论文标题

在扩展的一频哈伯德模型中重新审视超导率:通过自旋和电荷波动配对

Revisiting superconductivity in the extended one-band Hubbard model: pairing via spin and charge fluctuations

论文作者

Roig, Mercè, Rømer, Astrid T., Hirschfeld, P. J., Andersen, Brian M.

论文摘要

在自旋 - 划分配对理论中,二维扩展排斥的一频哈伯德模型的领先超导不稳定性敏感地取决于电子密度,频带和相互作用参数。我们在随机阶段近似(RPA)旋转和充电 - 触发方法中绘制相图,并发现$ b_ {1g} $($ d_ {$ d_ {x^^^2-y^2} $)和$ b_ {2g} $($ d_ {xy} $均在不存在的coulomb combomb interions promblions combless cormomb中{$ d_ {xy}) nn} $,后者在其他对称频道中诱导配对,包括例如$ a_ {2g} $($ g $ -wave),nodal $ a_ {1g} $(extended $ s $ -wave)或nodal $ e_u $($ e_u $($ p $ p $ -wave)spin-triplet spin-triplet suptriplet susterpoctivity。在最低温度下,对称差自旋单点之间的相图中的过渡边界会产生复杂的时间反转对称性折叠叠加。相比之下,我们发现单线和三胞胎区域之间的边界以一阶过渡为特征。最后,在最近的光发射实验的激励下,我们确定了额外有吸引力的最近邻里相互作用的影响,即$ v _ {\ rm nn} <0 $对超导间隙结构的影响。根据电子填充,这种吸引力提升了$ e_u $($ p $ -wave)旋转三个或$ b_ {1g} $($ d_ {x^2-y^2} $)旋转订购。

The leading superconducting instabilities of the two-dimensional extended repulsive one-band Hubbard model within spin-fluctuation pairing theory depend sensitively on electron density, band and interaction parameters. We map out the phase diagrams within a random phase approximation (RPA) spin- and charge-fluctuation approach, and find that while $B_{1g}$ ($d_{x^2-y^2}$) and $B_{2g}$ ($d_{xy}$) pairing dominates in the absence of repulsive longer-range Coulomb interactions $V_{\rm NN}$, the latter induces pairing in other symmetry channels, including e.g $A_{2g}$ ($g$-wave), nodal $A_{1g}$ (extended $s$-wave), or nodal $E_u$ ($p$-wave) spin-triplet superconductivity. At the lowest temperatures, transition boundaries in the phase diagrams between symmetry-distinct spin-singlet orders generate complex time-reversal symmetry broken superpositions. By contrast, we find that boundaries between singlet and triplet regions are characterized by first-order transitions. Finally, motivated by recent photoemission experiments, we have determined the influence of an additional explicitly attractive nearest-neighbor interaction, $V_{\rm NN}<0$, on the superconducting gap structure. Depending on the electronic filling, such an attraction boosts $E_u$ ($p$-wave) spin-triplet or $B_{1g}$ ($d_{x^2-y^2}$) spin-singlet ordering.

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