Tilt-induced vortical response and mixed anomaly in inhomogeneous Weyl matter
PHYSICAL REVIEW B, vol.107, no.7, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 107 Issue: 7
- Publication Date: 2023
- Doi Number: 10.1103/physrevb.107.075155
- Journal Name: PHYSICAL REVIEW B
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Compendex, INSPEC, zbMATH, Nature Index
- Istanbul University Affiliated: Yes
Abstract
We propose a nondissipative transport effect and vortical response in Weyl semimetals in the presence of spatial inhomogeneities, namely, a spatially varying tilt of the Weyl cones. We show that when the spectrum is anisotropic and tilted due to spatial lattice variations, one is confronted with generalized quantum anomalies due to the effective fields stemming from the tilt structure. In particular, we demonstrate that the position-dependent tilt parameter induces local vorticity, thus generating a chiral vortical effect even in the absence of rotation or magnetic fields. As a consequence, it couples to the electric field and thus contributes to the anomalous Hall effect.