Signatures of quantum transport through two-dimensional structures with correlated and anticorrelated interfaces

Abstract

Electronic transport through a two-dimensional decananometer length channel with correlated and anticorrelated surfaces morphologies is studied using the Keldysh nonequilibrium Green's-function technique. Due to the pseudoperiodicity of these structures, the energy-resolved transmission possesses pseudoband and pseudogap. Channels with correlated surfaces are found to exhibit wider pseudobands than their anticorrelated counterparts. By surveying channels with various combinations of material parameters, we found that a smaller transport mass increases the channel transmittivity and energy bandwidth of the pseudobands. A larger quantization mass yields a larger transmittivity in channels with anticorrelated surfaces. For channels with correlated surfaces, the dependence of transmittivity on quantization mass is complicated by odd-to-even mode transitions. An enhanced threshold energy in the energy-resolved transmission can also be observed in the presence of surface roughness. The computed enhanced threshold energy was able to achieve agreement with the experimental data for Si͗110͘ and Si͗100͘ devices.

Quantum transport and fractional hall effect in Moiré correlated/anticorrelated interface channels

“…2i is 2 M ≈ 56 meV, which is good agreement with the BM model within the energy range of [−70, 70] meV. 58 Meanwhile, there is a topological gap ( E tg ), which is increased for tA = 13° in Fig. 2h related to the magic angles as shown in Fig.…”

“…58. To model the rippled energy landscape ( E QW ) of transmission and resonant tunneling, a series of quantum wells ( ε QW ) were considered as follows: 58 where m z is quantized mass and T B is the thickness of the channel. Taylor expansion of the quantum well series gives: 58 where U ( x ) is a unit pulse at − λ /2 < x < λ /2.…”

“…Taylor expansion of the quantum well series gives: 58 where U ( x ) is a unit pulse at − λ /2 < x < λ /2. The second term of the above equation represents a harmonic oscillator potential, which leads to quantized energy levels as , and , 58 where m x is the transport mass. We concluded that , i.e.…”

Electronic transport in graphene nanoribbons with correlated line-edge roughness

“…LER inherent to top-down methods of producing GNRs are investigated extensively in the literature [8,[14][15][16][17][18][19][20][21], but in all studies, roughnesses of the two edges have been independently treated and the cross-correlation between them has been neglected. The importance of cross-correlation between the roughnesses of surfaces in Si Fin, nanowires, and quantum wells has been addressed in previous studies [22][23][24]. The role of cross-correlation between GNR edges cannot be ignored in many cases, especially in GNRs that are produced by unzipping carbon nanotubes where both LER at both edges are fully correlated.…”

Tailoring of Seebeck coefficient with surface roughness effects in silicon sub-50-nm films

“…The surface roughness has been modelled by varying the thickness of the film periodically with a square wave profile as shown in Figure 1 . The roughness is characterized by two parameters: amplitude ( A 0 ) and wavelength ( λ ) of the square wave [ 10 ]. These parameters are analogous to the root mean square roughness and the roughness autocorrelation length which are commonly used to determine the surface roughness morphology [ 11 ].…”