### Abstract

We consider two systems of wave equations whose wave packet solutions have trajectories that are altered by the "anomalous velocity" effect of a Berry curvature. The first is the matrix Weyl equation describing cyclotron motion of a charged massless fermion. The second is Maxwell equations for the whispering-gallery modes of light in a cylindrical waveguide. In the case of the massless fermion, the anomalous velocity is obscured by the contribution from the magnetic moment. In the whispering-gallery modes, the anomalous velocity causes the circumferential light ray to creep up the cylinder at the rate of one wavelength per orbit, and can be identified as a continuous version of the Imbert-Federov effect.

Original language | English (US) |
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Article number | 1550249 |

Journal | International Journal of Modern Physics B |

Volume | 30 |

Issue number | 2 |

DOIs | |

State | Published - Jan 20 2016 |

### Fingerprint

### Keywords

- Anomalous velocity
- Berry phase
- Imbert-Federov effect

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Condensed Matter Physics

### Cite this

**Berry phase and anomalous velocity of Weyl fermions and Maxwell photons.** / Stone, Michael.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Berry phase and anomalous velocity of Weyl fermions and Maxwell photons

AU - Stone, Michael

PY - 2016/1/20

Y1 - 2016/1/20

N2 - We consider two systems of wave equations whose wave packet solutions have trajectories that are altered by the "anomalous velocity" effect of a Berry curvature. The first is the matrix Weyl equation describing cyclotron motion of a charged massless fermion. The second is Maxwell equations for the whispering-gallery modes of light in a cylindrical waveguide. In the case of the massless fermion, the anomalous velocity is obscured by the contribution from the magnetic moment. In the whispering-gallery modes, the anomalous velocity causes the circumferential light ray to creep up the cylinder at the rate of one wavelength per orbit, and can be identified as a continuous version of the Imbert-Federov effect.

AB - We consider two systems of wave equations whose wave packet solutions have trajectories that are altered by the "anomalous velocity" effect of a Berry curvature. The first is the matrix Weyl equation describing cyclotron motion of a charged massless fermion. The second is Maxwell equations for the whispering-gallery modes of light in a cylindrical waveguide. In the case of the massless fermion, the anomalous velocity is obscured by the contribution from the magnetic moment. In the whispering-gallery modes, the anomalous velocity causes the circumferential light ray to creep up the cylinder at the rate of one wavelength per orbit, and can be identified as a continuous version of the Imbert-Federov effect.

KW - Anomalous velocity

KW - Berry phase

KW - Imbert-Federov effect

UR - http://www.scopus.com/inward/record.url?scp=84955419277&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955419277&partnerID=8YFLogxK

U2 - 10.1142/S0217979215502495

DO - 10.1142/S0217979215502495

M3 - Article

VL - 30

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

SN - 0217-9792

IS - 2

M1 - 1550249

ER -