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

Deepak Kumar Sahu () and Sanjoy Datta ()
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Deepak Kumar Sahu: National Institute of Technology Rourkela
Sanjoy Datta: National Institute of Technology Rourkela

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 11, 1-11

Abstract: 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

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00454-2

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