The axion insulator is a higher-order topological protected by inversion symmetry. We show that, under quenched disorder respecting symmetry on average, the topology of stays robust, and an intermediate metallic phase in which states are delocalized unavoidable at transition from to trivial insulator. derive this conclusion general arguments, classical percolation theory, numerical study 3D qua...

We show that the six-vertex model with parameter $c\in[\sqrt 3, 2]$ on a square lattice torus has an ergodic infinite-volume limit as size of grows to infinity. Moreover we prove for $c\in[\sqrt{2+\sqrt 2}, 2]$, associated height function $\mathbb Z^2$ unbounded variance. The proof relies extension Baxter-Kelland-Wu representation multi-point correlation functions spin model. Other crucial ingr...

Delocalization theory provides an approach to international arbitration laws, which enhances the parties’ autonomy and contractual freedom in process. The core of this is supporting recognition enforcement foreign arbitral awards even though these are regarded null voided original country. Based on doctrinal analysis delocalization as well opinions some national courts recognizing enforcing awa...

The transition from localized to delocalized plasmons (i.e. the transition from a situation where the decay length of a travelling surface plasma wave is greater than its propagation distance to a situation where it is smaller) and hence the onset of plasmon delocalization is studied in a single 2D silver nanoparticle of increasing length. A fourier analysis in the near-field of the nanoparticl...

Marginally bound systems of two types of branes are considered, such as the prototypical case of Dp+4 branes and Dp branes. As the transverse separation between the two types of branes goes to zero, different behaviour occurs in the supergravity solutions depending on p; no-hair theorems result for p≤1 only. Within the framework of the AdS/CFT correspondence, these supergravity no-hair results ...