Self-duality of one-dimensional quasicrystals with spin-orbit interaction

Sahu, Deepak Kumar; Acharya, Aruna Prasad; Choudhuri, Debajyoti; Datta, Sanjoy

doi:10.1103/physrevb.104.054202

Cited by 7 publications

(2 citation statements)

References 58 publications

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“…This follows from the self-duality property of the Hermitian AAH Hamiltonian without the RSO interaction. Recently, we have shown that the Hermitian AAH Hamiltonian is self-dual in the presence of the RSO [28], which can also be deduced from Eq. ( 7).…”

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confidence: 81%

Localization, $\mathcal{PT}$-Symmetry Breaking and Topological Transitions in non-Hermitian Quasicrystals

Acharya,

Chakrabarty,

Sahu

et al. 2021

Preprint

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According to the topological band theory of a Hermitian system, the different electronic phases are classified in terms of topological invariants, wherein the transition between the two phases characterized by a different topological invariant is the primary signature of a topological phase transition. Recently, it has been argued that the delocalization-localization transition in a quasicrystal, described by the non-Hermitian PT -symmetric extension of the Aubry-André-Harper (AAH) Hamiltonian can also be identified as a topological phase transition. Interestingly, the PT -symmetry also breaks down at the same critical point. However, in this article, we have shown that the delocalization-localization transition and the PT -symmetry breaking are not connected to a topological phase transition. To demonstrate this, we have studied the non-Hermitian PT -symmetric AAH Hamiltonian in the presence of Rashba Spin-Orbit (RSO) coupling. We have obtained an analytical expression of the topological transition point and compared it with the numerically obtained critical points. We have found that, except in some special cases, the critical point and the topological transition point are not the same. In fact, the delocalization-localization transition takes place earlier than the topological transition whenever they do not coincide.

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confidence: 81%

Localization, $\mathcal{PT}$-Symmetry Breaking and Topological Transitions in non-Hermitian Quasicrystals

Acharya,

Chakrabarty,

Sahu

et al. 2021

Preprint

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“…It has been established that threshold lattice parameters at which the localization-delocalization transition occurs can be strongly modified by the SOC-induced band flattening [18][19][20]. Emergent phases induced by a uniform SOC in a quasiperiodic tight-binding system on a square lattice have been addressed too [21,22].…”

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confidence: 99%

Localization of ultracold atoms in incommensurate spin-orbit-coupling and Zeeman lattices

Zezyulin,

Konotop

2022

Preprint

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Localization of ultracold atoms in Zeeman lattices with incommensurate spin-orbit coupling

Zezyulin

2022

Phys. Rev. A

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Self-duality of one-dimensional quasicrystals with spin-orbit interaction

Cited by 7 publications

References 58 publications

Localization, $\mathcal{PT}$-Symmetry Breaking and Topological Transitions in non-Hermitian Quasicrystals

Localization, $\mathcal{PT}$-Symmetry Breaking and Topological Transitions in non-Hermitian Quasicrystals

Localization of ultracold atoms in incommensurate spin-orbit-coupling and Zeeman lattices

Localization of ultracold atoms in Zeeman lattices with incommensurate spin-orbit coupling

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