Abstract
We study the single-band one-dimensional Hubbard model in an arbitrary magnetic field using the cumulant Green's functions method (CGFM) with clusters containing 5, 6, 7, and 8 sites. We calculate the occupation numbers as functions of the chemical potential in a positive magnetic field and identify a partially filled region with negative magnetization. We obtain the ground-state phase diagram in chemical potential vs. magnetic field coordinates. We include a straightforward application of the CGFM by using a cluster as a correlated quantum dot connected to correlated leads to construct a single-electron transistor that presents a spin-polarised conductance.
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