In this work, we study the disorder effects on bulk-boundary correspondence of two-dimensional higher-order topological insulators (HOTIs). We concentrate two cases: (i) bulk-corner correspondence, (ii) edge-corner correspondence. For case, demonstrate existence mobility gaps and clarify related invariant that characterizes gap. Furthermore, find that, while system preserves in presence disorde...

We show that the vibrational entropy can play a crucial role in determining the equilibrium structure of clusters by constructing structural phase diagrams showing how the structure depends upon both size and temperature. These phase diagrams are obtained for example rare gas and metal clusters.

The response behavior of the topology of various phase diagrams corresponding to different physicochemical systems has been studied. Our study relies on using the 2-D transverse field ising model and considering only distinct nearest neighbor pair-exchange interaction. We calculate phase diagrams in the polarization-temperature phase space with the aid of the Mathcad computer software. The theo...

We propose a model that accounts for the budding behavior of domains in lipid bilayers, where each of the bilayer leaflets has a coupling between its local curvature and the local lipid composition. The compositional asymmetry between the two monolayers leads to an overall spontaneous curvature. The membrane free energy contains three contributions: the bending energy, the line tension, and a L...