发表机构
Chen-Ning Yang Institute for Advanced Study (YIAS), Tsinghua University（陈省身高等研究院，清华大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过微观模型计算证明配对密度波超导体中的半量子涡旋在能量上可稳定存在，并能束缚马约拉纳零模，为构建马约拉纳晶格提供了微观途径。
AI 中文摘要
配对密度波（PDW）超导体允许存在能够束缚马约拉纳零模的半量子涡旋，但在微观模型中此类缺陷是否在能量上被稳定化仍不清楚。我们在一个具有PDW相的无自旋蜂窝晶格模型中探讨了这一问题。微观Hartree-Fock计算确定了超流刚度$\rho$和PDW相对相位刚度$\kappa$，并表明在连续PDW-狄拉克半金属转变附近$\kappa/\rho$趋近于1，从而极大地降低了涡旋分数化的长波成本。结合微观提取的Ginzburg-Landau耦合，我们表明涡旋核心能量学有利于分数化，产生显著增强的分裂尺度以及场驱动的全涡旋到半涡旋晶格转变。我们确定了由此产生的双味半涡旋晶格结构，并构建了相关的马约拉纳晶格。马约拉纳杂化产生依赖于几何和磁通的能带，具有狄拉克节点和零能费米线。综合这些结果，建立了从PDW超导性到场致半涡旋和马约拉纳晶格的微观途径。
英文摘要
Pair-density-wave (PDW) superconductors admit half-quantum vortices that can bind Majorana zero modes, but whether such defects are energetically stabilized in microscopic models remains unclear. We address this question in a spinless honeycomb-lattice model with a PDW phase. Microscopic Hartree-Fock calculations determine the superfluid stiffness $ρ$ and PDW relative-phase stiffness $κ$, and show that $κ/ρ$ approaches unity near the continuous PDW--Dirac-semimetal transition, strongly reducing the long-wavelength cost of vortex fractionalization. Combining this with microscopically extracted Ginzburg--Landau couplings, we show that vortex-core energetics favor fractionalization, producing a strongly enhanced splitting scale and a field-driven full-vortex--to--half-vortex lattice transition. We determine the resulting two-flavor half-vortex lattice structure and construct the associated Majorana lattice. Majorana hybridization produces geometry- and flux-dependent bands with Dirac nodes and zero-energy Fermi lines. Together, these results establish a microscopic route from PDW superconductivity to field-induced half-vortex and Majorana lattices.
Comments5 pages, 4 figures
