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2009

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

Banerjee, S., Singh, R. R. P., Pardo, V. et al.

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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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