Fractality in nonequilibrium steady states of quasiperiodic systems

Varma, Vipin Kerala (author), Mulatier, Clélia de (author), Žnidarič, Marko (author)

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
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Publisher: American Physical Society
• Year: 2017
• Number of pages: Str. 032130-1-032130-11
• Numbering: Vol. 96, iss. 3
• PID: 20.500.12556/RUL-95809
• UDC: 538.9
• ISSN on article: 2470-0045
• DOI: 10.1103/PhysRevE.96.032130
• COBISS.SI-ID: 3128164

Copyright

American Physical Society

• Publication date in RUL: 21.09.2017

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

Secondary language

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

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open many-body non-equilibrium systems
• Acronym: OMNES