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The paragraph between equations (A9) and (A11) in Appendix A on page 10 of the published version is partially incorrect. In particular, the formal expression of the operator
$ {\cal{S}}_{j} $ is incomplete. This paragraph should then be read as follows:$ \begin{aligned} {\rm i} {\cal{S}}_{j}=\exp\left[ {\rm i}\frac{\pi}{2}\left( a_{j}+a_{j}^+\right) \right] \exp\left[ {\rm i}\frac{\pi}{2}\left( a_{\widetilde{_{j}}}+a_{\widetilde {j}}^+\right) \right] . \end{aligned}$
(A9) That is,
$ \begin{aligned} {\cal{S}}_{j}=\exp\left[ {\rm i} \frac{\pi}{2}\left( a_{j}+a_{j}^+ +a_{\widetilde{_{j}}}+a_{\widetilde{j}}^+-\frac{\pi}{2}S_{j}-1\right) \right] \end{aligned}$
(A10) where we used the Glauber identity.
And therefore
$ \begin{aligned} U=\exp\left[ {\rm i}\frac{\pi}{2}\sum\limits_{j}\left( a_{j}+a_{j}^+ +a_{\widetilde{_{j}}}+a_{\widetilde{j}}^+-\frac{\pi}{2}S_{j}-1\right) \right] . \end{aligned}$
(A11) It should be noted that this has no effect on the remainder of the calculations since we used the form given in Eq. (6) for
$ {\cal{S}}_{j} $ .The authors apologize for any inconvenience caused.
Erratum: Thermal pairing treatment within the path integral formalism [Chin. Phys. C, 48 (11): 114102 (2024)]
- Received Date: 2025-10-22
- Available Online: 2026-03-15
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