48 citations · 82 across the 4 of their papers we have counts for
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Hausdorff dimension of the spectrum of the square Fibonacci Hamiltonian
William Yessen
Denoting the Hausdorff dimension of the Fibonacci Hamiltonian with coupling by , we prove that for all but countably many , the Hausdorff dimension of the spe…
New Anomalous Lieb-Robinson Bounds in Quasi-Periodic XY Chains
David Damanik, Marius Lemm, Milivoje Lukic +1
We announce and sketch the rigorous proof of a new kind of anomalous (or sub-ballistic) Lieb-Robinson bound for an isotropic XY chain in a quasi-periodic transversal magnetic field…
Quantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems
David Damanik, Milivoje Lukic, William Yessen
We investigate quantum dynamics with the underlying Hamiltonian being a Jacobi or a block Jacobi matrix with the diagonal and the off-diagonal terms modulated by a periodic or a li…
Properties of 1D classical and quantum Ising quasicrystals: rigorous results
W. N. Yessen
In this paper we consider one-dimensional classical and quantum spin-1=2 quasiperiodic Ising chains, with two-valued nearest neighbor interaction modulated by a Fibonacci substitut…