Adler-Bell-Jackiw anomaly in Weyl semimetals: Application to pyrochlore iridates

By V. Aji. 2011

176 citations recorded by the source corpus.

Weyl semimetals are three dimensional analogs of graphene where the energy of the excitations are a linear function of their momentum. Pyrochlore Iridates $(A_{2}Ir_{2}O_{7})$ with A =yttrium or lanthanide element) are conjectured to be examples of such a system, with the low energy physics described by twenty four Weyl nodes. An intriguing possibility is that these materials provide a physical realization of the Adler-Bell-Jackiw anomaly. In this letter we investigate the properties of pyrochlore iridates in an applied magnetic field. We find that the dispersion of the lowest landau level depends on the direction of the applied magnetic field. As a consequence the magneto-conductivity in an electric field, applied parallel to the magnetic field is highly anisotropic, providing a detectable signature of the semi-metallic state.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/03a8c367d68d126c27227c1ded5e88bd5da0eebc

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

In Materials Chemistry

Citations in the corpus

Experimental signatures of the chiral anomaly in Dirac–Weyl semimetals (2020, background): “[1], several approaches for detecting the chiral anomaly were proposed [3, 10–13].”
Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials (2016, background): “[40] Vivek Aji, “Adler-Bell-Jackiw anomaly in Weyl semimetals: Application to pyrochlore iridates,” Phys.”
Experimental observation of Weyl points (2015, background): “[11] Vivek Aji, “Adler-bell-jackiw anomaly in weyl semimetals: Application to pyrochlore iridates,” Phys.”
Weyl and Dirac semimetals in three-dimensional solids (2017, background): “It leads to different effective chemical potentials for the Weyl nodes that can lead to observable consequences of the CME mentioned above (Aji, 2012; Burkov, 2015a; Son and Spivak, 2013).”