Critical analysis of the reentrant localization transition in a one-dimensional dimerized quasiperiodic lattice

Roy, Shilpi; Chattopadhyay, Sourav; Mishra, Tapan; Basu, Saurabh

doi:10.1103/physrevb.105.214203

Cited by 14 publications

(2 citation statements)

References 52 publications

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“…On the contrary, when the wavefunction is localized, PR ∼ ξ 3 with ξ the localization length, and NPR ≈ 0. As L → ∞, NPR is the fractal dimension [3,62,63]. In Fig.…”

Section: Phase Diagram and Mobility Edgementioning

confidence: 99%

Universality classes of the Anderson transitions driven by quasiperiodic potential

Luo¹,

Ohtsuki²

2022

Preprint

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“…On the contrary, when the wavefunction is localized, PR ∼ ξ 3 with ξ the localization length, and NPR ≈ 0. As L → ∞, NPR is the fractal dimension [3,62,63]. In Fig.…”

Section: Phase Diagram and Mobility Edgementioning

confidence: 99%

Universality classes of the Anderson transitions driven by quasiperiodic potential

Luo¹,

Ohtsuki²

2022

Preprint

View full text Add to dashboard Cite

“…的进一步增加, 系统再次进入完全局域相区. 这2 次局域化转变会经过2个中间相区域, 同时伴随着迁移率边的出现 [24][25][26][27][28][29][30][31] , 并且系统中存在4个转变点. 最近非厄米系统中也发现了重返局域化及多次重返局域化的现象, 并且重返局域化现象可以通过波包动力学进行探测 [32][33][34][35][36] .…”

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Reentrant localization phenomenon in one-dimensional cross-stitch lattice with flat band

Lu,

2024

Acta Phys. Sin.

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In this paper, we present a numerical study of the localization properties in a quasi-periodic modulated one-dimensional cross-stitch lattice with a flat band. When △ = 0, it is found that there are two different quasi-periodic modulation frequencies in the system after the local transformation, and the competing modulation by two frequencies may lead to the reentrant localization transition in the system. By numerically solving the fractal dimension, the average inverse participation ratio, and the average normalized participation ratio, we confirm that the system can undergo twice localization transitions. It means the system first becomes localized as the disorder increases, at some critical points, some of the localized states go back to the delocalized ones, and as the disorder further increases, the system again becomes fully localized. By the scalar analysis of the normalized participation ratio, we confirm that reentrant localization stable exist in the system. And the local phase diagram is also obtained. From the local phase diagram, we find that when 1.6 < △ < 1.9, the system undergoes through a cascade of delocalization-localization-delocalization-localization transitions by increasing λ. When △ = 0, there exists only one quasi-periodic modulation frequency in the system. And we analytically obtains the expressions of the mobility edges, which are in agreement with the numerical studies by calculating the fractal dimension. And the system exhibits one localization transition. This work could expand the understanding of the reentrant localization in a flat band system and offers a new perspective on the research of the reentrant localization transition.

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Observation of reentrant metal-insulator transition in a random-dimer disordered SSH lattice

Xu,

Gao,

Iovan

et al. 2024

npj Nanophoton.

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The interrelationship between localization, quantum transport, and disorder has remained a fascinating focus in scientific research. Traditionally, it has been widely accepted in the physics community that in one-dimensional systems, as disorder increases, localization intensifies, triggering a metal-insulator transition. However, a recent theoretical investigation [Phys. Rev. Lett. 126, 106803] has revealed that the interplay between dimerization and disorder leads to a reentrant localization transition, constituting a remarkable theoretical advancement in the field. Here, we present the first experimental observation of reentrant localization using an experimentally friendly model, a photonic SSH lattice with random-dimer disorder, achieved by incrementally adjusting synthetic potentials. In the presence of correlated on-site potentials, certain eigenstates exhibit extended behavior following the localization transition as the disorder continues to increase. We directly probe the wave function in disordered lattices by exciting specific lattice sites and recording the light distribution. This reentrant phenomenon is further verified by observing an anomalous peak in the normalized participation ratio. Our study enriches the understanding of transport in disordered mediums and accentuates the substantial potential of integrated photonics for the simulation of intricate condensed matter physics phenomena.

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Critical analysis of the reentrant localization transition in a one-dimensional dimerized quasiperiodic lattice

Cited by 14 publications

References 52 publications

Universality classes of the Anderson transitions driven by quasiperiodic potential

Universality classes of the Anderson transitions driven by quasiperiodic potential

Reentrant localization phenomenon in one-dimensional cross-stitch lattice with flat band

Observation of reentrant metal-insulator transition in a random-dimer disordered SSH lattice

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