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Weyl semi-metal is the three dimensional analog of graphene. According to the quantum field theory, the appearance of Weyl points near the Fermi level will cause novel transport phenomena related to chiral anomaly. In the present paper, we…

We derive the Weyl anomaly in two dimensional space-time by considering the Dirac sea regularized some negatively counted formally bosonic extra species.In fact we calculate the trace of the energy-momentum tensor of the Dirac sea in a…

High Energy Physics - Theory · Physics 2012-06-28 Y. Habara , H. B. Nielsen , M. Ninomiya

Magneto conductivities in Weyl semimetals (WSM) in presence of small fields are studied using quasi-classical Boltzmann transport equations (BTE). Following such formalism here we consider irradiation via circularly polarized light on a…

Strongly Correlated Electrons · Physics 2022-10-11 Rounak Sen , Satyaki Kar

Weyl semimetals (WSMs) are topological quantum states wherein the electronic bands linearly disperse around pairs of nodes, the Weyl points, of fixed (left or right) chirality. The recent discovery of WSM materials triggered an experimental…

It has recently been found that Dirac and Weyl metals are characterized by an unusual weak-field longitudinal magnetoresistance: large, negative, and quadratic in the magnetic field. This has been shown to arise from chiral anomaly, i.e.…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 A. A. Burkov

Weyl semimetals are a unique class of topological materials, possessing Fermi-arc surface states and exhibiting the chiral anomaly effect. The chiral anomaly refers to non-equilibrium charge transfer within a Weyl-node pair of opposite…

A systematic study of chiral effects is presented using an Effective Field Theory framework. By integrating out a massive Dirac fermion at finite temperature in presence of vector and axial background fields, the currents and their…

High Energy Physics - Theory · Physics 2026-05-18 Rémy Larue , Amaury Marchon , Jérémie Quevillon , Diego Saviot

We compute the magneto-conductance of a short junction made out of a Weyl semi-metal. We show that it displays quantum oscillations at low magnetic field and low temperature, before reaching a universal high-field regime where it increases…

Mesoscale and Nanoscale Physics · Physics 2017-11-20 Thibaud Louvet , Manuel Houzet , David Carpentier

Solids with topologically robust electronic states exhibit unusual electronic and optical transport properties that do not exist in other materials. A particularly interesting example is chiral charge pumping, the so-called chiral anomaly,…

We consider the phenomenon of natural optical activity, and related chiral magnetic effect in metals with low carrier concentration. To reveal the correspondence between the two phenomena, we compute the optical conductivity of a…

Mesoscale and Nanoscale Physics · Physics 2015-12-18 Jing Ma , D. A. Pesin

The chiral vortical effect is a chiral anomaly induced transport phenomenon characterized by an axial current in a uniformly rotating chiral fluid. It is well-understood for Weyl fermions in high energy physics, but its realization in…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 Swadeepan Nanda , Pavan Hosur

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

We investigate the role of the chiral anomaly in hydrodynamic and crossover regimes of transport in a Weyl or Dirac semimetal film. We show that the magnetic-field-dependent part of the electric conductivity in the direction of the magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 P. O. Sukhachov , Björn Trauzettel

From quantum field theory, we derive the chiral kinetic theory involving nonlinear quantum corrections coupled with spacetime-dependent electromagnetic fields and fluid velocity gradients. An equilibrium Wigner function determined by the…

High Energy Physics - Theory · Physics 2025-07-02 Kazuya Mameda

Generalized Dirac monopoles in momentum space are constructed in even d+1 dimensions from the Weyl Hamiltonian in terms of Green's functions. In 3+1 spacetime dimensions, the (unit) charge of the monopole is equal to both the winding number…

High Energy Physics - Theory · Physics 2017-11-09 Mahmut Elbistan

The linear band crossings of 3D Dirac and Weyl semimetals are characterized by a charge chirality, the parallel or anti-parallel locking of electron spin to its momentum. Such materials are believed to exhibit a ${\bf E} \cdot {\bf B}$…

Materials Science · Physics 2021-06-01 Bing Cheng , Timo Schumann , Susanne Stemmer , N. P. Armitage

From a direct calculation of the anomalous Hall conductivity and an effective electromagnetic action obtained via Fujikawa's chiral rotation technique, we conclude that an axionic field theory with a non-quantized coefficient describes the…

Mesoscale and Nanoscale Physics · Physics 2013-12-17 Pallab Goswami , Sumanta Tewari

The chiral anomaly is one of the robust quantum effects in relativistic field theories with a chiral symmetry where charges in chiral sectors appear to be separately conserved. The chiral anomaly, which is often associated with a…

Strongly Correlated Electrons · Physics 2026-02-27 Shuyang Wang , Jay D. Sau

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

Rotating photon gas exhibits a chirality separation along the angular velocity which is manifested through a generation of helicity and zilch currents. In this paper we study this system using the corresponding Wigner function and construct…

High Energy Physics - Theory · Physics 2020-12-02 Xu-Guang Huang , Pavel Mitkin , Andrey V. Sadofyev , Enrico Speranza