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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

Although it is well known that the Ward identities prohibit anomalous dimensions for conserved currents in local field theories, a claim from certain holographic models involving bulk dilaton couplings is that the gauge field associated…

High Energy Physics - Theory · Physics 2019-03-11 Gabriele La Nave , Philip Phillips

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

Weyl semimetals are three-dimensional topological states of matter, in a sense that they host paired monopoles and antimonopoles of Berry curvature in momentum space, leading to the chiral anomaly. The chiral anomaly has long been believed…

Mesoscale and Nanoscale Physics · Physics 2015-06-26 Hai-Zhou Lu , Song-Bo Zhang , Shun-Qing Shen

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 low-energy quasiparticles of Weyl semimetals are a condensed-matter realization of the Weyl fermions introduced in relativistic field theory. Chiral anomaly, the nonconservation of the chiral charge under parallel electric and magnetic…

Materials Science · Physics 2017-12-29 Pilkwang Kim , Ji Hoon Ryoo , Cheol-Hwan Park

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 study the magneto response with non-conserved currents in Holography. Non-conserved currents are dual to massive vector fields in AdS. We introduce the mass in a gauge invariant way via the St\"uckelberg mechanism. In particular we find…

High Energy Physics - Theory · Physics 2014-12-17 Amadeo Jimenez-Alba , Karl Landsteiner , Luis Melgar

We study flows of barotropic perfect fluid under the simultaneous action of the electromagnetic field and the axial-vector potential, the external field conjugate to the fluid helicity. We obtain the deformation of the Euler equation by the…

High Energy Physics - Theory · Physics 2023-08-08 Alexander G. Abanov , Paul B. Wiegmann

We investigate the vector and axial currents induced by external electromagnetic fields and chemical potentials in chiral systems at finite temperature. Similar to the normal Hall effect, we find that an axial Hall current is generated in…

High Energy Physics - Theory · Physics 2015-06-22 Shi Pu , Shang-Yu Wu , Di-Lun Yang

We investigate the general structure of the chiral anomaly $AVV/AAA$ and $(LLL, RRR)$ vertices, in the presence of chemical potentials in perturbation theory. The study finds application in anomalous transport, whenever chirally unbalanced…

High Energy Physics - Phenomenology · Physics 2024-08-06 Claudio Corianò , Mario Cretì , Stefano Lionetti , Riccardo Tommasi

The Weyl semimetal is characterized by three-dimensional linear band touching points called Weyl nodes. These nodes come in pairs with opposite chiralities. We show that the coupling of circularly polarized photons with these chiral…

Mesoscale and Nanoscale Physics · Physics 2016-01-19 Ching-Kit Chan , Patrick A. Lee , Kenneth S. Burch , Jung Hoon Han , Ying Ran

We study second harmonic generation in centrosymmetric Weyl semimetal with broken time reversal symmetry. We calculate electric current density at the double frequency of the propagating electromagnetic field in the presence of applied…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 A. A. Zyuzin , A. Yu. Zyuzin

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 point out that there is a difference between the behavior of fermionic systems (and their holographic analogs) in a background axial vector field, on the one hand, and at finite chiral chemical potential, on the other. In the former…

High Energy Physics - Phenomenology · Physics 2010-05-12 V. A. Rubakov

The axial anomaly in a quasi-one-dimensional (quasi-1D) chiral p-wave superfluid model, which has a epsilon_{x} p_{x}+i epsilon_{y} p_{y}-wave gap in 2D is studied. The anomaly causes an accumulation of the quasiparticle and a quantized…

Superconductivity · Physics 2007-05-23 J. Goryo

Domains of finite topological charge density can exist in chiral materials and chiral matter. Spatial and temporal variation of the average topological charge density, represented by the $\theta$-field, induces anomalous currents that are…

High Energy Physics - Phenomenology · Physics 2019-09-11 Evan Stewart , Kirill Tuchin

Chiral Anomalous Magnetohydrodynamics (CAMHD) provides a low-energy effective framework for describing chiral fluids in the presence of dynamical electromagnetic fields and axial anomaly. This theory finds applications across diverse…

High Energy Physics - Theory · Physics 2025-04-18 Matteo Baggioli , Yanyan Bu , Xiyang Sun

We consider chiral fluids within the standard framework of a chiral-invariant underlying field theory, anomalous in presence of electromagnetic fields. Apart from the Noether axial current of the underlying theory, in the limit of ideal…

High Energy Physics - Theory · Physics 2016-11-29 V. I. Zakharov

Although Weyl semimetals have been extensively studied for exploring rich topological physics, the direct observation of the celebrated chiral magnetic effect (CME) associated with the so-called dipolar chiral anomaly has long intrigued and…

Quantum Gases · Physics 2019-12-02 Zhen Zheng , Zhi Lin , Dan-Wei Zhang , Shi-Liang Zhu , Z. D. Wang