Non-Hermitian semi-Dirac semi-metals

Recently, many novel and exotic phases have been proposed by considering the role of topology in non-Hermitian systems, their emergent properties are wide current interest. In this work we propose generalization semi-Dirac semimetals, which feature a linear dispersion along one momentum direction quadratic other. We study topological phase transitions such two-dimensional semimetals presence particle gain-and-loss term. show that term creates exceptional points originating out each point. map diagram our model, using winding number vorticity as invariants system. By means numerical analytical calculations, examine nature edge states for different types models establish bulk-boundary correspondence absence skin effect, class. On other hand, classes with asymmetric hopping, restore an anomalous usually present systems.