Schedule Aug 17, 1999
Magnetization Plateaux in Quasi-One-Dimensional Strongly Correlated Electron Systems
Daniel Cabra, (Univ Nac'l de la Plata)
We summarize our results in the study of magnetization plateaux in different quasi-one-dimensional strongly correlated electron systems, such as N-leg Heisenberg antiferromagnetic ladders, p-merized Heisenberg chains (chains with a periodically modulated exchange). In all cases, the quantization condition for the magnetization M at a plateaux is given by: pSN(1-M) = integer where S is the spin at a site (see also work by M. Oshikawa, M. Yamanaka and I. Affleck; Phys. Rev. Lett. 78, 1984 (1997) and cond-mat/9701141, and by K. Totsuka, Phys. Rev. B57 (1998) 3454). We also present new results in the study of charged systems, such as the p-merized one-dimensional Hubbard model (here the hopping exchange is periodically modulated). In this case we found two different situations, for a given magnetization M and filling n: * If both conditions p/2(n + M) and p/2(n-M) are satisfied, a plateaux appears in the magnetization curve and there is a charge gap. * If only one of these conditions is satisfied and in addition n is kept fixed, then a magnetization plateau opens, but one mode remains gapless.
cond-mat/9908398, cond-mat/9810263, cond-mat/9802035

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