Fermi surface reconstruction in the nematic state in underdopded d-wave superconductors

We study the nematic state generated by strong impurities by mean-field model in a two-dimensional square lattice. The impurity concentration is considered as a control parameters. As the impurity concentration increases, the appearance of the smectic and nematic states indicates that the spin-density-wave order and the superconducting order are intertwined each other. The density-of-states show that around the Fermi energy, the sub-gap induced by the SDW order is smeared out gradually and the impurity states emerge in the nematic state. Furthermore, the plateau in the superfluid density also indicates the partial existences of the SDW order and the sub-gap in the smetic state. As the impurity state emerges, the superfluid density decreases due to the impurities destroyed superconductivity associated the enhanced magnetization. These results provide an evidence to explain the experimental results of the Fermi surface reconstruction in the nematic state.