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Critical Phase Dualities in 1D Exactly Solvable Quasiperiodic Models

Title
Critical Phase Dualities in 1D Exactly Solvable Quasiperiodic Models
Type
Article in International Scientific Journal
Year
2023
Authors
Gonçalves, M
(Author)
Other
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Amorim, B
(Author)
Other
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Ribeiro, P
(Author)
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Journal
Vol. 131
ISSN: 0031-9007
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Authenticus ID: P-00Z-C72
Abstract (EN): We propose a solvable class of 1D quasiperiodic tight-binding models encompassing extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting cases include the Aubry-André model and the models of Sriram Ganeshan, J. H. Pixley, and S. Das Sarma [Phys. Rev. Lett. 114, 146601 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.146601] and J. Biddle and S. Das Sarma [Phys. Rev. Lett. 104, 070601 (2010)PRLTAO0031-900710.1103/PhysRevLett.104.070601]. The analytical treatment follows from recognizing these models as a novel type of fixed points of the renormalization group procedure recently proposed in Phys. Rev. B 108, L100201 (2023)10.1103/PhysRevB.108.L100201 for characterizing phases of quasiperiodic structures. Beyond known limits, the proposed class of models extends previously encountered localized-delocalized duality transformations to points within multifractal critical phases. Besides an experimental confirmation of multifractal duality, realizing the proposed class of models in optical lattices allows stabilizing multifractal critical phases and nontrivial mobility edges in an undriven system without the need for the unbounded potentials required by previous proposals. © 2023 American Physical Society.
Language: English
Type (Professor's evaluation): Scientific
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