery
Md Hasan Shahriar Rifat, Tanvir Khan and K.M. Mehedi Hassan
Improving energy efficiency by recovering waste heat and providing thermal protection is of high technological importance. This work investigates the chalcogenide compounds CdGa2Te4 and ZnGa2Te4 using density functional theory and BoltzTraP2 calculations. Both materials are dynamically stable, brittle, and elastically anisotropic. Electronic structure calculations show direct band gaps that range from 1.0 to 2.2 electronvolt. Carrier effective masses are favorable, with CdGa2Te4 showing light electrons equal to 0.21 times the free electron mass and ZnGa2Te4 showing moderately heavy carriers equal to 0.39 times the free electron mass. Thermoelectric transport calculations yield large Seebeck coefficients of about 108 to 119 microvolt per kelvin. The thermoelectric figure of merit ZT increases from about 0.4 at 50 K to about 0.78 at 800 kelvin, indicating promising thermoelectric performance. For thermal barrier coating applications, both compounds combine ultralow
lattice thermal conductivity with moderate melting points around 790 to 850 K and small thermal expansion coefficients, which helps resist thermal stress. Overall, CdGa2Te4 and ZnGa2Te4 are multifunctional materials suitable for efficient waste heat recovery and durable thermal barrier operation below 900 K.
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Materials Science
Oxidation State Dynamics and Emerging Patterns in Magnetite
Emre Gürsoy, Gregor B. Vonbun-Feldbauer and Robert H. Meißner
Magnetite is an important mineral with many interesting applications related to its
magnetic, electrical and thermal properties. Typically studied by electronic structure calculations, these methods are unable to capture the complex ion dynamics at relevant temperatures, time and length scales. We present a hybrid Monte Carlo/Molecular Dynamics (MC/MD) method based on iron oxidation state exchange for accurate atomistic modelling of bulk magnetite, magnetite surfaces and nanoparticles that captures the complex ionic dynamics. By comparing oxidation state patterns with those obtained from density functional theory, we confirmed the accuracy of our approach.
Lattice distortions leading to the stabilisation of excess charges and a critical surface thickness at which the oxidation states transition from ordered to disordered were observed. This simple yet efficient approach paves the way for elucidating aspects of oxidation state ordering of inverse spinel structures in general and battery materials in particular.
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Materials Science
Benchmarking 34 OpenKIM Nickel Potentials with an Emphasis on Surfaces and Extended Defects
Matthew Thoms, Hao Sun and Laurent Karim Béland
We present an automated benchmarking suite for face-centered-cubic (FCC) nickel that evaluates 47 quantitative metrics spanning both standard tests (equation of state, elastic constants, surface energies and
phonons) and application-specific scenarios such as defect formation and migration, grain boundaries, step edges, close-range interactions, and vacancy cluster energetics. Using this framework, we assess 34 interatomic potentials from the OpenKIM repository, including pairwise, embedded-atom, modified-embedded-atom, angular-dependent, and spectral neighbor analysis potentials (SNAP). Results are compared against ab initio
benchmarks compiled from the literature. Most potentials accurately reproduce
lattice parameters, elastic constants, and surface energies, whereas predictive accuracy degrades for migration barriers and short-range compression. Principal-component analysis identifies correlated property groups and a partially orthogonal component associated with migration and short-range physics, revealing Pareto trade-offs between accuracy domains. SNAP models occupy the lowest-error frontier, although several embedded-atom potentials remain competitive across many metrics. The framework provides a reproducible baseline for potential selection, highlights systematic limitations across formalisms, and supports benchmarking-in-the-loop strategies for developing next-generation machine-learning potentials for Ni and Ni-based
alloys.
