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- W3105049402 abstract "Using mainly numerical methods, we investigate the width of the spin gap of a spin-1/2 two-leg ladder described by $cH= J_rl sum_{j=1}^{N/2} [ vS_{j,a} cdot vS_{j+1,a} + vS_{j,b} cdot vS_{j+1,b} ] + J_rr sum_{j=1}^{N/2} [lambda (S^x_{j,a} S^x_{j,b} + S^y_{j,a} S^y_{j,b}) + S^z_{j,a} S^z_{j,b}] $, where $S^alpha_{j,a(b)}$ denotes the $alpha$-component of the spin-1/2 operator at the $j$-th site of the $a (b)$ chain. We mainly focus on the $J_rr gg J_rl > 0$ and $|lambda| ll 1$ case. The width of the spin gap as a function of $lambda$ anomalously increases near $lambda = 0$; for instance, for $-0.1 < lambda < 0.1$ when $J_{rm l}/J_{rm r} = 0.1$. The gap formation mechanism is thought to be different for the $lambda < 0$ and $lambda > 0$ cases. Since, in usual cases, the width of the gap becomes zero or small at the point where the gap formation mechanism changes, the above gap-increasing phenomenon in the present case is anomalous. We explain the origin of this anomalous phenomenon by use of the degenerate perturbation theory. We also draw the ground-state phase diagram." @default.
- W3105049402 created "2020-11-23" @default.
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- W3105049402 date "2013-02-19" @default.
- W3105049402 modified "2023-10-18" @default.
- W3105049402 title "Anomalous behavior of the spin gap of a spin-1/2 two-leg antiferromagnetic ladder with Ising-like rung interactions" @default.
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- W3105049402 doi "https://doi.org/10.1002/pssb.201200757" @default.
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