Abstract
We calculate the ground state energy and the magnetization of spinless fermions on a two-dimensional lattice in an external magnetic field. We prove that the absolute minimum of the energy corresponds to a flux value of this field, which is equal to the filling, i.e. the “commensurate flux phase” state is preferable. The magnetization of these fermions is equal to zero.
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Kusmartsev, F.V. (1991). Electronic Diamagnetism in Two-Dimensional Lattices. In: Fantoni, S., Rosati, S. (eds) Condensed Matter Theories. Condensed Matter Theories, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3686-4_25
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DOI: https://doi.org/10.1007/978-1-4615-3686-4_25
Publisher Name: Springer, Boston, MA
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