Magnetization in short-period mesoscopic electron systems
Vidar Gudmundsson, Sigurdur I. Erlingsson, and Andrei Manolescu

TL;DR
This paper investigates the magnetization properties of a mesoscopic two-dimensional electron gas in a short-period superlattice, highlighting the effects of Coulomb interactions, system size, and modulation on magnetic behavior.
Contribution
It provides a comparative analysis of magnetization in finite mesoscopic and infinite systems, incorporating Coulomb interactions within Hartree and Hartree-Fock approximations.
Findings
Strong exchange effects influence magnetization.
System size and modulation affect magnetic response.
Finite and infinite systems show distinct magnetization features.
Abstract
We calculate the magnetization of the two-dimensional electron gas in a short-period lateral superlattice, with the Coulomb interaction included in Hartree and Hartree-Fock approximations. We compare the results for a finite, mesoscopic system modulated by a periodic potential, with the results for the infinite periodic system. In addition to the expected strong exchange effects, the size of the system, the type and the strength of the lateral modulation leave their fingerprints on the magnetization.
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