Academic literature on the topic 'Hybrid dimensional systems'

We discuss three formalisms for the description of Fermions in low-dimensional systems. Then we consider dimensionally hybrid Hamiltonians with mixed three-dimensional and two-dimensional kinetic terms. These Hamiltonians yield particular dimensionally hybrid Green’s functions with interesting prospects for the description of the transition between two-dimensional and three-dimensional behavior of particles in the presence of attractive interface potentials.PACS Nos.: 05.30.Fk, 71.10.Pm, 73.20.–r

The emergence of unexpected properties in two-dimensional materials, interfaces, and nanostructured materials opens an exciting framework for exploring new devices and applications. Recent advances in materials design and the nano structurization of novel, low-dimensional materials, surfaces, and interfaces offer a novel playground to design efficient multifunctional materials-based devices. Low-dimensional materials exhibit peculiarities in their electronic, magnetic, and optical properties, changing with respect to the bulk when they are layered down to a single layer, in addition to their high tunability. Their crystal structure and chemical bonds lead to inherent unique mechanical properties. The fabrication of van der Waals heterostructures by stacking materials with different properties, the better control of interfaces, and the tunability of the physical properties by mechanical strain, and chemical and electronic doping allow for the exploration of multifunctional devices with superconducting, magnetic, and optical properties and unprecedented degrees of freedom in terms of fabrication and tunability.