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- W1546492017 abstract "We investigate an $S=1/2$ two-leg spin ladder with a cyclic four-spin exchange interaction whose interaction constant is denoted by $J_4$, by using the density matrix renormalization group method. The interchain and the intrachain interaction constant are denoted by $J_{rung}$ and $J_{rm leg}$, respectively and assumed to be antiferromagnetic. It turns out that a spin gap between the singlet ($S_{tot}^z=0$) and the triplet ($S_{tot}^z=1$) states vanishes at $J_4/J_{leg} simeq 0.3$ for $J_{rung}=J_{leg}$. This result is in contrast with the fact that the $S=1/2$ antiferromagnetic Heisenberg ladder, that is the case of $J_{rung} neq J_{leg}, J_4=0$, has a spin gap for all nonzero value of interchain interaction $J_{rm rung}>0$. We find a larger value of the correlation length for the spin-pair correlation function than a linear size $L$ of the system at $J_4/J_{rm leg}=0.3$ and $J_{rung}=J_{leg}$: the correlation length $xi$ is about 204 times of the lattice constant for L=84 for these values of interactions. We also find that the string correlation function decays rather algebraically than exponentially at $J_4/J_{leg}=0.3$ and $J_{rung}=J_{leg}$. These results suggest that there is a quantum phase transition at $J_4/J_{leg} simeq 0.3$ for $J_{rung}=J_{leg}$. We estimate a phase boundary where the spin gap vanishes in a $J_4/J_{leg}-J_{rung}/J_{leg}$ plane and obtain a consistent result with that by a perturbation theory for $J_{rm rung}/J_{leg}>1$." @default.
- W1546492017 created "2016-06-24" @default.
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- W1546492017 date "2001-06-21" @default.
- W1546492017 modified "2023-09-25" @default.
- W1546492017 title "Quantum phase transition by cyclic four-spin exchange interaction for S=1/2 two-leg spin ladder" @default.
- W1546492017 doi "https://doi.org/10.48550/arxiv.cond-mat/0106426" @default.
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