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A Fermi surface threaded by a Berry phase can be described by the Wess-Zumino-Witten (WZW) term. After gauging, it produces a five-dimensional Chern-Simons term in the action. We show how this Chern-Simons term captures the essence of the…

High Energy Physics - Theory · Physics 2013-10-16 Gokce Basar , Dmitri E. Kharzeev , Ismail Zahed

In a three-dimensional Fermi liquid, quasiparticles near the Fermi surface may possess a Berry curvature. We show that if the Berry curvature has a nonvanishing flux through the Fermi surface, the particle number associated with this Fermi…

Mesoscale and Nanoscale Physics · Physics 2012-11-08 Dam Thanh Son , Naoki Yamamoto

In this note we consider non-relativistic rotating fermi liquid in the presence of Berry curvature. The behavior of the system is then almost the same as in external magnetic field. We argue that there appears an analogue of chiral vortical…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 V. P. Kirilin , Z. V. Khaidukov , A. V. Sadofyev

Recently, time-reversal symmetry broken magnetic Weyl semimetals (WSMs) have attracted extensive attention and have provided an intriguing platform for exploring fundamental physical phenomena. The study of chromium telluride-based systems…

Materials Science · Physics 2024-11-26 Anumita Bose , Shubham Purwar , Setti Thirupathaiah , Awadhesh Narayan

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

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

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

We consider the classical magnetoresistance of a Weyl metal in which the electron Fermi surface possess nonzero fluxes of the Berry curvature. Such a system may exhibit large negative magnetoresistance with unusual anisotropy as a function…

Mesoscale and Nanoscale Physics · Physics 2015-03-06 D. T. Son , B. Z. Spivak

Dirac and Weyl materials possess chiral fermions, which are characterized by nontrivial topology and large Berry curvature. Chiral fermions have nontrivial interactions with magnetic fields and light. In this work, we propose three…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Sahal Kaushik

We study the hydrodynamics of a gas of noninteracting Weyl fermions coupled to the electromagnetic field in $(2N + 1) + 1$ spacetime dimensions using the chiral kinetic theory, which encodes the gauge anomaly in the Chern character of the…

High Energy Physics - Theory · Physics 2017-04-05 Vatsal Dwivedi , Michael Stone

We discuss both the anomalous Cartan currents and the energy-momentum tensor in a left chiral theory with flavour anomalies as an effective theory for flavored chiral phonons in a chiral superfluid with the gauged Wess-Zumino-Witten term.…

High Energy Physics - Theory · Physics 2010-03-29 Michael Lublinsky , Ismail Zahed

Landau's Fermi-liquid theory is the standard model for metals, characterized by the existence of electron quasiparticles near a Fermi surface as long as Landau's interaction parameters lie below critical values for instabilities. Recently,…

Mesoscale and Nanoscale Physics · Physics 2014-11-27 Ki-Seok Kim , Heon-Jung Kim , M. Sasaki , J. -F. Wang , L. Li

Recently it has been discovered that in Weyl semimetals the surface state Berry curvature can diverge in certain regions of momentum. This occurs in a continuum description of tilted Weyl cones, which for a slab geometry results in the…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Dennis Wawrzik , Jeroen van den Brink

We construct the Wess-Zumino-Witten (WZW) term in lattice gauge theory by using a Dirac operator which obeys the Ginsparg-Wilson relation. Topological properties of the WZW term known in the continuum are reproduced on the lattice as a…

High Energy Physics - Lattice · Physics 2009-11-10 Takanori Fujiwara , Kosuke Matsui , Hiroshi Suzuki , Masaru Yamamoto

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

We show that Weyl Fermi arcs are generically accompanied by a divergence of the surface Berry curvature scaling as $1/k^2$, where $k$ is the distance to a hot-line in the surface Brillouin zone that connects the projection of Weyl nodes…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Dennis Wawrzik , Jhih-Shih You , Jorge I. Facio , Jeroen van den Brink , Inti Sodemann

The role of the contribution from the fermion mass term in the axial vector Ward identity in generating the U(1) axial anomaly, both local and global, is elucidated. Gauge invariance requires the fermion to decouple from the gauge field if…

High Energy Physics - Theory · Physics 2007-05-23 H. Banerjee

We study the nonlinear responses of relativistic chiral matter to the external fields, such as the electric field ${\bf E}$, gradients of temperature and chemical potential, ${\bf \nabla} T$ and ${\bf \nabla} \mu$. Using the kinetic theory…

High Energy Physics - Theory · Physics 2016-06-29 Jiunn-Wei Chen , Takeaki Ishii , Shi Pu , Naoki Yamamoto

The intrinsic anomalous Hall effect in metallic ferromagnets is shown to be controlled by Berry phases accumulated by adiabatic motion of quasiparticles on the Fermi surface, and is purely a Fermi-liquid property, not a ``bulk'' Fermi sea…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. D. M. Haldane

We show in the Wilson model that the contribution of the regular mass term to the four-divergence of the axial vector current in weak coupling perturbation theory is not zero in the chiral limit and is precisely the axial anomaly. Explicit…

High Energy Physics - Lattice · Physics 2007-05-23 H. Banerjee , Asit K. De
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