AI 中文总结
研究二分吸引哈伯德模型中的配对与电荷序，通过柴田对偶性定义η-交变磁性，利用\(\mathcal{\tilde{P}}\mathcal{\tilde{T}}\)对称性及跳跃打破简并产生不同结构的η-ALM，经计算发现多种波分裂结构并探讨推广与探测。
AI 中文摘要
我们表明，柴田对偶性将动量依赖的能带分裂的交变磁原理从自旋映射到η-赝自旋，定义η-交变磁性（η-ALM）为配对和电荷序中交变磁性（ALM）的博戈留波夫-德热纳（BdG）对应物。在二分晶格上半填充的纯哈伯德模型中，对偶性将排斥驱动的反铁磁性（AFM）与吸引驱动的η-AFM联系起来，具有均匀单重态配对和交错电荷密度调制。在BdG能带中，柴田对偶宇称-时间反演\(\mathcal{\tilde{P}}\mathcal{\tilde{T}}\)对称性保护η-赝自旋的克莱默简并。各向异性次近邻跳跃打破这种简并并产生η-ALM。奇数宇称η-ALM显示η-赝自旋分裂，而偶数宇称η-ALM具有自旋-η锁定分裂。在棋盘和蜂窝晶格上的哈特里-福克-博戈留波夫计算发现具有p-、d-和f-波分裂结构的η-ALM。还讨论了可能的推广和实验探测。
英文摘要
We show that Shiba duality maps the altermagnetic principle of momentum-dependent band splitting from spin to $η$-pseudospin, defining $η$-altermagnetism ($η$-ALM) as a Bogoliubov-de Gennes (BdG) counterpart of ALM in pairing and charge orders. In half-filled pure Hubbard models on bipartite lattices, the duality relates repulsion-driven antiferromagnetism (AFM) to attraction-driven $η$-AFM with uniform singlet pairing and staggered charge-density modulation. In the BdG bands, the Shiba-dual parity-time-reversal $\mathcal{\tilde{P}}\mathcal{\tilde{T}}$ symmetry protects a Kramers degeneracy of $η$-pseudospin. Anisotropic second-neighbor hopping breaks this degeneracy and generates $η$-ALM. Odd-parity $η$-ALM shows $η$-pseudospin splitting, whereas even-parity $η$-ALM has spin-$η$-locked splitting. Hartree-Fock-Bogoliubov computations on checkerboard and honeycomb lattices find $η$-ALMs with $p$-, $d$-, and $f$-wave splitting structures. Possible generalizations and experimental probes are discussed.
Comments8+3 pages, 2 figures
