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Breakup of a Dimer: a New Approach to Localization Transition
Ignacio Gomez, Indubala I. Satija
Within the framework of tight binding models, aperiodic systems are mapped to a renormalized lattice with a dimer defect. In models exhibiting metal-insulator transition, the dimer…
Dimer-Type Correlations and Band Crossings in Fibonacci Lattices
Ignacio G. Cuesta, Indubala I. Satija
Fibonacci system with both diagonal and off-diagonal disorder is mapped to a model with dimer type 'defects'. The model exhibit resonance transition corresponding to zero reflectan…
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…