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In this work we design and train deep neural networks to predict topological invariants for one-dimensional four-band insulators in AIII class whose topological invariant is the winding number, and two-dimensional two-band insulators in A…

Strongly Correlated Electrons · Physics 2018-08-07 Ning Sun , Jinmin Yi , Pengfei Zhang , Huitao Shen , Hui Zhai

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

Mathematical Physics · Physics 2018-08-16 Guillaume Bal

Bifiltered graphs are a versatile tool for modelling relations between data points across multiple grades of a two-dimensional scale. They are especially popular in topological data analysis, where the homological properties of the induced…

Computational Geometry · Computer Science 2023-03-13 Ángel Javier Alonso , Michael Kerber , Siddharth Pritam

We investigate the doubly bottom state $T^-_{bb}$ composed of two bottom mesons with $J^P=1^+$. The potentials are obtained using the one-boson exchange model. With the heavy quark flavor symmetry, all the parameters in the model are…

High Energy Physics - Phenomenology · Physics 2024-10-10 Yu-Shan Ren , Guang-Juan Wang , Zhi Yang , Jia-Jun Wu

Inspired by the observation of the $P_{cs} (4459)$ state by LHCb recently, we reexamine the results of the interaction of the $J/\psi \Lambda$ channel with its coupled channels, exploiting the coupled channel unitary approach combined with…

High Energy Physics - Phenomenology · Physics 2021-03-24 C. W. Xiao , J. J. Wu , B. S. Zou

We suggest that the extended Lee-Friedrichs model could be directly used as a practical parametrization method for the experimental analysis of resonance structures. This parametrization incorporates the constraints of relativistic phase…

High Energy Physics - Phenomenology · Physics 2025-02-24 J. X. Cui , Zhi-Yong Zhou , Zhiguang Xiao

We investigate a two-dimensional superconducting system with a smoothly and periodically varying order parameter. The order parameter is modulated along one direction while remaining uniform in the perpendicular direction, leading to a…

Superconductivity · Physics 2026-03-13 Klaus Ziegler

A (2+1)D topologically ordered phase may or may not have a gappable edge, even if its chiral central charge $c_-$ is vanishing. Recently, it is discovered that a quantity regarded as a "higher" version of chiral central charge gives a…

Strongly Correlated Electrons · Physics 2024-01-08 Ryohei Kobayashi , Taige Wang , Tomohiro Soejima , Roger S. K. Mong , Shinsei Ryu

Topological insulators are characterized by specially protected conduction on their outer boundaries. We show that the protected edge conduction exhibited by 2-D topological insulators (and also Chern insulators) is independent of…

Mesoscale and Nanoscale Physics · Physics 2015-09-01 Quansheng Wu , Liang Du , Vincent E. Sacksteder

Topological Data Analysis (TDA) is an emergent field that aims to discover topological information hidden in a dataset. TDA tools have been commonly used to create filters and topological descriptors to improve Machine Learning (ML)…

Machine Learning · Computer Science 2022-02-07 Rolando Kindelan , José Frías , Mauricio Cerda , Nancy Hitschfeld

Extracting Hamiltonian parameters from available experimental data is a challenge in quantum materials. In particular, real-space spectroscopy methods such as scanning tunneling spectroscopy allow probing electronic states with atomic…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Maryam Khosravian , Rouven Koch , Jose L. Lado

We report an experimental demonstration of a machine learning approach to identify exotic topological phases, with a focus on the three-dimensional chiral topological insulators. We show that the convolutional neural networks---a class of…

Topological systems are inherently robust to disorder and continuous perturbations, resulting in dissipation-free edge transport of electrons in quantum solids, or reflectionless guiding of photons and phonons in classical wave systems…

Materials Science · Physics 2018-07-04 Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

A microscopic mechanism for chiral superconductivity from Coulomb repulsion is proposed for spin- and valley-polarized state of rhombohedral multilayer graphene. The superconducting state occurs at low density, has chiral $p$-wave pairing…

Superconductivity · Physics 2024-09-24 Max Geier , Margarita Davydova , Liang Fu

Graph serves as a powerful tool for modeling data that has an underlying structure in non-Euclidean space, by encoding relations as edges and entities as nodes. Despite developments in learning from graph-structured data over the years, one…

Machine Learning · Computer Science 2022-12-20 Tianxiang Zhao , Dongsheng Luo , Xiang Zhang , Suhang Wang

We carry out a theoretical study of unconventional superconductivity in twisted bilayer cuprates (TBC) as a function of electron density and layer twist angle. The bilayer $t$-$J$-$U$ model is employed and analyzed within the framework of a…

Superconductivity · Physics 2024-10-11 Maciej Fidrysiak , Bartłomiej Rzeszotarski , Józef Spałek

$T_{cc}^+$ is an isoscalar 4-quark state with mass lying barely below the $D^{*+} D^0$ threshold, and several times further below the $D^{*0} D^+$ threshold. It allows both di-meson molecular and elementary diquark-antidiquark $(cc)(\bar u…

High Energy Physics - Phenomenology · Physics 2024-08-09 Richard F. Lebed , Steven R. Martinez

Tensors decompositions are a class of tools for analysing datasets of high dimensionality and variety in a natural manner, with the Canonical Polyadic Decomposition (CPD) being a main pillar. While the notion of CPD is closely intertwined…

Signal Processing · Electrical Eng. & Systems 2019-11-15 Giuseppe G. Calvi , Bruno Scalzo Dees , Danilo P. Mandic

Altermagnetism has recently emerged as a third fundamental branch of magnetism, combining the vanishing net magnetization of antiferromagnets with the high-momentum-dependent spin splitting of ferromagnets. This study provides a…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Manuel Calixto

The design of periodic nanostructures allows to tailor the transport of photons, phonons, and matter waves for specific applications. Recent years have seen a further expansion of this field by engineering topological properties. However,…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Vittorio Peano , Florian Sapper , Florian Marquardt