Fractality in nonequilibrium steady states of quasiperiodic systems.

@article{Varma2017FractalityIN,
  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},
  year={2017},
  volume={96 3-1},
  pages={
          032130
        }
}
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

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References

SHOWING 1-8 OF 8 REFERENCES

SCHRÖDINGER OPERATORS IN THE TWENTY-FIRST CENTURY

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

We discuss the recent proof of Cantor spectrum for the almost Mathieu operator for all conjectured values of the parameters.

Commun

  • Math. Phys
  • 1976

Nature 471

  • 319
  • 2011

and M

  • Kulkarni, arXiv: 1702.05228v1
  • 2017

Science 327

  • 665
  • 2010

SIAM Review 12

  • 544
  • 1970