Tight-binding modeling and low-energy behavior of the semi-Dirac point

Details Tight-binding modeling and low-energy behavior of the semi-Dirac point Tight-binding modeling and low-energy behavior of the semi-Dirac point

2009-06-08

arxiv.org/abs/0906.1564v1

Phys. Rev. Lett. 103, 016402 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

accepted for publication in Physical Review Letters

Scientific paper

We develop a tight-binding model description of semi-Dirac electronic spectra, with highly anisotropic dispersion around point Fermi surfaces, recently discovered in electronic structure calculations of VO$_2$/TiO$_2$ nano-heterostructures. We contrast their spectral properties with the well known Dirac points on the honeycomb lattice relevant to graphene layers and the spectra of bands touching each other in zero-gap semiconductors. We also consider the lowest order dispersion around one of the semi-Dirac points and calculate the resulting electronic energy levels in an external magnetic field. We find that these systems support apparently similar electronic structures but diverse low-energy physics.

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