Helical magnetic effect and the chiral anomaly

Naoki Yamamoto, Di Lun Yang

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


In the presence of the fluid helicity v·ω, the magnetic field induces an electric current of the form j=CHME(v·ω)B. This is the helical magnetic effect (HME). We show that for massless Dirac fermions with charge e=1, the transport coefficient CHME is fixed by the chiral anomaly coefficient C=1/(2π2) as CHME=C/2 independently of interactions. We show the conjecture that the coefficient of the magnetovorticity coupling for the local vector charge, n=CBωB·ω, is related to the chiral anomaly coefficient as CBω=C/2. We also discuss the condition for the emergence of the helical plasma instability that originates from the HME.

Original languageEnglish
Article number125003
JournalPhysical Review D
Issue number12
Publication statusPublished - 2021 Jun 15

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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