Motivated by the ideas from the NJS model and the concept of staged chiral quark condensation developed in mirror matter theory, I ventured into superconductivity and fortunately developed a novel microscopic pairing mechanism for non-BCS superconductivity. It took me the entire summer and more to reacquaint myself with BCS superconductivity and associated condensed matter physics and I have to immerse myself in the extensive literature on superconductivity accumulated over the past decades.
Eventually, I made it, writing up this paper and wanted to post it to arXiv. However, it has become evident that I am on some sort of blacklist of arXiv, preventing me from posting to most categories (including superconductivity in this case) without endorsement, even though it shouldn’t for a researcher affiliated with an academic institution. So I sought endorsement from a long-time friend and esteemed superconductivity theorist. Regrettably, he declined after reviewing my paper. In contrast, an up-and-coming young superconductivity theorist (brand-new AP), who did not know me at all, quickly endorsed me after taking a quick look at my paper. Unfortunately, arXiv promptly placed my submission on hold. I wish that this paper had a better opportunity to be read by a wider audience of condensed matter physicists. Anyway, here is the title and abstract of the paper:
abstract: A novel chiral electron-hole (CEH) pairing mechanism is proposed to account for non-BCS superconductivity. In contrast to BCS Cooper pairs, CEH pairs exhibit a pronounced affinity to antiferromagnetism for superconductivity. The gap equations derived from this new microscopic mechanism are analyzed for both s- and d-wave superconductivity, revealing marked departures from the BCS theory. Unsurprisingly, CEH naturally describes superconductivity in strongly-correlated systems, necessitating an exceedingly large coupling parameter (λ>1 for s-wave and λ>π/2 for d-wave) to be efficacious. The new mechanism provides a better understanding of various non-BCS features, especially in cuprate and iron-based superconductors. In particular, CEH, through quantitative comparison with experimental data, shows promise in solving long-standing puzzles such as the unexpectedly large gap-to-critical-temperature ratio Δ0/Tc, the lack of gap closure at Tc, superconducting phase diagrams, and a non-zero heat-capacity-to-temperature ratio C/T at T=0 (i.e., the “anomalous linear term”), along with its quadratic behavior near T=0 for d-wave cuprates.