On transport properties of isotropic quasiperiodic $XY$ spin chains

Abstract

We consider isotropic $XY$ spin chains whose magnetic potentials are quasiperiodic and the effective one-particle Hamiltonians have absolutely continuous spectra. For a wide class of such $XY$ spin chains, we obtain lower bounds on their Lieb--Robinson velocities in terms of group velocities of their effective Hamiltonians: $\mathfrak{v}\ge {\mathrm{ess}\sup }_{[0,1]}\frac{2}{\pi }\frac{dE}{dN},$ where $E$ is considered as a function of the integrated density of states.

13 pages

References in corpus (1)

• Quantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems

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