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Quantum Hall physics has been theoretically predicted in 4-dimensions and higher. In hypothetical 2n-dimensions, the topological characters of both the bulk and the boundary are manifested as quantized non-linear transport coefficients that…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Wenting Cheng , Emil Prodan , Camelia Prodan

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Hassan Shapourian , Taylor L. Hughes

A Weyl semimetal denotes an electronic phase of solids in which two bands cross linearly. In this paper we study the effect of a spatially correlated disorder on such a phase. Using a renormalization group analysis, we show that in three…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Thibaud Louvet , David Carpentier , Andrei A. Fedorenko

Weyl points (WP) are robust spectral degeneracies, which can not be split by small perturbations, as they are protected by their non-zero topological charge. For larger perturbations, WPs can disappear via pairwise annihilation, where two…

Mathematical Physics · Physics 2023-09-12 György Frank , Gergő Pintér , András Pályi

We define the notion of Weyl anomalies, measuring the violation of local scale invariance, in interacting quantum field theory on curved spacetimes in the framework of locally covariant field theory. We discuss some general properties of…

High Energy Physics - Theory · Physics 2025-11-13 Markus B. Fröb , Jochen Zahn

Weyl semimetals are well-known for hosting topologically protected linear band crossings, serving as the analog of the relativistic Weyl Fermions in the condensed matter context. Such analogy persists deeply, allowing the existence of the…

Mesoscale and Nanoscale Physics · Physics 2024-02-15 Yang Gao

Weyl semimetals are recently discovered materials supporting emergent relativistic fermions in the vicinity of band-crossing points known as Weyl nodes. The positions of the nodes and the low-energy spectrum depend sensitively on the…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Alex Westström , Teemu Ojanen

We consider the role of quantum effects, mainly, Weyl anomaly in modifying FLRW model singular behavior at early times. Weyl anomaly corrections to FLRW models have been considered in the past, here we reconsider this model and show the…

High Energy Physics - Theory · Physics 2016-04-13 Adel Awad

A Weyl semimetal is a three dimensional topological gapless phase. In the presence of strong enough disorder it undergoes a quantum transition towards a diffusive metal phase whose universality class depends on the range of disorder…

Disordered Systems and Neural Networks · Physics 2019-10-18 Eric Brillaux , David Carpentier , Andrei A. Fedorenko

We introduce feedback-measurement technologies to achieve flexible control of Weyl points and conduct the first experimental demonstration of Weyl type I-II transition in mechanical systems. We demonstrate that non-Hermiticity can expand…

Mesoscale and Nanoscale Physics · Physics 2024-03-25 Mingsheng Tian , Ivan Velkovsky , Tao Chen , Fengxiao Sun , Qiongyi He , Bryce Gadway

Teleportation of optical field states (as continuous quantum variables) is usually described in terms of Wigner functions. This is in marked contrast to the theoretical treatment of teleportation of qubits. In this paper we show that by…

Mathematical Physics · Physics 2009-06-11 S. Nagamachi , E. Brüning

Layered transition metal chalcogenides are promising hosts of electronic Weyl nodes and topological superconductivity. MoTe$_2$ is a striking example that harbors both noncentrosymmetric T$_d$ and centrosymmetric T' phases, both of which…

Following the discovery of topological insulators (TIs), topological Dirac/Weyl semimetal has attracted much recent interest. A prevailing mechanism for the formation of Weyl points is by breaking time-reversal symmetry (TRS) or spatial…

Mesoscale and Nanoscale Physics · Physics 2019-05-23 Yinong Zhou , Kyung-Hwan Jin , Huaqing Huang , Zhengfei Wang , Feng Liu

Degeneracy points of parameter-dependent Hermitian matrices play a fundamental role in quantum physics, as illustrated by the concept of Berry phase in quantum dynamics, the Weyl semimetals in condensed-matter physics, and the robust…

Mesoscale and Nanoscale Physics · Physics 2023-02-17 Zoltán Guba , György Frank , Gergő Pintér , András Pályi

The rapid development of quantum science and technology is leading us into an era where quantum many-body systems can be comprehended through quantum simulations. Holographic duality, which states gravity and spacetime can emerge from…

Quantum Physics · Physics 2024-06-18 Zeyu Liu , Pengfei Zhang

The electric polarization as a bulk quantity is described by the modern theory of polarization in insulating systems and cannot be defined in conducting systems. Upon a gradual change of a parameter in the system, the polarization always…

Mesoscale and Nanoscale Physics · Physics 2023-01-19 Hiroki Yoshida , Tiantian Zhang , Shuichi Murakami

We determine the leading order fall-off behaviour of the Weyl tensor in higher dimensional Einstein spacetimes (with and without a cosmological constant) as one approaches infinity along a congruence of null geodesics. The null congruence…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Marcello Ortaggio , Alena Pravdová

Optical control of structural and electronic properties of Weyl semimetals allows development of switchable and dissipationless topological devices at the ultrafast scale. An unexpected orbitial-selective photoexcitation in type-II Weyl…

Materials Science · Physics 2021-04-14 Meng-Xue Guan , En Wang , Pei-Wei You , Jia-Tao Sun , Sheng Meng

Weyl semimetals are arguably the most paradigmatic form of a gapless topological phase. While the stability of Weyl nodes, as quantified by their topological charge, has been extensively investigated, recent interest has shifted to the…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Siyu Chen , Adrien Bouhon , Robert-Jan Slager , Bartomeu Monserrat

Topological semimetals have recently attracted great attention due to prospective applications governed by their peculiar Fermi surfaces. Weyl semimetals host chiral fermions that manifest as pairs of non-degenerate massless Weyl points in…