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Momentum transport is anomalous in chiral $p+ip$ superfluids and superconductors in the presence of textures and superflow. Using the gradient expansion of the semi-classical approximation, we show how gauge and Galilean symmetries induce…

Superconductivity · Physics 2020-04-06 Jaakko Nissinen

Using cohomological methods, we identify both trivial and nontrivial contributions to the conformal anomaly in the presence of vectorial torsion in $d=2,4$ dimensions. In both cases, our analysis considers two scenarios: one in which the…

High Energy Physics - Theory · Physics 2024-12-13 Gregorio Paci , Omar Zanusso

We discuss the possibility of a gravitional Nieh-Yan anomaly of the type $\partial_\mu j^\mu_5 =\gamma T^2{\cal T}^a\wedge {\cal T}_a$ in topological Weyl materials, where $T$ is temperature and ${\cal T}^a$ is the effective or emergent…

Strongly Correlated Electrons · Physics 2020-03-17 J. Nissinen , G. E. Volovik

Non-metricity provides a natural extension of Riemannian geometry, yet its experimental signatures remain largely unexplored. In this work we investigate how spacetime non-metricity can be probed through high-precision observations,…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Mohsen Khodadi , Emmanuel N. Saridakis

We calculate the integrated trace anomaly for a real spin-0 scalar field in six dimensions in a torsionless curved space without a boundary. We use a path integral approach for a corresponding supersymmetric quantum mechanical model. Weyl…

High Energy Physics - Theory · Physics 2009-11-07 Agapitos Hatzinikitas , Renato Portugal

We investigate linear and nonlinear transverse planar transport phenomena (viz. linear and nonlinear Hall and Nernst coefficients) induced by chiral anomaly in three-dimensional spin-orbit coupled metallic systems. Unlike Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Rishi G. Gopalakrishnan , Binayyak B. Roy , Gargee Sharma , Sumanta Tewari

We discuss the structure of nonlocal effective action generating the conformal anomaly in classically Weyl invariant theories in curved spacetime. By the procedure of conformal gauge fixing, selecting the metric representative on a…

High Energy Physics - Theory · Physics 2023-11-16 A. O. Barvinsky , W. Wachowski

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…

We investigate the possibility that the observed behavior of test particles outside galaxies, which is usually explained by assuming the existence of dark matter, is the result of the dynamical evolution of particles in a Weyl type…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Piyabut Burikham , Tiberiu Harko , Kulapant Pimsamarn , Shahab Shahidi

We predict a magnetic Weyl semimetal in the inverse Heusler Ti2MnAl, a compensated ferrimagnet with a vanishing net magnetic moment and a Curie temperature of over 650 K. Despite the vanishing net magnetic moment, we calculate a large…

The thermoelectric transport coefficients are calculated in a generic lattice model of multi-Weyl semimetals with a broken time-reversal symmetry by using the Kubo's linear response theory. The contributions connected with the Berry…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

In this paper, we study the problem of trace anomaly for a chiral fermion. To find whether there exists a parity-odd term (Pontryagin term), we use a modified Breitenlohner-Maison-'t Hooft-Veltman regularization and Fujikawa's method by a…

High Energy Physics - Theory · Physics 2023-04-14 Chang-Yong Liu

In this work we introduce a thermal magnetotorsional effect (TME) as a novel topological response in magnetic Weyl semimetals. We predict that magnetization gradients perpendicular to the Weyl node separation give rise to temperature…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Long Liang , Teemu Ojanen

We present an overview of our recent work on transport phenomena in Weyl metals, which may be connected to their nontrivial topological properties, particularly to chiral anomaly. We argue that there are two basic phenomena, which are…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. A. Burkov

The discovery of a chiral anomaly in Weyl semimetals, the non-conservation of chiral charge and energy across two opposite chirality Weyl nodes, has sparked immense interest in understanding its impact on various physical phenomena. Here,…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Sunit Das , Kamal Das , Amit Agarwal

Torsional strain in Weyl semimetals excites a unidirectional chiral density wave propagating in the direction of the torsional vector. This gapless excitation, named the chiral sound wave, is generated by a particular realization of the…

Mesoscale and Nanoscale Physics · Physics 2020-12-24 Matteo Baggioli , Maxim N. Chernodub , Karl Landsteiner , Maria A. H. Vozmediano

In Weyl semimetals subjected to torsion, there are two different kinds of chirality: i) the (coordinate-space) shape of the twisted crystal is chiral, and ii) the momentum space contains chiral quasi-particles. Here we construct a general…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Lan-Lan Gao , Sahal Kaushik , Dmitri E. Kharzeev , Evan John Philip

Weyl fermions are one of the simplest objects that link ideas in geometry and topology to highenergy physics and condensed matter physics. Although the existence of Weyl fermions as elementary particles remains dubious, there is mounting…

Mesoscale and Nanoscale Physics · Physics 2024-06-05 Azaz Ahmad , Gautham Varma K. , Gargee Sharma

The \gamma-trace anomaly of supersymmetry current in a supersymmetric gauge theory shares a superconformal anomaly multiplet with the chiral R-symmetry anomaly and the Weyl anomaly, and its holographic reproduction is a valuable test to the…

High Energy Physics - Theory · Physics 2015-06-26 M. Chaichian , W. F. Chen

We study black hole shadows in nonminimally coupled Weyl connection gravity, a metric-affine extension of general relativity in which spacetime is described by a metric and a Weyl vector field encoding non-metricity. Despite going beyond…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Cláudio Gomes , Margarida Lima , Francisco S. N. Lobo , Luís F. D. da Silva