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- W4313305654 abstract "We solve the long-standing difficult problem of the local constraint conditions, the single occupation of a slave particle per site, in the slave particle theory. In previous literature, a Lagrange multiplier field $lambda_i(t)$ was taken into account to ensure the constraints. This introduces time-dependent redundant gauge degrees of freedom because original Lagrange multiplier $lambda_i$ is static and never becomes time-dependent. Therefore, an additional (gauge fixing) constraint $partial_t lambda_i(t)=0$ which was missed before has to be enforced. This constraint endows $lambda_i(t)$ with a dynamics. With this, the slave particle theory dualizes strongly correlated problems to well-controlled weak coupling problems. The mean field (MF) approximations are controllable and can be examined if the MF phases are stable against the $lambda_i$ fluctuation, e.g., the superconducting (SC) state of Hubbard model at half-filling is not stable. While the MF SC state of the $t$-$J$ model is stable, the pairing gap may be substantially suppressed by the fluctuation. This may explain the SC $T_c$ of the cuprates is much lower than the MF estimation of $t$-$J$ model." @default.
- W4313305654 created "2023-01-06" @default.
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- W4313305654 date "2022-12-28" @default.
- W4313305654 modified "2023-09-23" @default.
- W4313305654 title "Solving local constraint conditions in slave particle theory" @default.
- W4313305654 doi "https://doi.org/10.48550/arxiv.2212.13734" @default.
- W4313305654 hasPublicationYear "2022" @default.
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