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The transport properties of massless fermions in $3+1$ spacetime dimension have been in the focus of recent theoretical and experimental research. New transport properties appear as consequences of chiral anomalies. The most prominent is…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Karl Landsteiner , Yan Liu

Graphene is a monolayer of carbon atoms packed into a hexagon lattice to host two pairs of massless two-dimensional Dirac fermions in the absence of or with negligible spin-orbit coupling. It is known that the existence of non-zero electric…

Mesoscale and Nanoscale Physics · Physics 2017-07-27 Shun-Qing Shen , Chang-An Li , Qian Niu

We investigate novel transport phenomena in a chiral fluid originated from an interplay between a vorticity and strong magnetic field, which induces a redistribution of vector charges in the system and an axial current along the magnetic…

High Energy Physics - Theory · Physics 2016-10-12 Koichi Hattori , Yi Yin

We report theoretical results for the electronic contribution to thermal and electrical transport for chiral superconductors belonging to even or odd-parity E$_1$ and E$_2$ representations of the tetragonal and hexagonal point groups.…

Superconductivity · Physics 2024-05-15 Vudtiwat Ngampruetikorn , J. A. Sauls

The Dirac and Weyl semimetals are unusual materials in which the nodes of the bulk states are protected against gap formation by crystalline symmetry. The chiral anomaly~\cite{Adler,Bell}, predicted to occur in both systems, was recently…

Strongly Correlated Electrons · Physics 2017-06-19 Max Hirschberger , Satya Kushwaha , Zhijun Wang , Quinn Gibson , Carina A. Belvin , B. A. Bernevig , R. J. Cava , N. P. Ong

Chirality of massless fermions emergent in condensed matter is a key to understand their characteristic behavior as well as to exploit their functionality. However, chiral nature of massless fermions in Dirac semimetals has remained…

The Haldane model on a honeycomb lattice is a paradigmatic example of a system featuring quantized Hall conductivity in the absence of an external magnetic field, that is, a quantum anomalous Hall effect. Recent theoretical work predicted…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Luis M. Canonico , José H. García , Tatiana G. Rappoport , Aires Ferreira , R. B. Muniz

Charge-based field-effect transistors (FETs) greatly suffer from unavoidable carrier scattering and heat dissipation. In analogy to valley degree of freedom in semiconductors, chiral anomaly current in Weyl/Dirac semimetals is theoretically…

Applied Physics · Physics 2021-03-02 Jiewei Chen , Ting Zhang , Jingli Wang , Ning Zhang , Wei Ji , Shuyun Zhou , Yang Chai

The chiral anomaly is a phenomenon characteristic of Weyl fermions, which has condensed matter realizations in Weyl semimetals. Efforts to observe smoking gun signatures of the chiral anomaly in Weyl semimetals have mostly focused on a…

Strongly Correlated Electrons · Physics 2019-08-30 Aaron Hui , Yi Zhang , Eun-Ah Kim

In the presence of parallel electric and magnetic fields, the violation of separate number conservation laws for the three dimensional left and right handed Weyl fermions is known as the chiral anomaly. The recent discovery of Weyl and…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Gargee Sharma , Pallab Goswami , Sumanta Tewari

The charge-$q$ Schwinger model is the $(1+1)$-dimensional quantum electrodynamics (QED) with a charge-$q$ Dirac fermion. It has the $\mathbb{Z}_q$ $1$-form symmetry and also enjoys the $\mathbb{Z}_q$ chiral symmetry in the chiral limit, and…

High Energy Physics - Lattice · Physics 2022-11-29 Masazumi Honda , Etsuko Itou , Yuya Tanizaki

We demonstrate that, apart from the chiral anomaly, Dirac semimetals possess another quantum anomaly, which we call the mirror anomaly, and which manifests in a singular response of the Dirac semimetal to an applied magnetic field. Namely,…

Mesoscale and Nanoscale Physics · Physics 2018-01-09 A. A. Burkov

The chiral anomaly may be realized in condensed matter systems with pairs of Weyl points. Here we show that the chiral anomaly can be realized in diverse noncentrosymmetric systems even without Weyl point pairs when spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Suik Cheon , Gil Young Cho , Ki-Seok Kim , Hyun-Woo Lee

We study Dirac fermions in the presence of a space-dependent chiral gauge field and thermodynamic gradients, establishing a connection to the inverse spin Hall effect. The chiral gauge field induces a chiral magnetic field, resulting in a…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Hung-Hsuan Teh , Tokiro Numasawa , Shun Okumura , Takashi Oka

Nonlinear transport phenomena induced by the chiral anomaly are explored within a 4D field theory defined holographically as $U(1)_V\times U(1)_A$ Maxwell-Chern-Simons theory in Schwarzschild-$AdS_5$. First, in presence of external…

High Energy Physics - Theory · Physics 2019-03-19 Yanyan Bu , Tuna Demircik , Michael Lublinsky

We consider as a model of Weyl semimetal thermoelectric transport a $(3+1)$-dimensional charged, relativistic and relaxed fluid with a $U(1)_{V} \times U(1)_{A}$ chiral anomaly. We take into account all possible mixed energy, momentum,…

High Energy Physics - Theory · Physics 2024-02-15 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis , Jonas Rongen

We study the spacetime evolution of electric $(\textbf{E})$ and magnetic $(\textbf{B})$ fields along with the electromagnetic anomaly $(\textbf{E}\cdot\textbf{B})$ in the presence of electric ($\sigma$) and chiral magnetic ($\sigma_{\chi}$)…

Nuclear Theory · Physics 2022-06-30 Irfan Siddique , Shanshan Cao , Uzma Tabassam , Mohsin Saeed , Muhammad Waqas

We study a heavy impurity moving longitudinal with the direction of an external magnetic field in an anomalous chiral medium. Such system would carry a non-dissipative current of chiral magnetic effect associated with the anomaly. We show,…

High Energy Physics - Theory · Physics 2016-06-29 Andrey V. Sadofyev , Yi Yin

We study equilibrium transport properties of massless Dirac fermions at finite temperature and chemical potential in spacetime accompanied by torsion, which in four dimensions couples with Dirac fermions as an axial gauge field. In…

High Energy Physics - Theory · Physics 2022-12-06 Tatsuya Amitani , Yusuke Nishida

Particle production in strong electromagnetic fields is a recurring theme in solid state physics, heavy ion collisions, early universe cosmology and formal quantum field theory. In this paper we discuss the Dirac equation in a background of…

High Energy Physics - Phenomenology · Physics 2020-03-03 Valerie Domcke , Yohei Ema , Kyohei Mukaida