Interaction-driven Chern insulating phases in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:mrow><mml:mi>α</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">−</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math> lattice with Rashba spin-orbit coupling

Lin, Shi-Qing; Tan, Hui; Fu, Pei-Hao; Liu, Jun-Feng

doi:10.1016/j.isci.2023.107546

Cited by 4 publications

(1 citation statement)

References 62 publications

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“…The hopping energy between the A and B sites is t, while the hopping energy between the sites A and C is t ′ = αt. Including the intrinsic SOC [47,93] and the Rashba SOC [110] terms the Hamiltonian of the pseudospin-1 α-T 3 fermionics is given by,…”

Section: Pseudospin-1 Qr With Isoc In Addition With Rsocmentioning

confidence: 99%

Spin and charge persistent currents in a Kane Mele α-T ₃ quantum ring

Islam,

Basu

2023

J. Phys.: Condens. Matter

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We conduct a thorough study of different persistent currents in a spin-orbit coupled α-T 3 (pseudospin-1) fermionic quantum ring (QR) that smoothly interpolates between graphene (α = 0, pseudospin-1/2) and a dice lattice (α = 1, pseudospin-1) in presence of an external perpendicular magnetic field. In particular, we have considered effects of intrinsic (ISOC) and Rashba spin-orbit couplings (RSOC) that are both inherent to two dimensional quantum structures and yield interesting consequences. The energy levels of the system comprise of the conduction bands, valence bands, and flat bands which show non-monotonic dependencies on the radius, R of the QR, in the sense that, for small R, the energy levels vary as 1 / R , while the variation is linear for large R. The dispersion spectra corresponding to zero magnetic field are benchmarked with those for finite fields to enumerate the role played by the spin–orbit coupling terms therein. Further, it is noted that the flat bands demonstrate dispersive behavior, and hence is able to contribute to the transport properties only for finite ISOC. Moreover, RSOC yields spin-split bands, thereby contributing to the spin-resolved currents. The charge and the spin-polarized persistent currents are hence computed in presence of these spin-orbit couplings. The persistent currents in both the charge and spin sectors oscillate as a function of the magnetic field with a period equal to the flux quantum, as they should be; although they now depend upon the spin–orbit coupling parameters. Interestingly, the ISOC distorts the current profiles, owing to the distribution of the flat band caused by it, whereas RSOC alone preserves the flat band and hence a perfect periodicity of the current characteristic is maintained. Further, we have explored the role played by the parameter α in our entire analysis to enable studies while interpolating from graphene to a dice lattice.

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Section: Pseudospin-1 Qr With Isoc In Addition With Rsocmentioning

confidence: 99%

Spin and charge persistent currents in a Kane Mele α-T ₃ quantum ring

Islam,

Basu

2023

J. Phys.: Condens. Matter

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Screw dislocation in a Rashba spin-orbit coupled $$\alpha$$-$$T_3$$ Aharonov–Bohm quantum ring

Islam,

Basu

2024

Sci Rep

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In this paper we investigate the effect of a topological defect, such as a screw dislocation in an $$\alpha$$ α -$$T_3$$ T 3 Aharonov–Bohm quantum ring and scrutinized the effects of an external transverse magnetic field and Rashba spin-orbit coupling therein. The screw dislocation yields an effective flux which reshape the periodic oscillations in the persistent current in both charge and spin sectors, with a period equal to one flux quantum. Moreover, they suffer a phase shift proportional to the degree of dislocation, and include scattering effects due to the dislocation present in the system. Such tunable oscillation of the spin persistent current highlights applications of our system as potential spintronic devices. Further, the behaviour of the current induced by the Burgers vector ($$b^z$$ b z ) which denotes the strength of the dislocation is investigated in the absence and presence of an external magnetic field. In both the scenarios, an almost linear decrease in the current profile as a function of the Burgers vector is observed. Notably, without the external magnetic field, the Burgers current suffers a back flow for $$\alpha =1$$ α = 1 (dice lattice), while in the presence of the external magnetic field, for other values of $$\alpha$$ α (e.g., $$\alpha =0.5$$ α = 0.5 ) this back flow occurs for a specific value of $$b^z$$ b z . Additionally, the presence of the distortion induces a chirality effect, giving rise to an additional chiral current even in the absence of an external field. Furthermore, in the absence of field, the Burgers spin current initially rises, attains a maximum before diminishing as $$b^z$$ b z is enhance for all values of $$\alpha$$ α . However, such a non-monotonicity in the Burgers spin current is conspicuously non-existent in the presence of an external field. The chiral current discussed above may hold important applications to spintronics.

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Interplay between Haldane and modified Haldane models in α−T3 lattice: Band structures, phase diagrams, and edge states

Lee,

Fu,

Ang

2024

Phys. Rev. B

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Interaction-driven Chern insulating phases in the α−T3 lattice with Rashba spin-orbit coupling

Cited by 4 publications

References 62 publications

Spin and charge persistent currents in a Kane Mele α-T ₃ quantum ring

Spin and charge persistent currents in a Kane Mele α-T ₃ quantum ring

Screw dislocation in a Rashba spin-orbit coupled $$\alpha$$-$$T_3$$ Aharonov–Bohm quantum ring

Interplay between Haldane and modified Haldane models in α−T3 lattice: Band structures, phase diagrams, and edge states

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Interaction-driven Chern insulating phases in the α−T3 lattice with Rashba spin-orbit coupling

Cited by 4 publications

References 62 publications

Spin and charge persistent currents in a Kane Mele α-T 3 quantum ring

Spin and charge persistent currents in a Kane Mele α-T 3 quantum ring

Screw dislocation in a Rashba spin-orbit coupled $$\alpha$$-$$T_3$$ Aharonov–Bohm quantum ring

Interplay between Haldane and modified Haldane models in α−T3 lattice: Band structures, phase diagrams, and edge states

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Product

Resources

About

Spin and charge persistent currents in a Kane Mele α-T ₃ quantum ring

Spin and charge persistent currents in a Kane Mele α-T ₃ quantum ring