# 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

### Dynamics of quasiperiodically driven spin systems.

- PhysicsPhysical review. E
- 2019

The Sutherland invariant for the underlying SO(3) matrix governing the dynamics of classical spin variables is derived and the fluctuations in the mean values of the spin operators exhibit fractality which is also present in the Floquet eigenstates.

### Non-power-law universality in one-dimensional quasicrystals

- PhysicsPhysical Review B
- 2018

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

- PhysicsPhysical Review B
- 2019

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

- PhysicsPhysical Review B
- 2019

There has been a revival of interest in localization phenomena in quasiperiodic systems with a view to examining how they differ fundamentally from such phenomena in random systems. Mo- tivated by…

### Many-body localization in a quasiperiodic Fibonacci chain

- PhysicsSciPost Physics
- 2019

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

- PhysicsPhysical Review B
- 2019

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

- PhysicsPhysical Review B
- 2021

We study a model of non-interacting spinless fermions coupled to local dephasing and boundary drive and described within a Lindblad master equation. The model features an interplay between infinite…

### Phenomenology of anomalous transport in disordered one-dimensional systems

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2020

We study anomalous transport arising in disordered one-dimensional spin chains, specifically focusing on the subdiffusive transport typically found in a phase preceding the many-body localization…

### Interaction instability of localization in quasiperiodic systems

- PhysicsProceedings of the National Academy of Sciences
- 2018

It is shown that no such theorem can exist by providing an explicit example of a one-dimensional many-body system in a quasiperiodic potential whose transport properties discontinuously change from localization to diffusion upon switching on interaction.

### Critical behaviour of the quasi-periodic quantum Ising chain

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

The interplay of correlated spatial modulation and symmetry breaking leads to quantum critical phenomena intermediate between those of the clean and randomly disordered cases. By performing a…

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