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In Weyl semimetals the application of parallel electric and magnetic fields leads to valley polarization -- an occupation disbalance of valleys of opposite chirality -- a direct consequence of the chiral anomaly. In this work, we present…

Mesoscale and Nanoscale Physics · Physics 2021-09-02 Pablo M. Perez-Piskunow , Nicandro Bovenzi , Anton R. Akhmerov , Maxim Breitkreiz

Weyl semimetals (WSMs) have Weyl nodes where conduction and valence bands meet in the absence of inversion or time-reversal symmetry (TRS), or both. Interesting phenomena are expected in WSMs such as the chiral magnetic effect, anomalous…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 John W. Villanova , Kyungwha Park

Relativistic gravitational anomalies lead to anomalous transport coefficients that can be activated at finite temperature in condensed matter systems with gapless fermions. The chiral vortical effect (CVE) is an anomalous chiral current…

Superconductivity · Physics 2022-09-14 J. Nissinen , G. E. Volovik

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

Torsion can be realized as dislocation in the crystal lattice of material. It is particularly interesting if the material has fermions in the spectrum, such as graphene, topological insulators, Dirac and Weyl semimetals, as it's transport…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Chong-Sun Chu , Rong-Xin Miao

We revisit the transport properties induced by the chiral anomaly in a charged plasma holographically dual to anomalous $U(1)_V\times U(1)_A$ Maxwell theory in Schwarzschild-$AdS_5$. Off-shell constitutive relations for vector and axial…

High Energy Physics - Theory · Physics 2016-12-21 Yanyan Bu , Michael Lublinsky , Amir Sharon

The anomalous term $\sim\mathbf{EB}$ in the balance of the chiral density can be rewritten as quantum current in the classical balance of density. Therefore it does not violate classical conservation laws as it is claimed to be caused by…

Strongly Correlated Electrons · Physics 2019-05-01 Klaus Morawetz

We investigate the interplay of chiral anomaly and dissipation in one - dimensional Dirac semimetal. For definiteness we consider the Su Schrieffer Heeger (SSH) model, which on the language of lattice field theory represents 1 D Wilson…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Mustafa Bohra , M. A. Zubkov

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

An unbounded massless Dirac model with two nondegenerate Dirac cones is the simplest model for Weyl semimetals, which show the anomalous electromagnetic response of chiral magnetic effect (CME) and anomalous Hall effect (AHE). However, if…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Yositake Takane

Recently, it is found that when an external magnetic field parallel to the boundary is applied, Weyl anomaly gives rises to a new anomalous current transport in the vicinity of the boundary. At the leading order of closeness from the…

High Energy Physics - Theory · Physics 2018-08-01 Chong-Sun Chu , Rong-Xin Miao

Weyl semimetal, a three-dimensional electronic system with relativistic linear energy dispersion around gapless points carrying nontrivial Berry charge, is predicted to exhibit a wealth of unique response and transport properties.A crucial…

Strongly Correlated Electrons · Physics 2018-05-01 Imam Makhfudz

Emergent Lorentz symmetry and chiral anomaly are well known to play an essential role in anomalous transport phenomena of Weyl metals. In particular, the former causes a Berry-curvature induced orbital magnetic moment to modify the group…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Jinho Yang , Ki-seok Kim

When the right and the left handed Weyl points are separated in energy, they give rise to a non-dissipative charge current along the direction of a uniform applied magnetic field, even in the absence of an external electric field. This…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 Pallab Goswami , Sumanta Tewari

The quest for topological states in strongly correlated materials is challenging but essential from fundamental research and application perspectives. The magnetic Weyl semimetal (WSM) state in the chiral antiferromagnet Mn$_3$Sn emerges…

Strongly Correlated Electrons · Physics 2022-04-05 Shunichiro Kurosawa , Takahiro Tomita , Ikhlas Muhammad , Mingxuan Fu , Akito Sakai , Satoru Nakatsuji

Chiral anomaly implies the existence of non-dissipative transport phenomena, such as the chiral magnetic effect. At second order in the derivative expansion, novel quantum transport phenomena emerge. In this paper, we focus on the anomalous…

High Energy Physics - Phenomenology · Physics 2022-11-23 Matteo Buzzegoli , Dmitri E. Kharzeev , Yu-Chen Liu , Shuzhe Shi , Sergei A. Voloshin , Ho-Ung Yee

We generalize a semiclassical theory and use the argument of angular momentum conservation to examine the ballistic transport in lightly-doped Weyl semimetals, taking into account various phase-space Berry curvatures. We predict universal…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 Shengyuan A. Yang , Hui Pan , Fan Zhang

Chiral anomaly is a very fundamental aspect of quantum theories with chiral fermion, from the Standard Model to supersymmetric field theories or even string theories. How such microscopic anomaly manifests itself in a macroscopic many-body…

High Energy Physics - Phenomenology · Physics 2016-12-22 Jinfeng Liao

The chiral anomaly is the predicted break down of chiral symmetry in a Weyl semimetal with monopoles of opposite chirality when an electric field parallel to a magnetic field is applied. It occurs because of charge pumping from a positive…

Materials Science · Physics 2021-06-09 Dung Vu , Wenjuan Zhang , Cüneyt Şahin , Michael E. Flatté , Nandini Trivedi , Joseph P. Heremans

While quantum anomalies are often associated with the breaking of a classical symmetry in the quantum theory, their anomalous contributions to observables remain distinct and well-defined even when the symmetry is broken from the outset.…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Zachary Raines , Victor Galitski