The Aubry–André model as a hobbyhorse for understanding the localization phenomenon
Sign Up to like & getrecommendations! Published in 2019 at "European Journal of Physics"
DOI: 10.1088/1361-6404/ab1670
Abstract: We present a thorough pedagogical analysis of the single particle localization phenomenon in a quasiperiodic lattice in one dimension. Description of disorder in the lattice is represented by the Aubry-Andre model. Characterization of localization is… read more here.
Keywords: aubry andr; localization; localization phenomenon; andr model ... See more keywords
Topological properties in Aubry-André-Harper model with p-wave superconducting pairing
Sign Up to like & getrecommendations! Published in 2023 at "Progress of Theoretical and Experimental Physics"
DOI: 10.1093/ptep/ptad043
Abstract: We study the topological properties of the one-dimensional p-wave Aubry-André-Harper(AAH) model with periodic incommensurate potential and transition coupling. The calculation results show that due to co-influence of the incommensurate potential and modulation phase, three topological… read more here.
Keywords: andr harper; aubry andr; topological properties; topological phase ... See more keywords
Non-equilibrium dynamics of localization phase transition in the non-Hermitian Disorder-Aubry-André model
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review A"
DOI: 10.1103/26fx-j27m
Abstract: The driven dynamics of localization transitions in a non-Hermitian Disordered Aubry-Andr\'{e} (DAA) model are examined under both open boundary conditions (OBC) and periodic boundary conditions (PBC). Through an analysis of the static properties of observables,… read more here.
Keywords: non hermitian; dynamics localization; aubry andr; localization ... See more keywords
Generalized Aubry-André-Harper model with modulated hopping and p -wave pairing
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.100.064202
Abstract: We study an extended Aubry-Andr{e}-Harper model with simultaneous modulation of hopping, on-site potential, and $p$-wave superconducting pairing. For the case of commensurate modulation of $\beta = 1/2$ it is shown that the model hosts four… read more here.
Keywords: harper model; andr harper; case; aubry andr ... See more keywords
Localization and topological phase transitions in non-Hermitian Aubry-André-Harper models with p -wave pairing
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.103.214202
Abstract: We study non-Hermitian Aubry-André-Harper models with p-wave pairing, where the nonHermiticity is introduced by on-site complex quasiperiodic potentials. By analysing the PT symmetry breaking, winding numbers of energy spectra, localization and fractal dimensions of states,… read more here.
Keywords: non hermitian; aubry andr; phase transitions; hermitian aubry ... See more keywords
Observation of Interaction-Induced Mobility Edge in an Atomic Aubry-André Wire.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.129.103401
Abstract: A mobility edge, a critical energy separating localized and extended excitations, is a key concept for understanding quantum localization. The Aubry-André (AA) model, a paradigm for exploring quantum localization, does not naturally allow mobility edges… read more here.
Keywords: mobility; mobility edge; aubry andr; induced mobility ... See more keywords
Topological phase transitions and switchable edge states for the non-Hermitian Aubry-André-Harper model in photonic crystals.
Sign Up to like & getrecommendations! Published in 2025 at "Optics letters"
DOI: 10.1364/ol.554513
Abstract: The Aubry-André-Harper (AAH) model with imaginary periodic or quasiperiodic modulations could regulate the local properties of the system. In this work, we apply the non-Hermitian AAH potential field to the photonic system induced by gain… read more here.
Keywords: andr harper; edge states; non hermitian; model ... See more keywords