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Doping-dependent magnetization plateaux in p-merized Hubbard chains

Cabra, D. C., De Martino, A., Honecker, A. , Pujol, P. & Simonetti, P. (2000). Doping-dependent magnetization plateaux in p-merized Hubbard chains. Physics Letters A, 268(4-6), doi: 10.1016/S0375-9601(00)00210-3


We study zero-temperature Hubbard chains with periodically modulated hopping at arbitrary filling n and magnetization m. We show that the magnetization curves have plateaux at certain values of m which depend on the periodicity p and the filling. At commensurate filling n a charge gap opens and then magnetization plateaux correspond to fully gapped situations. However, plateaux also arise in the magnetization curves at fixed n between the commensurate values and then the plateau-value of of m depends continuously on n and can thus also become irrational. In particular for the case of dimerized hopping (p=2) and fixed doping we find that a plateau appears at m=1-n. In this case, there is still a gapless mode on the plateau leading to thermodynamic behavior which is different from a completely gapped situation.

Publication Type: Article
Additional Information: 9 pages REVTeX, 3 PostScript figures included using psfig.sty; this is the final version to appear in Phys. Lett. A; substantial changes: Lanczos part removed to gain space for further explanations (refer to original version for details on the numerics)
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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