The opening chapter establishes the scientific motivation behind this research by illustrating how nanoscale modifications in solid-state systems can trigger complex, interconnected changes in their physical behaviour. This interplay is especially significant in low-dimensional materials, where quantum effects dominate. A central focus is placed on two-dimensional (2D) materials due to their tunable, anisotropic properties and their importance in applications requiring miniaturisation and high performance. Beyond traditional fields like electronics and photonics, these materials also offer promising capabilities in thermomechanics and nanomechanics. The chapter emphasises the need to understand both individual transport properties and their coupling, reflected in phenomena such as thermoelectricity and electromechanics. Two foundational aspects of this research are introduced: the controlled fabrication of 2D materials to preserve their intrinsic properties and their high-resolution, minimally invasive characterisation. Scanning probe microscopy (SPM) is presented as a key tool, offering quantitative, local analysis of nanoscale physical parameters essential for exploring multiphysics interactions in 2D systems. In the end of the chapter, a brief structure of the contents of this book is provided to the reader.