CP1| 1非线性西格玛模型与强电子关联
CP1|1 nonlinear sigma model vs strong electron correlations
摘要：
导出了以陪集超流形$CP^{1|1}=SU(2|1)/U(1|1)$为对象的非线性西格玛模型，试图描述掺杂$t-J$模型在超对称点$J=2t.$处的准经典低能有效作用量。尽管超流形$CP^{1|1}$确实表现为强关联电子的相空间，规范的$CP^{1|1}$非线性西格玛模型（NLSM）不能捕获在任何有限掺杂下由SUSY $t-J$模型显示的强相关性的物理。这是由于这样的事实，即在该机制中，掺杂本身不能自洽地结合到$CP^{1|1}$ NLSM中。\end{abstract}
英文摘要：
The nonlinear sigma model targeted on the coset supermanifold $CP^{1|1}=SU(2|1)/U(1|1)$ is derived in an attempt to describe the quasiclassical low-energy effective action for the doped $t-J$ model at the SUSY point, $J=2t.$ In spite of the fact that the supermanifold $CP^{1|1}$ indeed appears as the phase space of the strongly correlated electrons, the canonical $CP^{1|1}$ nonlinear sigma model (NLSM) is unable to capture the physics of strong correlations displayed by the SUSY $t-J$ model at any finite doping. This is due to the fact that, in this regime, the doping itself cannot be self-consistently incorporated into the $CP^{1|1}$ NLSM. \end{abstract}
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