2019
DOI: 10.1103/physrevb.100.174201
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Anomalous transport through algebraically localized states in one dimension

Abstract: Localization in one-dimensional disordered or quasiperiodic non-interacting systems in presence of power-law hopping is very different from localization in short-ranged systems. Power-law hopping leads to algebraic localization as opposed to exponential localization in short-ranged systems. Exponential localization is synonymous with insulating behavior in the thermodynamic limit. Here we show that the same is not true for algebraic localization. We show, on general grounds, that depending on the strength of t… Show more

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Cited by 42 publications
(20 citation statements)
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“…These non-trivial phases of matter are the consequences of the driving and do not have any static analogue. Provided the understanding on long range quantum systems [104][105][106][107][108][109], it would be interesting to study the fate of the above phases along with the crossover region in long-range classical systems. The microscopic understanding of hydrodynamic picture and fluctuation-dissipation relation in dynamic systems are yet to be extensively analyzed in future.…”
Section: < L a T E X I T S H A 1 _ B A S E 6 4 = " Y E D S W H G R P ...mentioning
confidence: 99%
“…These non-trivial phases of matter are the consequences of the driving and do not have any static analogue. Provided the understanding on long range quantum systems [104][105][106][107][108][109], it would be interesting to study the fate of the above phases along with the crossover region in long-range classical systems. The microscopic understanding of hydrodynamic picture and fluctuation-dissipation relation in dynamic systems are yet to be extensively analyzed in future.…”
Section: < L a T E X I T S H A 1 _ B A S E 6 4 = " Y E D S W H G R P ...mentioning
confidence: 99%
“…for each site of the GAAH chain inspired by the usual inverse participation ratio used in studies of localization [41,79] The scaling of this quantity with the system size should…”
Section: (Color Online) (A)mentioning
confidence: 99%
“…The popular quasi-periodic lattice systems, namely, the Aubry-André-Harper (AAH), its generalised version GAAH model and the Fibonacci model [21,22] have been studied extensively in the context of boundary driven dissipative quantum transport [23][24][25][26][27][28][29]. Further studies have started to emerge to understand the environment induced effects on transport [30][31][32][33][34][35][36][37] in such systems.…”
Section: Introductionmentioning
confidence: 99%