Abstract: Methods and structures includes providing a substrate, forming a prelayer over a substrate, forming a barrier layer over the prelayer, and forming a channel layer over the barrier layer. Forming the prelayer may include growing the prelayer at a graded temperature. Forming the barrier layer is such that the barrier layer may include GaAs or InGaAs. Forming the channel layer is such that the channel layer may include InAs or an Sb-based heterostructure. Thereby structures are formed.

Abstract: A method includes providing a substrate, forming a prelayer over a substrate, forming a barrier layer over the prelayer, and forming a channel layer over the barrier layer. Forming the prelayer may include growing the prelayer at a graded temperature. Forming the barrier layer is such that the barrier layer may include GaAs or InGaAs. Forming the channel layer is such that the channel layer may include InAs or an Sb-based heterostructure.

Abstract: Disclosed is a semiconductor structure comprising a single crystal substrate, a channel layer formed above the substrate from a transition metal dichalcogenides (TMDC) material, and a single crystal epitaxial buffer layer formed between the substrate and the channel layer, wherein the buffer layer is formed from material having a lattice constant mismatch of less than 5% with the lattice constant of the channel layer material. Also, disclosed is a method of forming a semiconductor structure comprising selecting a substrate formed from a single crystal material, preparing the substrate for template growth, growing a template on the substrate wherein the template is formed from single crystal material, and growing channel material on the template wherein the channel material is formed from a TMDC material and wherein the buffer layer material has a lattice constant mismatch of less than 5% with the lattice constant of the channel layer material.