Remarks on the spectral properties of tight-binding and Kronig-Penney models with substitution sequences

DOI10.1088/0305-4470/28/8/022zbMath1044.82547arXivcond-mat/9402102OpenAlexW3101303970MaRDI QIDQ4716556

Anton Bovier, Jean-Michel Ghez

Publication date: 1995

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9402102

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

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Spectra of discrete Schrödinger operators with primitive invertible substitution potentials ⋮ Spectral and quantum dynamical properties of the weakly coupled Fibonacci Hamiltonian ⋮ Discrete breathers in aperiodic diatomic FPU lattices with long range order ⋮ Chaos-based potentials in the one-dimensional tight-binding model probed by the inverse participation ratio ⋮ Continuum Schrödinger operators associated with aperiodic subshifts ⋮ Quantum chaos in quantum Turing machines ⋮ On the correlation dimension of the spectral measure for the Thue-Morse sequence ⋮ A nonprimitive substitution Schrödinger operator with generic singular continuous spectrum ⋮ Tight Binding Hamiltonians and Quantum Turing Machines ⋮ Influence of noise on dynamics with fractal Fourier spectra ⋮ Quantum network architecture of tight-binding models with substitution sequences

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