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• W1969989736 abstract "We present a manifestly rotational invariant formulation of the matrix product method valid for spin chains and ladders. We apply it to two-legged spin ladders with spins , 1 and and different magnetic structures labelled by the exchange coupling constants, which can be ferromagnetic or antiferromagnetic along the legs and the rungs of the ladder. We compute ground-state energy densities, correlation lengths and string order parameters. We present numerical evidence of the duality properties of the three different nonferromagnetic spin ladders. We show that the long-range topological order characteristic of isolated spin 1 chains is broken by the interchain coupling. The string order correlation function decays exponentially with a finite correlation length that we compute. A physical picture of the spin 1 ladder is given in terms of a collection of resonating spin 1 chains. Finally, for ladders with spin equal to or greater than we define a class of AKLT states whose matrix product coefficients are given by 9-j symbols." @default.
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• W1969989736 date "1998-12-04" @default.
• W1969989736 modified "2023-10-12" @default.
• W1969989736 title "The matrix product approach to quantum spin ladders" @default.
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• W1969989736 doi "https://doi.org/10.1088/0305-4470/31/48/009" @default.
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