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We present the successful realization of four-dimensional (4D) semimetal bands featuring tensor monopoles, achieved using superconducting quantum circuits. Our experiment involves the creation of a highly tunable diamond energy diagram with…

Gauge field theory provides the mathematical and conceptual framework to describe and understand topological singularities such as Weyl points and magnetic monopoles. While singularities associated with vector electromagnetic gauge fields…

Mesoscale and Nanoscale Physics · Physics 2025-04-18 Qingyang Mo , Shanjun Liang , Cuicui Lu , Jie Zhu , Shuang Zhang

Monopoles play a center role in gauge theories and topological matter. There are two fundamental types of monopoles in physics: vector monopoles and tensor monopoles. Examples of vector monopoles include the Dirac monopole in 3D and Yang…

Monopoles are intriguing topological objects, which play a central role in gauge theories and topological states of matter. While conventional monopoles are found in odd-dimensional flat spaces, such as the Dirac monopole in three…

Mesoscale and Nanoscale Physics · Physics 2018-10-31 Giandomenico Palumbo , Nathan Goldman

We propose that a kind of four-dimensional (4D) Hamiltonians, which host tensor monopoles related to quantum metric tensor in even dimensions, can be simulated by ultracold atoms in the optical lattices. The topological properties and…

Mesoscale and Nanoscale Physics · Physics 2020-12-08 Hai-Tao Ding , Yan-Qing Zhu , Zhi Li , Lubing Shao

We report the theoretical prediction and experimental observation of a new class of four-dimensional (4D) tensor singularities and their three-dimensional (3D) Euler-class descendants, protected by chiral and spacetime inversion symmetries…

Quantum Physics · Physics 2026-05-19 Zhe Wang , Yan-Qing Zhu , Xinsheng Tan , Giandomenico Palumbo , Lichang Ji , Wei Xin , Shi-Liang Zhu , Yang Yu

The intersection of topology, symmetry, and magnetism yields a rich structure of possible phases. In this work, we study theoretically the consequences of magnetism on IrF4, which was recently identified as a possible candidate topological…

Strongly Correlated Electrons · Physics 2023-03-15 C. Shang , O. Ganter , N. Heinsdorf , S. M. Winter

Topological semimetals is a new class of condensed matter systems with nontrivial electronic structure topology. Their unusual observable properties may often be understood in terms of quantum anomalies. In particular, Weyl and Dirac…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 A. A. Burkov

We propose the creation of a two-dimensional topological semimetal in a semiconductor artificial lattice with triangular symmetry. An in-plane magnetic field drives a quantum phase transition between the topological insulating and…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Tommy Li , Oleg P. Sushkov

Topological semimetals have emerged as an important class of quantum materials with novel electronic responses and unconventional transport phenomena. Among them, nodal-line semimetals are distinguished by band crossings that extend along…

Materials Science · Physics 2026-05-11 Ashutosh S. Wadge , Pardeep K. Tanwar , Giuseppe Cuono , Carmine Autieri

Three-dimensional (3D) topological semimetals represent a new class of topological matters. The study of this family of materials has been at the frontiers of condensed matter physics, and many breakthroughs have been made. Several…

Materials Science · Physics 2019-10-03 Jin Hu , Su-Yang Xu , Ni Ni , Zhiqiang Mao

The interplay between topological materials and local symmetry breaking gives rise to diverse topological quantum phenomena. A notable example is the parity anomalous semimetal (PAS), which hosts a single unpaired gapless Dirac cone with a…

Materials Science · Physics 2026-04-20 Binbin Wang , Jiayuan Hu , Bo Fu , Jiaqi Li , Yunchuan Kong , Kai-Zhi Bai , Shun-Qing Shen , Di Xiao

We investigate the potential of the surface states of 3D nodal-line semimetals to produce surface and 3D quantized Hall effects in which the electronic currents flow unidirectionally along the surface of the material. This phenomenology is…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 Rafael A. Molina , Jose Gonzalez

Nodal-line semimetals with magnetic orders have been theoretically predicted and experimentally observed in only few compounds. We theoretically explore the electronic structure in bulk and boundary of such a magnetic nodal-line state by…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Yasufumi Araki , Jin Watanabe , Kentaro Nomura

In this work we predict several new types of topological semimetals that exhibit a bulk quadrupole moment. These semimetals are modeled with a 3D extension of the 2D quadrupole topological insulator. One type of semimetal has bulk nodes and…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Mao Lin , Taylor L. Hughes

Nodal-line semimetals are topological semimetals characterized by one-dimensional band-touching loops protected by the combined symmetry of inversion $\mathcal{P}$ and time-reversal $\mathcal{T}$ in absence of spin-orbit coupling. These…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Alberto Martín-Ruiz , Alberto Cortijo

Advanced vector imaging techniques provide us with 3D maps of magnetization fields in which topological concepts can be directly applied to describe real-space experimental textures in non-ideal geometries. Here, the 3D magnetization of a…

Lattice deformations act on the low-energy excitations of Dirac materials as effective axial vector fields. This allows to directly detect quantum anomalies of Dirac materials via the response to axial gauge fields. We investigate the…

Mesoscale and Nanoscale Physics · Physics 2020-12-04 Taiki Matsushita , Satoshi Fujimoto , Andreas P. Schnyder

Topology in general but also topological objects such as monopoles are a central concept in physics. They are prime examples for the intriguing physics of gauge theories and topological states of matter. Vector monopoles are already…

Quantum Physics · Physics 2021-12-08 H. Weisbrich , M. Bestler , W. Belzig

Fermi arcs represent the surface states at the boundary of a three-dimensional topological semimetal with the vacuum, illustrating the notion of bulk-boundary correspondence playing out in real materials. Their special character is tied up…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Ipsita Mandal
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