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Materials Science
SimplySQS: An Automated and Reproducible Workflow for Special Quasirandom Structure Generation with ATAT
Miroslav Lebeda, Jan Drahokoupil, Petr Vlčák et al. (+2 more)
The special quasirandom structure (SQS) method is widely used for modeling disordered materials under periodic boundary conditions, with the ATAT mcsqs module being one of the most established implementations. However, SQS generation with mcsqs typically relies on manual preparation of input files, ad hoc execution scripts, and post-processing steps, which introduces user-dependent errors and limits reproducibility. Here, we present SimplySQS (https://simplysqs.com), an automated and reproducible workflow for SQS generation that is delivered through an online, interactive interface. SimplySQS guides users through structure import, compositional and supercell definition, and cluster parameter selection, while automatically generating all required ATAT input files and a single all-in-one execution script that encapsulates the complete search process. By standardizing input preparation, execution, and output analysis, the framework minimizes errors associated with manual file handling and enables consistent reproducibility of SQS searches. The workflow is demonstrated on the Pb1-xSrxTiO3 (PSTO, including PbTiO3 (PTO) and SrTiO3 (STO)) perovskite system. SQSs spanning the entire concentration range were generated using a single automated bash script produced by SimplySQS, after which all resulting structures were subjected to geometry optimization using a universal machine-learning interatomic potential (MACE MATPES-r2SCAN-0). This approach reliably reproduced the experimentally observed cubic-to-tetragonal transition near x = 0.5, with
lattice parameters deviating by less than 1 % in the cubic region (x > 0.5) and less than 4 % in the tetragonal region (x < 0.5). Overall, SimplySQS transforms SQS generation with ATAT into an intuitive, reproducible, and systematic framework for modeling disordered materials.
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All authors Miroslav Lebeda, Jan Drahokoupil, Petr Vlčák, Šimon Svoboda, Axel van de Walle
Materials Science
XDXD: End-to-end crystal structure determination with low resolution X-ray diffraction
Jiale Zhao, Cong Liu, Yuxuan Zhang et al. (+4 more)
Determining
crystal structures from X-ray diffraction data is fundamental across diverse scientific fields, yet remains a significant challenge when data is limited to low resolution. While recent deep learning models have made breakthroughs in solving the crystallographic phase problem, the resulting low-resolution electron density maps are often ambiguous and difficult to interpret. To overcome this critical bottleneck, we introduce XDXD, to our knowledge, the first end-to-end deep learning framework to determine a complete atomic model directly from low-resolution single-
crystal X-ray diffraction data. Our
diffusion-based generative model bypasses the need for manual map interpretation, producing chemically plausible
crystal structures conditioned on the diffraction pattern. We demonstrate that XDXD achieves a 70.4% match rate for structures with data limited to 2.0~Å resolution, with a root-mean-square error (RMSE) below 0.05. Evaluated on a
benchmark of 24,000 experimental structures, our model proves to be robust and accurate. Furthermore, a case study on small peptides highlights the model's potential for extension to more complex systems, paving the way for automated structure solution in previously intractable cases.
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All authors Jiale Zhao, Cong Liu, Yuxuan Zhang, Chengyue Gong, Zhenyi Zhang, Shifeng Jin, Zhenyu Liu
Materials Science · Cross-listed from cond-mat.str-el
Mott vs Kondo: Influence of Various Density Functional Based Methods on the Ce Isostructural Phase Transition Mechanism
Brenden W. Hamilton, Alexander R. Muñoz, Travis E. Jones et al. (+1 more)
The cerium iso-structural phase transition (gamma to alpha) is dominated by f-electron localization changes that results in a
magnetic ordering change and a volume collapse. Generally, these physics are difficult to capture with ab initio and first principles methods. However, previous works have shown various methods to be successful in predicting at least some of the physics of the gamma to alpha phase transition. Therefore, here, we perform a broad survey of density functional based methods across three levels of theory and types of functions (GGA, MetaGGA, and Hybrid functionals) and compare the results, focusing on hydrostatic compression across the phase boundary at zero Kelvin. For the methods that best reproduce experimental results, we directly probe the predicted mechanisms and frame the results in the Mott/Kondo debate, assessing how the underlying methods and assumptions of different functionals can assess the physical drivers in the phase transition, providing insight into the governing dynamics of this unique phase transition.
