Surface corrections to the Landau diamagnetic susceptibility

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Abstract
Surface effects on the steady value of the diamagnetic susceptibility of a noninteracting electron gas are investigated. Expressions for the susceptibilty are obtained, in the presence of an arbitrary surface potential, for both the zero- and high-temperature limits. By constructing explicit examples, it is shown that surface corrections to the usual Landau value of the susceptibility vanish at high temperatures, while at zero temperature small correction terms may persist.