Abstract
Mesoscopic persistent current phenomena have sought significant attention, initially observed in metal micro-ring structures at cryogenic temperatures and subsequently in metal nanoparticles at room temperature. This paper explores the underlying physics of this intriguing phenomenon and explores potential explanations proposed by various research groups. Specifically, we focus on two major theoretical approaches, each shedding light on the unique characteristics of mesoscopic persistent currents. The first approach draws upon Fermi-Dirac statistics to elucidate the behaviour of electrons in mesoscopic systems. This classical framework has provided valuable insights into the quantum mechanical aspects of persistent currents in confined metal structures. In contrast, a very recent and promising theoretical avenue incorporates the concept of spin-orbit coupling, which has emerged as a novel explanation for mesoscopic persistent currents. This approach highlights the role of intrinsic spin properties of electrons and their interactions with the crystal lattice, offering a fresh perspective on this phenomenon. Moreover, this paper underscores the important role played by geometry in shaping mesoscopic persistent currents. By examining the intricate interplay between material properties and structural design, we establish a clear link between the geometry of the system and the manifestation of persistent currents. In summary, this paper presents a comprehensive overview of mesoscopic persistent currents in metal microstructures, offering a comparative analysis of two major theoretical approaches—Fermi-Dirac statistics and spin-orbit coupling. Through this exploration, we enhance our understanding of the fascinating interplay between quantum physics, material science, and geometry in the manifestation of persistent currents in mesoscopic systems.