Engineering insulator-metal transition in a class of decorated aperiodic lattices: A quantum dynamical study

@article{Maity2021EngineeringIT,
  title={Engineering insulator-metal transition in a class of decorated aperiodic lattices: A quantum dynamical study},
  author={Arka Maity and Arunava Chakrabarti},
  journal={Physics Letters A},
  year={2021}
}

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References

SHOWING 1-10 OF 24 REFERENCES
Renormalization-group analysis of extended electronic states in one-dimensional quasiperiodic lattices.
TLDR
It is shown that even in the absence of translational invariance, extended states arise in a class of such lattices if they possess a certain local correlation among the constituent atoms, even though the polynomial invariant associated with the trace map is non-vanishing.
Physical nature of critical wave functions in Fibonacci systems.
TLDR
This Letter shows analytically that a subset of the CWFs belonging to general Fibonacci systems are extended from a physical point of view, which widens the notion of extended wave function to include electronic states which are not Bloch functions, and it is a relevant first step to clarify the precise manner in which the quasiperiodic order of fibre systems influences their transport properties.
Quantum dynamics in quasiperiodic systems
The electronic motion in quasiperiodic systems (the Harper model, the Fibonacci chain, two- and three-dimensional Fibonacci quasilattices) is studied, in the framework of a tight-binding Hamiltonian.
Complete absence of localization in a family of disordered lattices
We present analytically exact results to show that certain quasi–one-dimensional lattices, where the building blocks are arranged in a random fashion, can have an absolutely continuous part in the
Wave packet dynamics, ergodicity, and localization in quasiperiodic chains
In this paper, we report results for the wave packet dynamics in a class of quasiperiodic chains consisting of two types of weakly coupled clusters. The dynamics are studied by means of the return
Anomalous dynamical scaling and bifractality in the one-dimensional Anderson model
We investigate dynamical scaling properties of the one-dimensional tight-binding Anderson model with weak diagonal disorder, by means of the spreading of a wavepacket. In the absence of disorder, and
Critical wave functions and a Cantor-set spectrum of a one-dimensional quasicrystal model.
TLDR
The electronic properties of a tight-binding model which possesses two types of hopping matrix element arranged in a Fibonacci sequence are studied and the fractal dimensions f(ae) represents the global scaling properties of the Cantor-set spectrum.
Origin of the log-periodic oscillations in the quantum dynamics of electrons in quasiperiodic systems
Recently, the occurrence of log-periodic oscillations in the quantum dynamics of electrons was reported for the one-dimensional Fibonacci quasicrystal by Lifshitz and Even-Dar Mandel. We apply a
Direct observation of Anderson localization of matter waves in a controlled disorder
TLDR
This work directly image the atomic density profiles as a function of time, and finds that weak disorder can stop the expansion and lead to the formation of a stationary, exponentially localized wavefunction—a direct signature of Anderson localization.
Anderson localization and nonlinearity in one-dimensional disordered photonic lattices.
TLDR
An intermediate regime is found in which the ballistic and localized components coexist while diffusive dynamics is absent and evidence is found for a faster transition into localization under nonlinear conditions.
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