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- W1946143622 abstract "We investigate the N-leg spin-S Heisenberg Ladders by using the density matrix renormalization group method. We present estimates of the spin gap $Delta_{s}$ and of the ground state energy per site $e_{infty}^{N}$ in the thermodynamic limit for ladders with widths up to six legs and spin $Sleqfrac{5}{2}$. We also estimate the ground state energy per site $e_{infty}^{2D}$ for the infinite two-dimensional spin-S Heisenberg model. Our results support that for ladders with semi-integer spins the spin excitation is gapless for $N$ odd and gapped for N even. Whereas for integer spin ladders the spin gap is nonzero, independent of the number of legs. Those results agree with the well known conjectures of Haldane and S'en'echal-Sierra for chains and ladders, respectively. We also observe edge states for ladders with $N$ odd, similar to what happens in the integer spin chains." @default.
- W1946143622 created "2016-06-24" @default.
- W1946143622 creator A5055132931 @default.
- W1946143622 creator A5088865936 @default.
- W1946143622 date "2014-03-27" @default.
- W1946143622 modified "2023-10-16" @default.
- W1946143622 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>N</mml:mi></mml:math>-leg spin-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>S</mml:mi></mml:math>Heisenberg ladders: A density-matrix renormalization group study" @default.
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- W1946143622 doi "https://doi.org/10.1103/physrevb.89.094424" @default.
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