The bandgap dependence on the number of atomic layers of some families of 2Dmaterials, can be exploited to engineer and use lateral heterostructures (LHs) as highperformance Field-Effect Transistors (FET). This option can provide very good lattice matching as well as high heterointerface quality. More importantly, this bandgap modulation with layer stacking can give rise to steep transitions in the density of states (DOS) of the 2D material, that can eventually be used to achieve sub-60 mV/decade subthreshold swing in LH-FETs thanks to an energy-filtering source. We have observed this effect in the case of a PdS 2 LH-FET due to the particular density of states of its bilayer configuration. Our results are based on ab initio and multiscale materials and device modeling, and incite the exploration of the 2D-material design space in order to find more abrupt DOS transitions and better suitable candidates. 1 arXiv:2001.03139v1 [cond-mat.mes-hall] 9 Jan 2020 Semiconductor heterostructures of the III-V and II-VI materials systems have played a fundamental role in the progress of electronics and optoelectronics. Firstly proposed by Kroemer in the 1950s, 1 they have been involved in the invention of quantum-well lasers 2 and high-electron-mobility transistors. 3 The large number of available two-dimensional (2D) materials and the possibility to combine them even in the presence of significant lattice mismatch has led to a new wave of interest in materials engineering based on heterostructures of 2D materials. In particular, 2D materials enable the realization of vertical heterostructures, also called "van der Waals" heterostructures, consisting in the vertical stacking of layers of different 2D materials loosely coupled by van der Waals interactions, 4,5 and of lateral heterostructures (LHs), in which a single 2D layer consists of juxtaposed regions of different lattice-matched 2D materials. 6-9LHs have been shown to be particularly well suited as channel materials in high performance Field-Effect Transistors (FETs) for digital electronics. 10 However, the quality of the heterojunction is one of the major obstacles towards the experimental demonstration of high performance LH-FETs. The possibility of fabricating LHs by modulating the stacking order of a single 2D material provides the opportunity of perfect lattice matching and growth compatibility, and therefore a chance to obtain high materials quality. 11Recently, a particular group of transition metal dichalcogenides (TMDs) involving noble transition metals (Pt, Pd, and Ni), combined with S, Se, and Te, have been predicted 12 and demonstrated to have strong gap dependence on the number of stacked layers. 13 The so-called "noble TMDs" are, thus, promising contenders to build 2D LHs by modulation of the number of layers of adjacent regions of the same material. Indeed, these structures based on noble TMDs -that strictly speaking could be considered homostructures instead of heterostructures-would be easier to realize than those made of different 2D materials.Ab initio ...