Spectral transition line for the extended Harper's model in the positive Lyapunov exponent regime
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DOI: 10.1016/j.jfa.2017.12.010
Abstract: We study the spectral transition line of the extended Harper's model in the positive Lyapunov exponent regime. We show that both pure point spectrum and purely singular continuous spectrum occur for dense subsets of frequencies… read more here.
Keywords: extended harper; line; transition line; harper model ... See more keywords
Realizing the Harper model with ultracold atoms in a ring lattice
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DOI: 10.1103/physreva.99.013604
Abstract: We demonstrate that all of the salient features of the Harper-Hofstadter model can be implemented with ultracold atoms trapped in a bichromatic ring-shaped lattice. Using realistic sinusoidal lattice potentials rather than assume the idealized tight-binding… read more here.
Keywords: harper model; lattice; model; realizing harper ... See more keywords
Generalized Aubry-André-Harper model with modulated hopping and p -wave pairing
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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