Tootfinder

Continuum theory for topological phase transitions in exciton systems
Xiaochan Cai, Armando Consiglio, Domenico Di Sante, Ronny Thomale, Werner Hanke
https://arxiv.org/abs/2509.22274

Continuum theory for topological phase transitions in exciton systems
An effective continuum theory is constructed for the topological phase transition of excitons in quasi-two-dimensional systems. These topological excitons crucially determine the optoelectronic properties, because of their larger binding energies in 2D as well as their topologically enhanced exciton transport. The core idea of this letter is, that the essential physics determining the topological invariants across the phase transition is localized near $N$-fold band-crossing points (BCPs) in th…

SourceSplice: Source Selection for Machine Learning Tasks
Ambarish Singh, Romila Pradhan
https://arxiv.org/abs/2507.22186 https://arxiv.org/pdf/2507.22186

SourceSplice: Source Selection for Machine Learning Tasks
Data quality plays a pivotal role in the predictive performance of machine learning (ML) tasks - a challenge amplified by the deluge of data sources available in modern organizations.Prior work in data discovery largely focus on metadata matching, semantic similarity or identifying tables that should be joined to answer a particular query, but do not consider source quality for high performance of the downstream ML task.This paper addresses the problem of determining the best subset of data sou…

Topological photonics in nanoscaled systems with far field radiation and polarization singularities
Grazia Salerno
https://arxiv.org/abs/2508.20487 https://

Topological photonics in nanoscaled systems with far field radiation and polarization singularities
Topology is a powerful framework for controlling and manipulating light, minimizing detrimental perturbations on the photonic properties. Combining nanophotonics with topological concepts presents opportunities for both fundamental physics and technological applications. Although most topological photonic realizations have been inspired by condensed-matter analogue models, new topological ideas have just begun to be realized at the nanoscale. Nanophotonics is characterized by subtle phenomena t…

Machine learning topological defect formation
Fumika Suzuki, Ying Wai Li, Wojciech H. Zurek
https://arxiv.org/abs/2508.20347 https://arxiv.org/pdf/2508.203…

Machine learning topological defect formation
According to the Kibble-Zurek mechanism (KZM), the density of topological defects created during a second-order phase transition is determined by the correlation length at the freeze-out time. This suggests that the final configuration of topological defects in such a transition is largely established during the impulse regime, soon after the critical point is traversed. Motivated by this, we conjecture that machine learning (ML) can predict the final configuration of topological defects based …

Rationality fields of CM modular forms
Kimball Martin
https://arxiv.org/abs/2509.24119 https://arxiv.org/pdf/2509.24119

Rationality fields of CM modular forms
We formulate a conjecture on the finitude of rationality fields (i.e., Fourier coefficient fields) of newforms of bounded degree, and prove this for CM forms assuming a generalized Riemann hypothesis. Then we explicitly determine what quadratic and cubic rationality fields occur for weight 2 CM forms, which is related to classifications of CM abelian varieties of GL(2) type. Several of these fields do not appear in the existing tables of newforms in the LMFDB.

Controlling the $\mathcal{PT}$ Symmetry Breaking Threshold in Bipartite Lattice Systems with Floquet Topological Edge States
Xinguang Li, Hongzheng Wu, Yangchun Zhao, Jinpeng Xiao, Yu Guo, Lei Li, Yajiang Chen, Xiaobing Luo
https://arxiv.org/abs/2508.18931

Controlling the $\mathcal{PT}$ Symmetry Breaking Threshold in Bipartite Lattice Systems with Floquet Topological Edge States
We investigate the control of the parity-time ($\mathcal{PT}$)-symmetry breaking threshold in a periodically driven one-dimensional dimerized lattice with spatially symmetric gain and loss defects. We elucidate the contrasting roles played by Floquet topological edge states in determining the $\mathcal{PT}$ symmetry breaking threshold within the high- and low-frequency driving regimes. In the high-frequency regime, the participation of topological edge states in $\mathcal{PT}$ symmetry breaking…

Variations of topological theory and ergodic theory via gap function in non-uniform specification
Wanshan Lin, Xueting Tian, Chenwei Yu
https://arxiv.org/abs/2508.17800 https://…

Variations of topological theory and ergodic theory via gap function in non-uniform specification
In [44], we qualitatively studied some classical results implied by the specification property for dynamical systems with non-uniform specification. In this paper, we perform quantitative studies on how properties of topological theory and ergodic theory vary with the gap function in non-uniform specification from different points of view. Firstly, we establish a lower estimation for Bowen topological entropy of irregular sets, determined by the lower asymptotic linear growth rate of the gap fu…

Resolving Complex Subwavelength Grating Structures Using Topologically Structured Light
Thomas A. Grant, Eric Plum, Nikolay I. Zheludev, Kevin F. MacDonald
https://arxiv.org/abs/2509.22135

Resolving Complex Subwavelength Grating Structures Using Topologically Structured Light
It has been seen recently that when probing a nanoscale object to determine, for example, size or position via light scattering, significant advantage in measurement precision can be gained from exploiting phase singularities in a topologically structured incident light field. Here, we demonstrate that this advantage, derived from the dependence of scattered intensity profiles on strong local (subwavelength-scale) intensity and phase variations in the incident field, can be extended towards ima…

Exact Taub-NUT-like Black Holes in Einstein-bumblebee gravity: their thermodynamics and thermodynamic topology
Mustapha Azreg-A\"inou, Yassine Sekhmani
https://arxiv.org/abs/2509.17407

Exact Taub-NUT-like Black Holes in Einstein-bumblebee gravity: their thermodynamics and thermodynamic topology
We determine exact analytic three-parameter expressions for the non-rotating metric, describing a Taub-NUT-like black hole (BH), and its associated bumblebee field that are solutions to the Einstein-bumblebee gravity. We construct a consistence thermodynamics for the Taub-NUT-like BH and determine its thermodynamic topological class. The Lorentz symmetry breaking affects the mass and temperature of the BH but does not its thermodynamic topological classification.

Deterministic Frequency--Domain Inference of Network Topology and Hidden Components via Structure--Behavior Scaling
Xiaoxiao Liang, Tianlong Fan, Linyuan L\"u
https://arxiv.org/abs/2509.19857

Deterministic Frequency--Domain Inference of Network Topology and Hidden Components via Structure--Behavior Scaling
Hidden interactions and components in complex systems-ranging from covert actors in terrorist networks to unobserved brain regions and molecular regulators-often manifest only through indirect behavioral signals. Inferring the underlying network structure from such partial observations remains a fundamental challenge, particularly under nonlinear dynamics. We uncover a robust linear relationship between the spectral strength of a node's behavioral time series under evolutionary game dynamics an…