Quantum Hall effect in carbon nanotubes
E. Perfetto, J. Gonzalez, F. Guinea, S. Bellucci, P. Onorato
Abstract
We investigate the effects of a transverse magnetic field on the transport properties of carbon nanotubes, making use of a long-wavelength description in terms of Dirac fermion fields. For values of the magnetic length smaller than the nanotube radius, we observe that the electronic states organize into incipient Landau subbands, with a highly degenerate level at zero energy. We show that only the states in dispersive branches, localized at the flanks of the nanotube, are able to transport current in the longitudinal direction. This is at the origin of the quantization of the Hall conductivity, that turns out to be given by even multiples of 2 e2 /h. We also analyze the effects of the electron-electron interaction, showing that the magnetic field induces a suppression of the electronic correlations, reflected in particular in the enhancement of the tunneling density of states near the Fermi level.
Create a lesson
Related papers
ConvexAD: differentiable phase retrieval with geometric regularization for high-strain, low-signal Bragg coherent diffraction imaging
Matteo Masto, Ewen Bellec, Etienne Polack et al.
Symmetry-protected isolation of the quantum metric in chiral type-II semi-Dirac semimetals
Wen-Hao Bian, Jing Wang
Torsion, valley holonomy, and Berry phases of quasiparticles encircling dislocations and defect complexes in graphene
G. Q. Garcia, A. M. de M. Carvalho, C. Furtado
Field-free transverse response in altermagnet and topological insulator heterojunctions
Bijay Kumar Sahoo, Abhiram Soori
Nonlinearity-Induced Suppression of Dissipation in Bath-Coupled Floquet Topological Insulators
Bhoomija Chaurasia, Sebabrata Mukherjee
Dissipationless valley diode effects in Kekulé graphene superlattices
W. Zeng