Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1996-10-30
Physics
Condensed Matter
Strongly Correlated Electrons
22 pages, LaTeX, 6 figures available upon request, submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.55.3613
We construct frustrated antiferromagnetic spin ladders with m chains for which the exact ground state can be determined in a particular parameter regime. The excitation spectrum is shown rigorously to be gapless ( with gap ) for odd ( even ) m. In a general parameter regime, the four-chain and periodic ladders are studied using a mean-field theory based on the bond operator formalism for spin $S=1/2$. The excitation spectrum and the spin-gap are calculated in both the cases. The spin-gap of the frustrated ladder system has a larger magnitude than in the case of non-frustrated ladders. For the frustrated periodic ladder, the spin-gap vanishes at a critical value of the interladder coupling strength which is larger than the critical value in the case of non-frustrated periodic ladder.
Bose Indrani
Ghosh Asimkumar
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