Fractality in nonequilibrium steady states of quasiperiodic systems.

  title={Fractality in nonequilibrium steady states of quasiperiodic systems.},
  author={Vipin Kerala Varma and Cl{\'e}lia de Mulatier and Marko Znidaric},
  journal={Physical review. E},
  volume={96 3-1},
We investigate the nonequilibrium response of quasiperiodic systems to boundary driving. In particular, we focus on the Aubry-André-Harper model at its metal-insulator transition and the diagonal Fibonacci model. We find that opening the system at the boundaries provides a viable experimental technique to probe its underlying fractality, which is reflected in the fractal spatial dependence of simple observables (such as magnetization) in the nonequilibrium steady state. We also find that the… 
21 Citations

Dynamics of quasiperiodically driven spin systems.

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Non-power-law universality in one-dimensional quasicrystals

We have investigated scaling properties of the Aubry--Andr\'e model and related one-dimensional quasiperiodic Hamiltonians near their localization transitions. We find numerically that the scaling of

Diffusive transport in a quasiperiodic Fibonacci chain: Absence of many-body localization at weak interactions

We study high-temperature magnetization transport in a many-body spin-1/2 chain with on-site quasiperiodic potential governed by the Fibonacci rule. In the absence of interactions it is known that

Transport, multifractality, and the breakdown of single-parameter scaling at the localization transition in quasiperiodic systems

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Many-body localization in a quasiperiodic Fibonacci chain

We study the many-body localization (MBL) properties of a chain of interacting fermions subject to a quasiperiodic potential such that the non-interacting chain is always delocalized and displays

Asymmetry in energy versus spin transport in certain interacting disordered systems

We study energy transport in XXZ spin chains driven to nonequilibrium configurations by thermal reservoirs of different temperatures at the boundaries. We discuss the transition between diffusive and

Diffusion and thermalization in a boundary-driven dephasing model

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Phenomenology of anomalous transport in disordered one-dimensional systems

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Interaction instability of localization in quasiperiodic systems

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Exponential size scaling of the Liouvillian gap in boundary-dissipated systems with Anderson localization

We carry out a systematical study of the size scaling of Liouvillian gap in boundary-dissipated one-dimensional quasiperiodic and disorder systems. By treating the boundary-dissipation operators as a




The copyright law of the United States (Title 17, United States Code) governs the making of photocopies or other reproductions of copyrighted materials. Under certain conditions specified in the law,

Solving the Ten Martini Problem

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