Mott–Hubbard crossover in two-dimensional clusters threaded by a magnetic field

• Published in: Physica. B, Condensed matter Vol. 281; pp. 821 - 822
• Main Authors: Jermakian, A.K, Kocharian, A.N, Saakian, A.S
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-06-2000
• Subjects: Atomic clusters; Mott–Hubbard crossover; Peierls phase; Peierls phase; Mott–Hubbard crossover; Atomic clusters
• ISSN: 0921-4526; 1873-2135
• DOI: 10.1016/S0921-4526(99)01063-7

The ground-state characteristics of mesoscopic Hubbard clusters in the high-spin region are investigated as a function of cluster dimensions, lattice geometry and electron interaction in response to an applied transverse magnetic field normal to the surface. It is shown that the critical magnetic field of the fully polarized state (in the presence of longitudinal magnetic field), which depends on the transverse field (Peierls phase), the interaction strength, the lattice geometry or the cluster size, can serve as a sensitive measure for the Mott–Hubbard crossover in 1d and 2d finite-size systems. An exact analytical calculation of the critical magnetic field for the infinite chain with next nearest-neighbor hopping is also performed and the condition for metal–insulator transition is derived.