Quantum structure of the chiral vortical effect and boundary-induced vortical pumping

Fuente: arXiv
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Main Authors: Song, B. Q., Hosur, Pavan
Format: Preprint
Published: 2026
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author Song, B. Q.
Hosur, Pavan
author_facet Song, B. Q.
Hosur, Pavan
contents The chiral vortical effect (CVE) -- an axial current driven by rotation in chiral matter -- appears in systems ranging from relativistic fluids to Weyl semimetals, yet its quantum origin remains unclear because existing derivations are semiclassical. We present an exact quantum solution of a rotating Weyl fermion in a finite cylinder. We show that the bulk vortical response is entirely a magnetization current while the current density on the rotation axis remains finite and matches semiclassical predictions. For spin-polarized boundary conditions, we uncover an additional effect beyond the known CVE: a robust family of chiral modes that transport axial charge, $ΔQ=χN^2\,Δθ/4π$, under rotation by angle $Δθ$, where $χ$ is the Weyl node chirality and $N$ is the number of chiral modes. The pump is independent of temperature, Fermi level and Weyl velocities, but depends on the UV-sensitive number $N$. These results establish a fully quantum picture of the CVE and reveal a boundary-enforced chiral spectral structure underlying vortical response in Weyl systems.
format Preprint
id arxiv_https___arxiv_org_abs_2604_01293
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum structure of the chiral vortical effect and boundary-induced vortical pumping
Song, B. Q.
Hosur, Pavan
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
The chiral vortical effect (CVE) -- an axial current driven by rotation in chiral matter -- appears in systems ranging from relativistic fluids to Weyl semimetals, yet its quantum origin remains unclear because existing derivations are semiclassical. We present an exact quantum solution of a rotating Weyl fermion in a finite cylinder. We show that the bulk vortical response is entirely a magnetization current while the current density on the rotation axis remains finite and matches semiclassical predictions. For spin-polarized boundary conditions, we uncover an additional effect beyond the known CVE: a robust family of chiral modes that transport axial charge, $ΔQ=χN^2\,Δθ/4π$, under rotation by angle $Δθ$, where $χ$ is the Weyl node chirality and $N$ is the number of chiral modes. The pump is independent of temperature, Fermi level and Weyl velocities, but depends on the UV-sensitive number $N$. These results establish a fully quantum picture of the CVE and reveal a boundary-enforced chiral spectral structure underlying vortical response in Weyl systems.
title Quantum structure of the chiral vortical effect and boundary-induced vortical pumping
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
url https://arxiv.org/abs/2604.01293