Topological materials hosting metallic edges characterized by integer-quantized
conductivity in an insulating bulk have revolutionized our understanding of transport in …

We calculate the Hall conductivity of a Sierpiński carpet using Kubo-Bastin formula. The
quantization of Hall conductivity disappears when we increase the depth of the fractal, and …

The search for novel topological quantum states has recently moved beyond naturally
occurring crystalline materials to complex and engineered systems. In this work we …

We propose realization of non-Abelian topological superconductivity in two-dimensional
quasicrystals by the same mechanism as in crystalline counterparts. Specifically, we study a …

Topological phases of matter are often understood and predicted with the help of crystal
symmetries although they don't rely on them to exist. In this chapter, we review how …

Topologically nontrivial phases have recently been reported on self-similar structures. Here
we investigate the effect of local structure, specifically the role of the coordination number …

Topological materials hosting metallic edges characterized by integer quantized conductivity
in an insulating bulk have revolutionized our understanding of transport in matter. The …

In this article, we study the energy spectrum of fractals which has block-hierarchical
structure. We develop a method to study the spectral properties in terms of linearization of …

Studying the wave-particle nature of electrons in different ways has lead to many
fundamental discoveries. Particularly, the dimensionality dependent electronic behavior in …

Topological materials hosting metallic edges characterized by integer quantized conductivity
in an insulating bulk have revolutionized our understanding of transport in matter. The …