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We demonstrate the emergence of the magnetic moment and spin-vorticity coupling of chiral fermions in 4-dimensional Wigner functions. In linear response theory with space-time varying electromagnetic fields, the parity-odd part of the…

Nuclear Theory · Physics 2015-09-02 Jian-hua Gao , Qun Wang

Reporting about the formalism with the Dirac equation we describe the dynamics of chiral oscillations for a fermionic particle non-minimally coupling with an external magnetic field. For massive particles, the chirality and helicity quantum…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alex E. Bernardini , Marcelo M. Guzzo

We systematically derive the collision term for the axial kinetic theory, a quantum kinetic theory delineating the coupled dynamics of the vector/axial charges and spin transport carried by the massive spin-1/2 fermions traversing a medium.…

High Energy Physics - Phenomenology · Physics 2020-08-04 Di-Lun Yang , Koichi Hattori , Yoshimasa Hidaka

We perform a systematic study of the Zitterbewegung effect of fermions, which are described by a Gaussian wave with broken spatial-inversion symmetry in a three-dimensional low-energy Weyl semimetal. Our results show that the motion of…

Materials Science · Physics 2018-05-23 Tongyun Huang , Tianxing Ma , Li-Gang Wang

In the light-front formulation of field theory, it is possible to write down a chirally invariant mass term. It thus appears as if one could solve the species doubling problem on a light-front quantized transverse lattice in a chirally…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Burkardt , H. El-Khozondar

We investigate chiral anomaly for fermions in fundamental representation on noncommutative (fuzzy) 2-sphere. In spite that this system is realized by finite dimensional matrices and no regularization is necessary for either UV or IR, we can…

High Energy Physics - Theory · Physics 2009-11-07 Hajime Aoki , Satoshi Iso , Keiichi Nagao

Steady illumination of a non-centrosymmetric semiconductor results in a bulk photovoltaic current, which is contributed by real-space displacements (`shifts') of charged quasiparticles as they transit between Bloch states. The shift induced…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Penghao Zhu , A. Alexandradinata

We discuss the modified quantum electrodynamics from a time-reversal-breaking Weyl semimetal coupled with a $U(1)$ gauge (electromagnetic) field. A key role is played by the soft dispersion of the photons in a particular direction, say…

Strongly Correlated Electrons · Physics 2023-02-01 Xuzhe Ying , A. A. Burkov , Chong Wang

We develop a general formalism for the quantum kinetics of chiral fermions in a background electromagnetic field based on a semiclassical expansion of covariant Wigner functions in the Planck constant $\hbar$. We demonstrate to any order of…

High Energy Physics - Phenomenology · Physics 2018-09-12 Jian-Hua Gao , Zuo-Tang Liang , Qun Wang , Xin-Nian Wang

We show that a hot rotating fluid of relativistic chiral fermions possesses a new gapless collective mode associated with coherent propagation of energy density and chiral density waves along the axis of rotation. This mode, which we call…

High Energy Physics - Theory · Physics 2016-01-20 M. N. Chernodub

We theoretically study the impact of impurities on the photogalvanic effect (PGE) in Weyl semimetals with weakly tilted Weyl cones. Our calculations are based on a two-nodes model with an inversion symmetry breaking offset and we employ a…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 E. J. König , H. -Y. Xie , D. A. Pesin , A. Levchenko

We begin this review with an introduction and a discussion of Weyl fermions as emergent particles in condensed matter systems, and explain how high energy phenomena like the chiral anomaly can be seen in low energy experiments. We then…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Sumathi Rao

We study the generation of an electric current, along the external magnetic field, of fermions, interacting by parity violating electroweak forces with background matter. First, we discuss the situation of massive particles with nonzero…

High Energy Physics - Phenomenology · Physics 2018-11-01 Maxim Dvornikov

For relativistic Weyl fermions in 3+1 dimensions, an electric current proportional to the external magnetic field is predicted. This remarkable phenomenon is called Chiral Magnetic Effect (CME). Here we show that actual transports in Weyl…

Strongly Correlated Electrons · Physics 2016-02-03 Hiroyuki Fujita , Masaki Oshikawa

Semiclassical expansion of the Wigner function for spin-1/2 fermions having an effective spacetime-dependent mass is used to analyze spin-polarization effects. The existing framework is reformulated to obtain a differential equation…

High Energy Physics - Phenomenology · Physics 2024-01-24 Samapan Bhadury , Arpan Das , Wojciech Florkowski , Gowthama K. K. , Radoslaw Ryblewski

We review briefly a few topics concerning physics of fluids whose constituents are massless fermions interacting in chiral invariant way. Macroscopic manifestations of the chral anomaly is one of central issues. Another topic is ultraviolet…

High Energy Physics - Theory · Physics 2018-08-29 V. I. Zakharov , O. V. Teryaev

We formulate a linear response theory of the chiral magnetic effect in a finite Weyl semimetal, expressing the electrical current density $j$ induced by a slowly oscillating magnetic field $B$ or chiral chemical potential $\mu$ in terms of…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 P. Baireuther , J. A. Hutasoit , J. Tworzydło , C. W. J. Beenakker

The spin-orbit interaction in a focused-reflected beam of light results in spatially non-uniform polarization in the beam cross-section due to the superposition of orthogonal field components and polarization-dependent interface reflection…

Optics · Physics 2024-10-02 Upasana Baishya , Nirmal K. Viswanathan

The Casimir effect is a quantum phenomenon induced by the zero-point energy of relativistic fields confined in a finite-size system. This effect for photon fields has been studied for a long time, while the realization of counterparts for…

Mesoscale and Nanoscale Physics · Physics 2023-06-22 Katsumasa Nakayama , Kei Suzuki

We consider the minimal coupling of a thin film Dirac semimetal Hamiltonian to a generic spin-texture. A simple unitary transformation gauges away the spatial dependence in the exchange term, leading to the generation of effective…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Pritam Chatterjee , Anirudha Menon
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