Effect of one-dimensional superlattice potentials on the band gap of two-dimensional materials

Ono, Shota

doi:10.1063/1.4984069

Cited by 6 publications

(9 citation statements)

References 30 publications

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“…In the transverse direction E[k y (k T )] when θ = 0, the energy spectrum does not split, since the external potential is constant. The band gap decrease with increasing the external field strenth, which is consistent with previous studies of phosphorene superlattice with electric potentials 25 . The external field modulation is more significant in y direction (i.e., θ = π/2) superlattice than that in x direction ( θ = 0) superlattice.…”

Section: Numerical Results and Discussionsupporting

confidence: 92%

“…The effects of magnetic fields on phosphorene's electronic and optical properties have been studied. [25][26][27][28][29] The magnetic fields break the time-reversal symmetry and develop an in-line anisotropy along the zigzag or armchair direction. However, compared with the magnetic control device, an elec-tronic control device is easier to realize, since one can hardly generate periodic magnetic field in nanoscale integrated devices.…”

Section: Introductionmentioning

confidence: 99%

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Tunable anisotropic behaviors in phosphorene under periodic potentials in arbitrary directions

Yang²,

Luo³

et al. 2019

Nanotechnology

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We investigate theoretically the anisotropic electronic and optical behaviors of a monolayer black phosphorus (phosphorene) modulated by periodic potential superlattices in arbitrary directions. We demonstrate that different strength and orientation of the phosphorene potential superlattice can give rise to distinct energy spectra, i.e., tuning the intrinsic electronic anisotropy. Accordingly, the anisotropic effective mass, and optical absorption modulated by superlattice strength and orientation are addressed systematically. This feature enables tuning capability more than one order of magnitude in the optical absorption spectrum. Our findings should be useful in building phosphorene optical and (opto)electronic devices by applying external potential superlattice. PACS numbers: 68.65.Hb, 71.35.Ji, 78.20.Ls * † xjli@fjnu.edu.cn ‡ wuzhenhua@ime.ac.cn. FIG. 1: Schematic diagram of a phosphorene with periodic metallic stripes of arbitrary twisted angle.

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Section: Numerical Results and Discussionsupporting

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Tunable anisotropic behaviors in phosphorene under periodic potentials in arbitrary directions

Yang²,

Luo³

et al. 2019

Nanotechnology

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“…In contrast to graphene, the tight binding for BP involves two important parameters, describing the in-plane and out-of-plane nearest-neighbor hoppings, and the second parameter is shown to be largely responsible for the band-gap opening. BP possesses a finite band gap with a predicted band gap of 2 eV [8] which varies with the layer number (layer thickness) [7][8][9], stacking order [10], the external strain engineering [9,[11][12][13], doping [14,15], and superlattice potential [16]. With the increase of the layer number of BP, the band gap decreases [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Dependence of the optical conductivity on the uniaxial and biaxial strains in black phosphorene

et al. 2018

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By using the Kubo formula, the optical conductivity of strained black phosphorene was studied. The anisotropic band dispersion gives rise to an orientation dependent optical conductivity. The energy gap can be tuned by the uniaxial and biaxial strains which can be observed from the interband optical conductivity polarized along the armchair (x) direction. The preferential conducting direction is along the x direction. The dependence of the intraband optical conductivity along the zigzag (y) direction on the Fermi energy and strain exhibits increasing or decreasing monotonously. However, along the x direction this dependence is complicated which originates from the carriers' inverse-direction movements obtained by two types of the nearest phosphorus atom interactions. The modification of the biaxial strain on the energy structure and optical-absorption property is more effective. The imaginary part of the total optical conductivity (Imσ ) can be negative around the threshold of the interband optical transition by modifying the chemical potential. Away from this frequency region, Imσ exhibits positive value. It can be used in the application of the surface plasmon propagations in multilayer dielectric structures. PHYSICAL REVIEW B 97, 245408 (2018) † k,s ψ * (r) where c † k,s and c k,s are the creation and annihilation operators for an electron at (k,s) state. In the second quantized notation, the Hamiltonian can be written as H = k,s E k,s c † k,s c k,s + J · A. The components J μ=x,y of the current operator J are

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“…PMS show peculiar behaviors of gap modulation at the Γ point. In conventional phosphorene superlattice with electric potentials, the energy gap is reduced 26 . Our proposal of magnetic phosphorene superlattices, however, are different in that the band gap is increased due to the external magnetic fields.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…25 An analytical model is presented to relate the decrease in the direct band gap to the different orbital characters between the valence conduction band. 26 Beside electric controlling, the effects of magnetic fields on BP's electronic and optical properties have also been studied. [27][28][29][30][31] However periodic magnetic modulations, especially for the experimental measurable quantities, like conductance, optical absorption spectrum, have not been investigated thoroughly until now.…”

Section: Introductionmentioning

confidence: 99%

Tuning the electrical and optical anisotropy of a monolayer black phosphorus magnetic superlattice

Luo

et al. 2018

Nanotechnology

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We investigate theoretically the effects of modulated periodic perpendicular magnetic fields on the electronic states and optical absorption spectrum in monolayer black phosphorus (phosphorene). We demonstrate that different phosphorene magnetic superlattice (PMS) orientations can give rise to distinct energy spectra, i.e. tuning the intrinsic electronic anisotropy. Rashba spin-orbit coupling (RSOC) develops a spin-splitting energy dispersion in this phosphorene magnetic superlattice. Anisotropic momentum-dependent carrier distributions along/perpendicular to the magnetic strips are demonstrated. The manipulations of these exotic electronic properties by tuning superlattice geometry, magnetic field and the RSOC term are addressed systematically. Accordingly, we find bright-to-dark transitions in the ground-state electron-hole pair transition rate spectrum and the PMS orientation-dependent anisotropic optical absorption spectrum. This feature offers us a practical way of modulating the electronic anisotropy in phosphorene by magnetic superlattice configurations and detecting this modulation capability by using an optical technique.

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Effect of one-dimensional superlattice potentials on the band gap of two-dimensional materials

Cited by 6 publications

References 30 publications

Tunable anisotropic behaviors in phosphorene under periodic potentials in arbitrary directions

Tunable anisotropic behaviors in phosphorene under periodic potentials in arbitrary directions

Dependence of the optical conductivity on the uniaxial and biaxial strains in black phosphorene

Tuning the electrical and optical anisotropy of a monolayer black phosphorus magnetic superlattice

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