  Semi-Dirac materials in 2D present an anisotropic dispersion relation, linear
along one direction and quadratic along the perpendicular one. This study
explores the topological properties and the influence of disorder in a 2D
semi-Dirac Hamiltonian. Anisotropic edge states appear only in one direction.
Their topological protection can be rigorously founded on the Zak phase of the
one-dimensional reduction of the semi-Dirac Hamiltonian, parametrically
depending on one of the momenta. In general, only a single value of the
momentum is topologically protected so these systems can be considered as high
order momentum topological insulators. We explore the dependence on the
disorder of the edge states and the robustness of the topological protection in
these materials. We also explore the consequences of the high order topological
protection in momentum space for the transport properties in a two-terminal
configuration.
