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We modify a kinetic theory of massless fermions to incorporate the effects of the conformal anomaly. Working in a collisionless regime, we emulate the conformal anomaly via a momentum-dependent electric coupling. In this prescription, the…

High Energy Physics - Theory · Physics 2021-03-03 M. N. Chernodub , Eda Kilinçarslan

The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Narjes Kheirabadi , YuanDong Wang

We develop a theory for the electrical and thermal transverse linear response functions such as the Hall, Nernst and thermal Hall effects in magnetic materials that harbor topological spin textures like skyrmions. In addition to the…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Zachariah Addison , Lauren Keyes , Mohit Randeria

Hall experiments in chiral magnets are often analyzed as the sum of an anomalous Hall effect, dominated by momentum-space Berry curvature, and a topological Hall effect, arising from the real-space Berry curvature in the presence of…

Mesoscale and Nanoscale Physics · Physics 2022-03-16 Nishchhal Verma , Zachariah Addison , Mohit Randeria

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

The consistent chiral kinetic theory accurate to the second order in electromagnetic and pseudoelectromagnetic fields is derived for a relativistic matter with two Weyl fermions. By making use of such a framework, the properties of…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

Chiral anomaly and the novel quantum phenomena it induces have been widely studied for Dirac and Weyl fermions. In most typical cases, the Lorentz covariance is assumed and thus the linear dispersion relations are maintained. However, in…

Mesoscale and Nanoscale Physics · Physics 2022-01-21 Lan-Lan Gao , Xu-Guang Huang

For a generic lattice Hamiltonian of the electron states in Weyl materials, we calculate analytically the chiral (or, equivalently, valley) charge and current densities in the first order in background electromagnetic and strain-induced…

Mesoscale and Nanoscale Physics · Physics 2017-09-19 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

In this work, we start with chiral kinetic theory and construct the spin hydrodynamic framework for a chiral spinor system. Using the 14-moment expansion formalism, we obtain the equations of motion of second-order dissipative relativistic…

Nuclear Theory · Physics 2021-04-26 Shuzhe Shi , Charles Gale , Sangyong Jeon

We derive the quantum kinetic theory for fermions with arbitrary mass in a background electromagnetic field from the Wigner-function approach. Since spin of massive fermions is a dynamical degree of freedom, the kinetic equations with the…

High Energy Physics - Phenomenology · Physics 2019-11-27 Koichi Hattori , Yoshimasa Hidaka , Di-Lun Yang

In this study, we calculate the shear viscosity for rotating fermions with spin-half under conditions of high temperature and density. We employ the Kubo formalism, rooted in finite-temperature quantum field theory, to compute the field…

High Energy Physics - Phenomenology · Physics 2024-04-23 Sarthak Satapathy , Rajeev Singh , Pushpa Panday , Salman Ahamad Khan , Debarshi Dey

Employing a two-band model of Weyl semimetal, the existence of the chiral magnetic effect (CME) is established within the linear-response theory. The crucial role played by the limiting procedure in deriving correct transport properties is…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Ming-Che Chang , Min-Fong Yang

Starting with general semiclassical equations of motion for electrons in the presence of electric and magnetic fields, we extend the Chambers formula to include in addition to a magnetic field, time-dependent electric fields and bands with…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 Emmanouil K. Kokkinis , Garry Goldstein , Dmitry Efremov , Joseph J. Betouras

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

We present the complete first order relativistic quantum kinetic theory with spin for massive fermions derived from the Wigner function formalism in a concise form that shows explicitly how the 32 Wigner equations reduce to 4 independent…

High Energy Physics - Phenomenology · Physics 2019-10-02 Jian-Hua Gao , Zuo-Tang Liang

The chiral kinetic theory of Weyl fermions with collisions in the presence of weak electric and magnetic fields is derived from quantum field theories. It is found that the side-jump terms in the perturbative solution of Wigner functions…

High Energy Physics - Theory · Physics 2017-05-10 Yoshimasa Hidaka , Shi Pu , Di-Lun Yang

In non-relativistic physics, the concepts of geometry and topology are usually applied to characterize spatial structures or structures in momentum space. We introduce the concept of temporal geometry, which encompasses the geometric and…

Quantum Physics · Physics 2025-06-03 Andres F. Ordonez , Aycke Roos , Pablo M. Maier , Piero Decleva , David Ayuso , Olga Smirnova

We develop a mean-field theory of a novel Kondo effect emerging in systems without a Fermi surface, which instead emerges under strong magnetic fields. We determine the magnitude of the Kondo condensate which is a particle pairing composed…

High Energy Physics - Phenomenology · Physics 2023-12-07 Koichi Hattori , Daiki Suenaga , Kei Suzuki , Shigehiro Yasui

We study collective excitations in systems described by chiral kinetic theory in external magnetic field. We consider high-temperature weak-coupling plasma, as well as high-density Landau Fermi liquid with interaction not restricted to be…

High Energy Physics - Theory · Physics 2015-06-17 Mikhail Stephanov , Ho-Ung Yee , Yi Yin

We derive the relativistic chiral transport equation for massless fermions and antifermions by performing a semiclassical Foldy-Wouthuysen diagonalization of the quantum Dirac Hamiltonian. The Berry connection naturally emerges in the…

High Energy Physics - Phenomenology · Physics 2014-10-24 Cristina Manuel , Juan M. Torres-Rincon