Executive Summary : | Research on twisted bilayer 2D Van-der-Waals (vDW) materials has revolutionized condensed matter physics. These materials are formed when two single layer vDW materials are stacked on each other with a relative twist angle, resulting in a Moiré supercell. This misorientation alters the band structure of the system, leading to novel electronic and quantum phases. Twisted angles can be used as new degrees of freedom to modulate the flattening of bands with localized states near Fermi energy, resulting in unconventional superconductivity, novel magnetism, and other correlated states. Recently, flat bands and correlated phenomena like the Non linear Hall (NLH) effect have been reported in twisted bilayer graphene (TBLG) and twisted bilayer WSe2. The NLH effect is derived from the non vanishing Berry Curvature dipole of the bands in such systems and does not require time reversal symmetry to be broken. Twisted bilayer Transition Metal Dichalcogenides (TMD)s can offer similar NLH effect and is advantageous over twisted TBLG due to its tunability of bandwidth. If successful in establishing the giant Non linear Hall effect, it could be a breakthrough in several aspects of applications, such as probe phase and phase transitions arising from spatial symmetry breaking and propose a relationship between induced strain and Berry Curvature dipole. Additionally, the non linear Hall effect can be used in current rectifiation systems without the use of semiconductor device junctions. From a fundamental perspective, it is necessary to establish a concrete theory behind NLH and the effects of disorder, which is currently absent. |