This chapter addresses the quantum mechanical nature of the formation, stability, and properties of ultrathin metal films, metallic alloys, and related lowdimensional structures, with Pb as a primary elemental example. The emphasis is on the contribution to the overall energetics from the electronic degrees of freedom of the low-dimensional systems. As a metal film reduces its thickness, the competition between quantum confinement, charge spilling, and Friedel oscillations, all of electronic origin, can dictate whether an atomically smooth film is marginally, critically, or magically stable or unstable against roughening during the growth of such metal films. The "electronic growth" mode as emphasized here serves as an intriguing addition to the three well-established classic modes of crystal growth. In exploring electronic growth, Pb(111) films represent a particularly compelling example, not only because their stability exhibits unusually strong quantum oscillations but also because their physical and chemical properties can be tuned with great precision by controlling the film thickness or the chemical composition. Recent advances and the perpectives in this active area of film growth will be reviewed, with results from both theoretical and experimental studies.
Historical ReviewLow-dimensional materials have been an important platform for the discovery of novel quantum phenomena, such as the quantized conductance and quantum Hall effects in semiconductor heterostructures [1] and giant magneto-resistance in metallic magnetic superlattices [2]. In these examples, fabrication of the low-dimensional medium was accomplished via classical thin film growth; yet the emerging properties are clearly quantum mechanical in nature. More recently, it has been shown that the size quantization of itinerant electrons in an ultrathin metal film also plays a decisive role in the early formation stages and kinetic stability of the films [3][4][5][6][7][8][9].