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Effect of spin–orbit coupling in one-dimensional quasicrystals with power-law hopping

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  • Deepak Kumar Sahu

    (National Institute of Technology Rourkela)

  • Sanjoy Datta

    (National Institute of Technology Rourkela
    National Institute of Technology Rourkela)

Abstract

In the one-dimensional quasiperiodic Aubry–André–Harper Hamiltonian with nearest-neighbor hopping, all single-particle eigenstates undergo a phase transition from ergodic to localized states at a critical value of the quasiperiodic potential $$W/t = 2.0$$ W / t = 2.0 . There is no mobility edge in this system. However, in the presence of power-law hopping having the form $$1/r^a$$ 1 / r a , beyond a finite value of the quasiperiodic potential $$(W_c)$$ ( W c ) the mobility edge appears for $$a > 1$$ a > 1 , while, for $$0 1$$ a > 1 . However, in contrast to the previously reported results, we find that in this limit, similar to the other case, multiple mobility edges can exist with or without the spin–orbit coupling. Graphic Abstract

Suggested Citation

  • Deepak Kumar Sahu & Sanjoy Datta, 2022. "Effect of spin–orbit coupling in one-dimensional quasicrystals with power-law hopping," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(11), pages 1-11, November.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:11:d:10.1140_epjb_s10051-022-00454-2
    DOI: 10.1140/epjb/s10051-022-00454-2
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    References listed on IDEAS

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    1. Bo Yan & Steven A. Moses & Bryce Gadway & Jacob P. Covey & Kaden R. A. Hazzard & Ana Maria Rey & Deborah S. Jin & Jun Ye, 2013. "Observation of dipolar spin-exchange interactions with lattice-confined polar molecules," Nature, Nature, vol. 501(7468), pages 521-525, September.
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