Even–odd effect on the edge states for zigzag phosphorene nanoribbons under a perpendicular electric field

Zhou, Benliang; Zhou, Binbin; Zhou, Xingfei; Zhou, Guanghui

doi:10.1088/1361-6463/aa52b5

Cited by 27 publications

(34 citation statements)

References 29 publications

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“…The zigzag PNRs (ZPNRs) with significant edge states and armchair PNRs (APNRs) with direct band-gap have been extensively studied [13,16,17,29]. And some properties of PNRs have been verified [18,[30][31][32][33][34][35][36], such as the effect of edge states on conductance and thermalpower [37], the influence of vacancy defects on electron structure and transport [38,39], and the electric tunable edge-pseudospin valve [40].…”

Section: Introductionmentioning

confidence: 99%

Crystallographic Characterization of Black Phosphorene and its Application in Nanostructures

et al. 2019

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The central question in the field of two-dimensional (2D) materials is how a material behaves when it is patterned at nanometer scale with different edge geometries. Due to the anisotropy inherent in the puckered structure, black phosphorene nanostructures may have more varieties of edge geometries. Here, we present a comprehensive 2D planar crystallographic characterization of phosphorene uniformly by a chiral vector (angle), from which a new type of edge atomic configuration, the slope edge geometry is discovered. The phosphorene nanoribbons (PNRs) with slope edges, like previously noticed zigzag and skewed-armchair PNRs, also own interesting twofold-degenerate edge states. These three marginal directions, together with the skewed-zigzag and armchair directions without edge states, divide a phosphorene into four regions among which the electronic property is different from each other. Further, for a PNR cutting along any possible direction, by taking into account the z-direction in structure, whether or not it owns edge states depends on the existence of periodic zigzag-like morphology along the edges. For application, moreover, we propose a PNR-based z-shaped homogenous junction with scale ∼100 nm, where the central scattering region between two PNR electrodes is a phosphorene quantum dot (PQD) of PNR segment with various edge morphologies. Interestingly, the calculated conductance by Kwant code based on tight-binding combing with scattering-matrix for the junction relies sensitively on the central PQD edge states. In specification, for the junctions of PQD with edge states the conductance exhibit a terrace with resonant oscillations near Fermi energy, otherwise the electron transport is blocked due to the absence of edge states. Remarkably, the number of oscillating peaks exactly matches to the number of sawtooth along an edge of PQD, since the discrete energy levels of the zigzag-like edge provide the transporting channels for electrons. The results here may be extended to the group-VA 2D materials for observing the electronic property of nanostructures in experiments, and provide a reference for the preparation of better nano-devices. *

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Section: Introductionmentioning

confidence: 99%

Crystallographic Characterization of Black Phosphorene and its Application in Nanostructures

et al. 2019

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“…It is known that phosphorene nano-ribbons can host quasi-flat edge states whose emergence is topologically similar to graphene [26]. A study of their even/odd properties under application of an electric field has recently been performed [27], revealing a gap opening in these edge states. Edge states can introduce notable finite-size effects [21].…”

Section: Model and Numerical Methodsmentioning

confidence: 99%

Dilute antiferromagnetism in magnetically doped phosphorene

Allerdt¹,

Feiguin²

2017

Pap. Phys.

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We study the competition between Kondo physics and indirect exchange on monolayer black phosphorous using a realistic description of the band structure in combination with the density matrix renormalization group (DMRG) method. The Hamiltonian is reduced to a one-dimensional problem via an exact canonical transformation that makes it amenable to DMRG calculations, yielding exact results that fully incorporate the many-body physics. We find that a perturbative description of the problem is not appropriate and cannot account for the slow decay of the correlations and the complete lack of ferromagnetism. In addition, at some particular distances, the impurities decouple forming their own independent Kondo states. This can be predicted from the nodes of the Lindhard function. Our results indicate a possible route toward realizing dilute anti-ferromagnetism in phosphorene.

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“…As we know, the electronic properties of zigzag phosphorene nanoribbon (ZPR) are dominated by the edge bands at low energy region. Because the electrons in the edge bands are localized to the edges, it can be easily controlled by an external field, especially by the electric field 21 . Furthermore, the edge bands are entirely detached from the bulk bands, which helps them to eliminate the trouble caused by the bulk bands.…”

Section: Introductionmentioning

confidence: 99%

Crossed Andreev Reflection in Zigzag Phosphorene Nanoribbon Based Ferromagnet/Superconductor/Ferromagnet Junctions

Chen

Liu

et al. 2022

Preprint

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We study the crossed Andreev reflection in zigzag phosphorene nanoribbon based ferromagnet/superconductor/ferromagnet junction. Only edge states, which are entirely detached from the bulk gap, involved in the transport process. The perfect crossed Andreev reflection, with the maximal nonlocal conductance −2e 2 /h, is addressed by setting the chemical potentials of the leads properly. At this situation, the local Andreev reflection and the electron tunneling are completely eliminated, the incoming electrons can only be reflected as electrons or transmitted as holes, corresponding to the electron reflection and the crossed Andreev reflection respectively. The nonlocal conductance oscillates periodically with the length and the chemical potential of the superconductor. Our study shows that the phosphorene based junction can be used as the quantum device to generate entangled-electrons.

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Even–odd effect on the edge states for zigzag phosphorene nanoribbons under a perpendicular electric field

Cited by 27 publications

References 29 publications

Crystallographic Characterization of Black Phosphorene and its Application in Nanostructures

Crystallographic Characterization of Black Phosphorene and its Application in Nanostructures

Dilute antiferromagnetism in magnetically doped phosphorene

Crossed Andreev Reflection in Zigzag Phosphorene Nanoribbon Based Ferromagnet/Superconductor/Ferromagnet Junctions

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