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Related papers: Enriched axial anomaly in Weyl materials

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Weyl semimetals are predicted to realize the three-dimensional axial anomaly first discussed in particle physics. The anomaly leads to unusual transport phenomena such as the chiral magnetic effect in which an applied magnetic field induces…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Edwin Barnes , J. J. Heremans , Djordje Minic

We show that Weyl semimetals exhibit a mixed axial-torsional anomaly in the presence of axial torsion, a concept exclusive of these materials with no known natural fundamental interpretation in terms of the geometry of spacetime. This…

Mesoscale and Nanoscale Physics · Physics 2019-02-13 Yago Ferreiros , Yaron Kedem , Emil J. Bergholtz , Jens H. Bardarson

We present a field theoretical model of anomalous transport in Weyl semi-metals. We calculate the Chiral Magnetic and Chiral Vortical Effect in the electric, axial (valley) and energy current. Our findings coincide with the results of a…

High Energy Physics - Theory · Physics 2014-02-26 Karl Landsteiner

A space-time dependent node separation in Weyl semimetals acts as an axial vector field. Coupled with domain wall motion in magnetic Weyl semimetals, this induces axial electric and magnetic fields localized at the domain wall. We show how…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 Julia D. Hannukainen , Yago Ferreiros , Alberto Cortijo , Jens H. Bardarson

Recently it is found that Weyl anomaly leads to new anomalous currents in an external electromagnetic field in the curved spacetime. For simplicity, the initial works mainly focus on weak gravitational fields and the anomalous current is…

High Energy Physics - Theory · Physics 2019-08-20 Jiang-Jin Zheng , Dongqi Li , Yu-Qian Zeng , Rong-Xin Miao

Collective modes provide direct fingerprints of quantum matter. We predict a previously unidentified hybrid bulk electromagnetic mode in Weyl semimetals arising from the interplay between the chiral anomaly and the orientation of its…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Subrahmanyam D , Suhas Gangadharaiah , E. G. Mishchenko

Weyl nodes in three-dimensional Weyl semimetals break the Liouville equation, leading to the Liouville anomaly. Here we present a new approach to derive the semiclassical action and equations of motion for Weyl fermions in the presence of…

Mesoscale and Nanoscale Physics · Physics 2019-04-30 Ze-Min Huang , Longyue Li , Jianhui Zhou , Hong-Hao Zhang

Using the path integral formulation in Euclidean space, we extended the calculation of the abelian chiral anomalies in the case of Lorentz violating theories by considering a new fermionic correction term provided by the standard model…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Andrés Gómez , Luis Urrutia

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 possess massless chiral quasi-particles, and are thus affected by the triangle anomalies. We discuss the features of the chiral magnetic and chiral vortical effects specific to Weyl semimetals, and then propose three novel…

High Energy Physics - Theory · Physics 2014-01-30 Gokce Basar , Dmitri E. Kharzeev , Ho-Ung Yee

Chiral anomaly is a key feature of Lorentz-invariant quantum field theories: in presence of parallel external electric and magnetic fields, the number of massless Weyl fermions of a given chirality is not conserved. In condensed matter,…

Strongly Correlated Electrons · Physics 2026-02-20 Shantonu Mukherjee , Sayantan Sharma , Hridis K. Pal

Weyl semimetals are materials where electrons behave effectively as a kind of massless relativistic particles known asWeyl fermions. These particles occur in two flavours, or chiralities, and are subject to quantum anomalies, the breaking…

Multi-Weyl semimetals are a kind of topological phase of matter with discrete Weyl nodes characterized by multiple monopole charges, in which the chiral anomaly, the anomalous nonconservation of an axial current, occurs in the presence of…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

The axial magnetic effect, i.e., the generation of an energy current parallel to an axial magnetic field coupling with opposite signs to left- and right-handed fermions is a non-dissipative transport phenomenon intimately related to the…

High Energy Physics - Theory · Physics 2014-02-28 Maxim N. Chernodub , Alberto Cortijo , Adolfo G. Grushin , Karl Landsteiner , Maria A. H. Vozmediano

We show that when an external magnetic field parallel to the boundary is applied, the Weyl anomaly gives rises to a new anomalous current in the vicinity of the boundary. The induced current is a magnetization current in origin: the…

High Energy Physics - Theory · Physics 2018-12-26 Chong-Sun Chu , Rong-Xin Miao

Quantum anomalies are the breakdowns of classical conservation laws that occur in quantum-field theory description of a physical system. They appear in relativistic field theories of chiral fermions and are expected to lead to anomalous…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Pardeep Kumar Tanwar , Mujeeb Ahmad , Md Shahin Alam , Xiaohan Yao , Fazel Tafti , Marcin Matusiak

The Weyl anomaly problem is treated within a purely geometrical context. Arguments are given that hint at a possible classical origin of the conformal anomaly in the Riemannian nature of the background geometry where the matter fields play…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Israel Quiros

The spectrum of collective excitations in Weyl materials is studied by using consistent hydrodynamics. The corresponding framework includes the vortical and chiral anomaly effects, as well as the dependence on the separations between the…

Strongly Correlated Electrons · Physics 2018-06-13 P. O. Sukhachov , E. V. Gorbar , I. A. Shovkovy , V. A. Miransky

The conformal anomaly (also known as the stress-energy trace anomaly) of an interacting quantum theory, associated with violation of Weyl (conformal) symmetry by quantum effects, can be amended if one endows the theory with a dilatation…

General Relativity and Quantum Cosmology · Physics 2017-09-04 Stefano Lucat , Tomislav Prokopec

Magnetotransport provides key experimental signatures in Weyl semimetals. The longitudinal magnetoresistance is linked to the chiral anomaly and the transversal magnetoresistance to the dominant charge relaxation mechanism. Axial magnetic…

Mesoscale and Nanoscale Physics · Physics 2020-04-20 Jan Behrends , Roni Ilan , Jens H. Bardarson
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