332 citations · 1.9k across the 66 of their papers we have counts for
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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…
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…
Nests and Chains of Hofstadter Butterflies
Indubala I. Satija, Michael Wilkinson
The \lq Hofstadter butterfly', a plot of the spectrum of an electron in a two-dimensional periodic potential with a uniform magnetic field, contains subsets which resemble small, d…
Pythagorean Triplets, Integral Apollonians and The Hofstadter Butterfly
Indubala Satija
Hierarchical sets such as the Pythagorean triplets () and the integral Apollonian gaskets () are iconic mathematical sets made up of integers that resonate wit…
Anholonomy and Geometrical Localization in Dynamical Systems
Radha Balakrishnan, Indubala Satija
We characterize the geometrical and topological aspects of a dynamical system by associating a geometric phase with a phase space trajectory. Using the example of a nonlinear drive…
in Kicked Harper Model: Reassurances and Surprises
Indubala I Satija, Tomaz Prosen
We investigate classical-quantum correspondence for kicked Harper model for extremely small values of the Planck constant . In the asymmetric case a pure quantum state shows…
Dimer Decimation and Intricately Nested Localized-Ballistic Phases of Kicked Harper
Tomaž Prosen, Indubala I Satija, Nausheen R. Shah
Dimer decimation scheme is introduced in order to study the kicked quantum systems exhibiting localization transition. The tight-binding representation of the model is mapped to a…