Power law growth for the resistance in the Fibonacci model

DOI10.1007/BF01053750zbMath0943.82507MaRDI QIDQ1279307

Bruno Iochum, Daniel Testard

Publication date: 10 September 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

transfer matrixperiodic HamiltonianFibonacci chain

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10)

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

• Unnamed Item
• 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

This page was built for publication: Power law growth for the resistance in the Fibonacci model