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All authors Brenden W. Hamilton, Alexander R. Muñoz, Travis E. Jones, Benjamin T. Nebgen
Materials Science
Hydrogenated Aluminum Doped Zinc Oxide as Highly Transparent and Passivating Indium-Free Recombination Junction for TOPCon-Based Bottom Cell
Gökhan Alt{\i}ner, Jons Bolding, Yiğit Mert Kaplan et al. (+4 more)
Tandem
solar cells offer a promising alternative to exceed the efficiency limits of single-junction silicon photovoltaics, yet they require high-performance recombination junctions that are transparent, passivating, and electrically efficient. Indium tin
oxide (ITO), which is conventionally used as a recombination junction material, faces challenges related to indium scarcity and sputter-induced damage. This work investigates hydrogenated aluminum-doped zinc
oxide (AZO:H) deposited by spatial atomic layer deposition (s-ALD) as a viable indiumfree alternative for TOPCon-based bottom
cells. The deposited AZO:H films demonstrate excellent transparency, exceeding 90% in the 380-1200 nm wavelength range. When applied to n-TOPCon surfaces with an AlOx capping layer, the stack achieves an outstanding passivation quality, indicated by implied open-
circuit voltage (iVoc) values up to 734 mV after annealing. The AlOx capping layer proved crucial for enhancing thermal stability by preventing hydrogen effusion at higher temperatures. While the contact resistivity was high for the 20 nm thick films tested, the combination of superior optical and passivation properties establishes spatial ALD-deposited AZO:H as a highly promising material for creating efficient and indiumfree recombination junctions in next-generation tandem
solar cells.
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All authors Gökhan Alt{\i}ner, Jons Bolding, Yiğit Mert Kaplan, Floor Souren, Hindrik de Vries, Raşit Turan, Hisham Nasser
Materials Science
Broad-Range Tuning of Ferroelectric Switching of LaxBi1-xFeO3 Epitaxial Films via Digital Doping using Off-Axis Co-Sputtering
Katelyn Lazareno, Christopher Chae, Becky Haight et al. (+7 more)
To investigate the scope of ferroelectric behavior in La-substituted BiFeO3 films, LaxBi1-xFeO3 epitaxial films were synthesized using off-axis co-sputtering on SrTiO3(001) and DyScO3(110) substrates with a SrRuO3 bottom electrode layer. A digital-doping deposition method was used to enable precise control and continuous tuning of La concentration in high-quality LaxBi1-xFeO3 films across a wide range of x = 0.05-0.60, which was systematically investigated using piezoresponse force microscopy. Robust and reversible out-of-plane ferroelectric switching has been observed up to x = 0.35, while films with x $\geq$ 0.37 exhibit no measurable ferroelectric behavior, indicating a sharp ferroelectric-to-paraelectric phase transition between x = 0.35 and 0.37. This represents the highest reported La concentration in LaxBi1-xFeO3 films that retains ferroelectric ordering, highlighting opportunities to engineer ferroelectric and multiferroic properties in complex
oxide heterostructures.
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All authors Katelyn Lazareno, Christopher Chae, Becky Haight, Shams Jabin, Rachel Steinhardt, John J. Plombon, Siddharth Rajan, Patrick M. Woodward, Jinwoo Hwang, Fengyuan Yang
Materials Science
Machine learning method to determine concentrations of structural defects in irradiated materials
Landon Johnson, Walter Malone, Jason Rizk et al. (+4 more)
The formation and subsequent growth of structural defects in an irradiated material can strongly influence the material's performance in technological and industrial applications. Predicting how the growth of defects affects material performance is therefore a pressing problem in materials science. One common computational approach that is used to examine defect growth is cluster dynamics, a method which employs a system of mean-field rate equations to track the time
evolution of concentrations of individual defect types. However, the computational complexity of performing cluster dynamics can limit its practical implementation, specifically in the context of exploring a broad set of physical conditions corresponding to, for example, different temperatures and pressures. Here, we present a machine learning approach to circumvent the computational challenges of performing cluster dynamics while maintaining high accuracy in the prediction of defect concentrations. The method is illustrated on the
nuclear material uranium nitride but is broadly applicable to other materials. The developed data-driven method is shown to accurately capture complex correlations between material properties, temperature, irradiation conditions, and the concentration of defects.
