Zigzag phosphorene nanoribbons: one-dimensional resonant channels in two-dimensional atomic crystals

Abstract

We theoretically investigate phosphorene zigzag nanoribbons as a platform for constriction engineering. In the presence of a constriction at one of the edges, quantum confinement of edge-protected states reveals conductance peaks, if the edge is uncoupled from the other edge. If the constriction is narrow enough to promote coupling between edges, it gives rise to Fano-like resonances as well as antiresonances in the transmission spectrum. These effects are shown to mimic an atomic chain like behavior in a two dimensional atomic crystal.

Edge phonons in black phosphorus

“…These different types of crystallographic edges in graphene and metal dichalcogenides are known to yield different magnetic, electronic and optical properties 2 3 4 5 6 . Few studies, however, have reported on the edges of the lamellar puckered structure of BP 7 8 9 , and its two-dimensional counterpart phosphorene 1 10 11 12 13 14 15 . Previous theoretical simulations on phosphorene nanoribbons have demonstrated relaxation in the three atomic rows that are closest to the edges, and this rearrangement changes the mechanical properties of the material 1 .…”

Enhanced Spin Thermopower in Phosphorene Nanoribbons via Edge-State Modifications

“…As already mentioned in Section 2 , the Seebeck coefficient is determined by the transmission coefficient, and only the electrons within several around the Fermi level contribute to the Seebeck coefficient. In a previous study [ 58 ], the authors found that the conductance plateau contributed from the quasi-flat-edge band can be decreased by notching atoms from the zigzag edges of the ribbon. Here, we plotted the Seebeck coefficients as a function of Fermi energy when notches were considered on the ribbon edges.…”

Quantum transport through the edge states of zigzag phosphorene nanoribbons in presence of a single point defect: analytic Green’s function method

“…This is due to the fact that t 3 and t 5 increase the localization length of the edge states and hence increases the coupling between two edges of zPNR. Another significant point is that for extremely thin zPNR where the band splitting becomes of the order of the uncoupled band widths, one of the bands changes drastically and introduces a new transmission channel [33] which we do not consider in this study.…”

“…where k + 0 and k − 0 are the simple poles of the integrand in Eq. (30) corresponding to E + (k) and E − (k) respectively and E ± (k) is the first differential of E ± with respect to k.…”