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Fractality in nonequilibrium steady states of quasiperiodic systems
Varma, Vipin Kerala (Author), Mulatier, Clélia de (Author), Žnidarič, Marko (Author)

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Abstract
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 dynamics in the nonequilibrium steady state depends on the length of the chain chosen: generic length chains harbour qualitatively slower transport (different scaling exponent) than Fibonacci length chains, which is in turn slower than in the closed system. We conjecture that such fractal nonequilibrium steady states should arise in generic driven critical systems that have fractal properties.

Language:English
Keywords:condensed matter physics, nonequilibrium dynamics, quantum systems, fractals
Work type:Scientific work (r2)
Tipology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Year:2017
Publisher:American Physical Society
Number of pages:Str. 032130-1-032130-11
Numbering:Vol. 96, iss. 3
UDC:538.9
ISSN on article:2470-0045
DOI:10.1103/PhysRevE.96.032130 This link opens in a new window
COBISS.SI-ID:3128164 This link opens in a new window
Copyright:American Physical Society
Views:548
Downloads:606
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Record is a part of a journal

Title:Physical review
Shortened title:Phys. rev., E
Publisher:American Physical Society
ISSN:2470-0045
COBISS.SI-ID:2048366611 This link opens in a new window

Document is financed by a project

Funder:EC - European Commission
Funding Programme:H2020
Project no.:694544
Name:Open many-body non-equilibrium systems
Acronym:OMNES

Secondary language

Language:Slovenian
Keywords:fizika kondenzirane snovi, neravnovesna dinamika, kvantni sistemi, fraktali

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