Dissipative Diamagnetism -- A Case Study for Equilibrium and Nonequilibrium Statistical Mechanics of Mesoscopic Systems

TL;DR

This paper investigates how dissipation influences Landau diamagnetism in mesoscopic systems, unifying equilibrium and nonequilibrium statistical physics through path integral and quantum Langevin approaches, emphasizing boundary effects.

Contribution

It provides a unified theoretical framework connecting equilibrium and nonequilibrium descriptions of diamagnetism, highlighting the importance of boundary conditions and dissipation effects.

Findings

Dissipation significantly affects Landau diamagnetism.

Boundary conditions are crucial in mesoscopic diamagnetism.

Equilibrium and nonequilibrium approaches yield consistent results.

Abstract

Using the path integral approach to equilibrium statistical physics the effect of dissipation on Landau diamagnetism is calculated. The calculation clarifies the essential role of the boundary of the container in which the electrons move. Further, the derived result for diamagnetization also matches with the expression obtained from a time-dependent quantum Langevin equation in the asymptotic limit, provided a certain order is maintained in taking limits. This identification then unifies equilibrium and nonequilibrium statistical physics for a phenomenon like diamagnetism, which is inherently quantum and strongly dependent on boundary effects.