43 citations · 85 across the 11 of their papers we have counts for
11 papers
Localization and Fluctuations in Quantum Kicked Rotors
Indubala I. Satija, Bala Sundaram, Jukka A. Ketoja
We address the issue of fluctuations, about an exponential lineshape, in a pair of one-dimensional kicked quantum systems exhibiting dynamical localization. An exact renormalizatio…
Hidden Dimer in the Frenkel-Kontorova model
Jukka A. Ketoja, Indubala I. Satija
The incommensurability of the supercritical Frenkel-Kontorova model is decomposed into a family of dimer type "defects" by appropriate decimations. Interestingly, this hidden dimer…
Critical and Supercritical Dynamics of Quasiperiodic Systems
Jukka A. Ketoja, Indubala I. Satija
The almost periodic eigenvalue problem described by the Harper equation is connected to other classes of quasiperiodic behaviour: the dissipative dynamics on critical invariant tor…
``Critical'' phonons of the supercritical Frenkel-Kontorova model: renormalization bifurcation diagrams
Jukka A. Ketoja, Indubala I. Satija
The phonon modes of the Frenkel-Kontorova model are studied both at the pinning transition as well as in the pinned (cantorus) phase. We focus on the minimal frequency of the phono…
Reentrant Phase Diagram of Two-Dimensional Electron Gas
Jukka A. Ketoja, Indubala I. Satija
We study the phase diagram of an electron on a square lattice in a transverse magnetic field. Using a renormalization scheme, we show that the inequality of the two next-nearest ne…
Bloch Electron on a Triangular Lattice and Quantum Ising Model in a Transverse Field
Jukka A. Ketoja, Indubala I. Satija
The tight binding model for an electron on an anisotropic triangular lattice in a uniform magnetic field is studied using a decimation scheme. The model exhibits a transition from…