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All authors Landon Johnson, Walter Malone, Jason Rizk, Renai Chen, Tammie Gibson, Michael W. D. Cooper, Galen T. Craven
Materials Science
Design and theory of switchable linear magnetoelectricity by ferroelectricity in Type-I multiferroics
Hui-Min Zhang, Cheng-Ao Ji, Tong Zhu et al. (+5 more)
We present a comprehensive theoretical investigation of magnetoelectric (ME) coupling mechanisms in 19 altermagnetic and 4 ferrimagnetic Type-I multiferroics using electronic band structure calculations with
spin-orbit coupling, a first-principles ME response framework, and
spin-space-group theory analysis. We formulate a universal scheme for realizing nonvolatile ME coupling in Type-I multiferroics, where two distinct pathways emerge, each dictated by
spin-space
symmetry. The first pathway is associated with switching of the
spin splitting or the now familiar
spin-momentum locking in reciprocal space, characteristic of some altermagnetic mul-tiferroics that exhibit coexisting antiferromagnetism and ferroelectricity. The second pathway involves real-space magnetization switching via electric polarization reversal, characterized by switchable components of the linear ME tensor, despite the traditionally weak coupling in Type-I systems due to the independent origins of magnetism and ferroelectricity. We demonstrate that these two intrinsic ME coupling mechanisms are mutually exclusive and propose thermodynami-cally stable compounds for experimentation. Our findings establish general design principles for controlling robust nonvolatile ME effects in multiferroic materials.
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All authors Hui-Min Zhang, Cheng-Ao Ji, Tong Zhu, Hongjun Xiang, Hiroshi Kageyama, Shuai Dong, James M. Rondinelli, Xue-Zeng Lu
Materials Science
Sub-unit cell engineering of CrVO$_3$ superlattice thin films
Claudio Bellani, Simon Mellaerts, Wei-Fan Hsu et al. (+13 more)
Ordered corundum
oxides introduce new prospects in the field of functional
oxides thin films, complementing the more widely studied class of ABO$_3$ perovskites. In this work, we take advantage of the layer-by-layer growth regime to fabricate epitaxial CrVO$_3$ superlattice thin films with atomic-scale accuracy on the periodic arrangement of Cr and V layers. By means of X-ray diffraction, scanning transmission electron microscopy and Raman spectroscopy, we confirm the thickness control in the sub-unit
cell scale, alternating 3, 2 or 1 single atomic layers of Cr$_2$O$_3$ and V$_2$O$_3$. For the first time, we stabilize the ilmenite phase of CrVO$_3$ (space group R-3) and compare the functional properties of the thin film with those calculated by density functional theory. This novel approach to the growth of ordered corundum
oxides opens the path towards the stabilization of new complex
oxides with tailored properties by varying the composition and the superlattice period, ultimately broadening the family of functional rhombohedral
oxides.
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All authors Claudio Bellani, Simon Mellaerts, Wei-Fan Hsu, Koen Schouteden, Alberto Binetti, Arno Annys, Zezhong Zhang, Nicolas Gauquelin, Johan Verbeeck, Jesús López-Sánchez, Adolfo del Campo, Soon-Gil Jung, Tuson Park, Michel Houssa, Jean-Pierre Locquet, Jin Won Seo
Materials Science
On chaotic regimes of conductivity behavior in the tight-binding approximation
A.Ya. Maltsev
We investigate the probability of detecting the most nontrivial conductivity behavior regimes in metals whose electron spectrum is described by the tight-binding approximation. These regimes are associated with the emergence of highly complex electron trajectories on the
Fermi surface and correspond to a nontrivial (scaling) behavior of the conductivity tensor in strong
magnetic fields. The geometry of such trajectories, as well as the corresponding conductivity regimes, have been well studied theoretically; however, they have not yet been observed experimentally. The results of our study allow us, in particular, to estimate the probability of their occurrence and to indicate the conditions for their possible detection for a wide class of conductors.
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