332 citations · 1.9k across the 66 of their papers we have counts for
66 papers
The Hofstadter Butterfly: Bridging Condensed Matter, Topology, and Number Theory
Indubala Satija
Celebrating its golden jubilee, the Hofstadter butterfly fractal emerges as a remarkable fusion of art and science. This iconic X shaped fractal captivates physicists, mathematicia…
Building the Butterfly Fractal: The Eightfold Way
Indubala I Satija
The hierarchical structure of the butterfly fractal -- the Hofstader butterfly, is found to be described by an octonary tree. In this framework of building the butterfly graph, eve…
Geometry, Number Theory and the Butterfly Spectrum of Two-Dimensional Bloch Electrons
Indubala Satija
We take a deeper dive into the geometry and the number theory that underlay the butterfly graphs of the Harper and the generalized Harper models of Bloch electrons in a magnetic fi…
Kaleidoscopic Symmetries and Self-Similarity of Integral Apollonian Gaskets
Indubala I Satija
We describe various kaleidoscopic and self-similar aspects of the integral Apollonian gaskets - fractals consisting of close packing of circles with integer curvatures. Self-simila…
Tuning the topology of -wave superconductivity in an analytically solvable two-band model
Haiping Hu, Erhai Zhao, Indubala I. Satija
We introduce and solve a two-band model of spinless fermions with -wave pairing on a square lattice. The model reduces to the well-known extended Harper-Hofstadter model with…
What do Bloch Electrons in a Magnetic Field have to do with Apollonian packing of Circles ?
Indubala I Satija
Integral Apollonian packing, the packing of circles with integer curvatures, where every circle is tangent to three other mutually tangent circles, is shown to encode the fractal s…