Surface bound states in the continuum in Dyakonov structures

Surface bound states in the continuum (SBICs) have been found to occur diverse settings, but so far always at interface of nonhomogeneous media, such as discrete lattices or periodic systems. Here, we show that they can also exist homogeneous resulting unique SBICs. Specifically, that, contrary general belief, leaky Dyakonov between materials exhibit opposite signs anisotropy. In addition, properly breaking anisotropy symmetry leads formation both guided and SBICs embedded within continuum. A direct implication our finding is possibility create a whole new class metamaterials.