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Recently Azaria et al have studied strips of the Kagome-lattice in theweak-coupling limit, where they consist of two spin-half chains on the outsideweakly coupled to an array of half-integer spins in the middle. Using a numberof mappings they have arrived at the interesting result that in this system allspin excitations are gapped but there are gapless spinless modes. Here we studythese Kagome strips in the limit where the interchain couplings are comparableto the coupling to the middle spins by density matrix renormalization group andby a strong coupling analysis. In the limit when the coupling to themiddle-spin dominates, the 5-spins of the unit-cell reduce to a single S=3/2spin, and the overall system has well known gapless spin excitations. We studythe phase transition from this phase to the weak-coupling phase. We also carryout a strong coupling analysis away from the S=3/2 limit, where the five-spinblocks have four degenerate ground states with S=1/2, which can be thought ofas two spin and two pseudospin degrees of freedom. A numerical study of thisstrong coupling model also suggests a finite spin-gap.Comment: 4 pages, 4 PS figure

Gapless singlet modes in thekagoméstrips: A study through density-matrix-renormalization group and strong-coupling analysis