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In Weyl semimetals, charge density wave (CDW) order can spontaneously break the chiral symmetry, gap out the Weyl nodes, and drive the material into the axion insulating phase. Investigations have however been limited since CDWs are rarely…

Three-dimensional Weyl and Dirac semimetals can support a chiral-symmetry-breaking, fully gapped, charge-density-wave order even for sufficiently weak repulsive electron-electron interactions, when placed in strong magnetic fields. In the…

Mesoscale and Nanoscale Physics · Physics 2015-12-25 Bitan Roy , Jay D. Sau

Chirality, a characteristic handedness that distinguishes 'left' from 'right', cuts widely across all of nature$^1$, from the structure of DNA$^2$ to opposite chirality of particles and antiparticles$^3$. In condensed matter chiral fermions…

Discovered in high-energy physics, the chiral anomaly has recently made way to materials science by virtue of Weyl semimetals (WSM). Thus far, the main efforts to probe the chiral anomaly in WSM have concentrated on electronic phenomena.…

Strongly Correlated Electrons · Physics 2017-09-14 Pierre Rinkel , Pedro L. S. Lopes , Ion Garate

Massless chiral fermions emergent in inversion symmetry-breaking Weyl semimetals (WSMs) reside in the vicinity of multiple low symmetry nodes and thus acquire strongly anisotropic dispersion. We investigate the longitudinal electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2021-05-07 A. N. Afanasiev , A. A. Greshnov , D. Svintsov

We investigate the role of the chiral anomaly in hydrodynamic and crossover regimes of transport in a Weyl or Dirac semimetal film. We show that the magnetic-field-dependent part of the electric conductivity in the direction of the magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 P. O. Sukhachov , Björn Trauzettel

The separation of the Weyl nodes in a broken time-reversal symmetric Weyl semimetal leads to helical quasi-particle excitations at the Weyl nodes, which, when coupled with overall spin conservation allows only inter-nodal transport at the…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 Udit Khanna , Dibya Kanti Mukherjee , Arijit Kundu , Sumathi Rao

We present a theory of the anomalous Hall effect in a topological Weyl superconductor with broken time reversal symmetry. Specifically, we consider a ferromagnetic Weyl metal with two Weyl nodes of opposite chirality near the Fermi energy.…

Superconductivity · Physics 2016-08-24 G. Bednik , A. A. Zyuzin , A. A. Burkov

Recent discovery of both gapped and gapless topological phases in weakly correlated electron systems has introduced various relativistic particles and a number of exotic phenomena in condensed matter physics. The Weyl fermion is a prominent…

Weyl semimetals are a three dimensional topological phase of matter with linearly dispersed Weyl points which appear in pairs and carry opposite chirality. The separation of paired Weyl points allows charge transfer between them in the…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 Salah Uddin , Wenye Duan , Jun Wang , Zhongshui Ma , Jun-Feng Liu

We report the anomalous Hall effect (AHE) and the anomalous Nernst effect (ANE) data for the non-collinear Weyl semimetal CeAlSi. The anomalous Hall conductivity ({\sigma}_ij^A) was measured for two different orientations of the magnetic…

We present an overview of our recent work on transport phenomena in Weyl metals, which may be connected to their nontrivial topological properties, particularly to chiral anomaly. We argue that there are two basic phenomena, which are…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. A. Burkov

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

Weyl semimetals have nodes in their electronic structure at which electrons attain a definite chirality. Due to the chiral anomaly, the non-conservation of charges with given chirality, the axion term appears in their effective…

Superconductivity · Physics 2024-03-07 Vira Shyta , Jeroen van den Brink , Flavio S. Nogueira

We study the chiral electric separation effect (CESE) in Weyl semimetals (WSM). Within the model based on the kinetic equation we show that there is a non-zero chirality current in external electric and magnetic fields. We distinguish…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Vladimir A. Zyuzin

Chiral magnetic effect is a quantum phenomenon that is breaking of chiral symmetry of relativistic Weyl fermions by quantum fluctuation under paralleled electric field E and magnetic field B. Intuitively, Weyl fermions with different…

Materials Science · Physics 2018-05-28 Yang-Yang Lv , Xiao Li , Bin Pang , Y. B. Chen , Shu-Hua Yao , Jian Zhou , Yan-Feng Chen

The current response to an electromagnetic field in a Weyl or Dirac semimetal becomes nonlocal due to the chiral anomaly activated by an applied static magnetic field. The nonlocality develops under the conditions of the normal skin effect…

Mesoscale and Nanoscale Physics · Physics 2022-04-08 P. O. Sukhachov , L. I. Glazman

We analyze the effect of the tilt on the transverse thermoelectric coefficient of Weyl semimetals in the \emph{conformal} limit, i.e., zero temperature and zero chemical potential. Using the Kubo formalism, we find a nonmonotonic behavior…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Thorvald M. Ballestad , Alberto Cortijo , María A. H. Vozmediano , Alireza Qaiumzadeh

The linear band crossings of 3D Dirac and Weyl semimetals are characterized by a charge chirality, the parallel or anti-parallel locking of electron spin to its momentum. Such materials are believed to exhibit a ${\bf E} \cdot {\bf B}$…

Materials Science · Physics 2021-06-01 Bing Cheng , Timo Schumann , Susanne Stemmer , N. P. Armitage

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
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