Power law growth for the resistance in the Fibonacci model
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Publication:1279307
DOI10.1007/BF01053750zbMath0943.82507MaRDI QIDQ1279307
Publication date: 10 September 2000
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Related Items (17)
On the leading term and the degree of the polynomial trace mapping associated with a substitution ⋮ Unbounded trace orbits of Thue-Morse Hamiltonian ⋮ Hölder continuity of the integrated density of states for the Fibonacci Hamiltonian ⋮ Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. I: The essential support of the measure ⋮ Hierarchical structures in Sturmian dynamical systems ⋮ Schrödinger operators with dynamically defined potentials ⋮ Spectral and quantum dynamical properties of the weakly coupled Fibonacci Hamiltonian ⋮ A characterization of linearly repetitive cut and project sets ⋮ Local symmetries in the period-doubling sequence ⋮ The fractal dimension of the spectrum of the Fibonacci Hamiltonian ⋮ Singular continuous spectrum for a class of nonprimitive substitution Schrödinger operators ⋮ Schrödinger operators generated by locally constant functions on the Fibonacci subshift ⋮ Lower transport bounds for one-dimensional continuum Schrödinger operators ⋮ Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices ⋮ PACKING SUBORDINACY WITH APPLICATION TO SPECTRAL CONTINUITY ⋮ Substitution Hamiltonians with bounded trace map orbits ⋮ Upper bounds in quantum dynamics
Cites Work
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- Singular continuous spectrum on a Cantor set of zero Lebesgue measure for the Fibonacci Hamiltonian
- Symbolic dynamics for the renormalization map of a quasiperiodic Schrödinger equation
- The spectrum of a quasiperiodic Schrödinger operator
- Continuity properties of the electronic spectrum of 1D quasicrystals
- Spectral properties of one dimensional quasi-crystals
- Renormalization of Quasiperiodic Mappings
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