Skip to Main content Skip to Navigation
Journal articles

Edge states and thermodynamics of rotating relativistic fermions under magnetic field

Abstract : We discuss free Dirac fermions rotating uniformly inside a cylindrical cavity in the presence of background magnetic field parallel to the cylinder axis. We show that in addition to the known bulk states the system contains massive edge states with the masses inversely proportional to the radius of the cylinder. The edge states appear at quantized threshold values of the fermion mass. In the limit of infinite fermion mass the masses of the edge states remain finite but, generally, nonzero as contrasted to the bulk states whose masses become infinite. The presence of magnetic field affects the spectrum of both bulk and edge modes, and the masses of the edge states may vanish at certain values of magnetic field. The moment of inertia of Dirac fermions is non-monotonically increasing, oscillating function of magnetic field. The oscillations are well pronounced in a low-temperature domain and they disappear at high temperatures.
Complete list of metadata

Cited literature [39 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01584865
Contributor : Maxim Chernodub <>
Submitted on : Monday, November 9, 2020 - 7:38:36 PM
Last modification on : Tuesday, February 23, 2021 - 3:04:02 PM
Long-term archiving on: : Wednesday, February 10, 2021 - 7:58:17 PM

File

1706.08448.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

M. N. Chernodub, Shinya Gongyo. Edge states and thermodynamics of rotating relativistic fermions under magnetic field. Physical Review D, American Physical Society, 2017, 96 (9), pp.096014. ⟨10.1103/PhysRevD.96.096014⟩. ⟨hal-01584865⟩

Share

Metrics

Record views

164

Files downloads

52