发表机构
BITS Pilani-Hyderabad Campus; Microsoft（比蒂斯皮拉尼海德拉巴校区; 微软）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究构建了具有幂律跳跃和超导的长程SSH-Kitaev模型，发现长程相互作用产生非常规体-边界对应，且子晶格奇偶性决定绕数整数性，揭示了丰富的拓扑超导相。
AI 中文摘要
跳跃和超导电性的幂律分布引入了丰富的临界现象，这些现象在最近邻模型中无法探索。基于此，我们构建了具有单、双和三部分子晶格的Su-Schrieffer-Heeger（SSH）-Kitaev模型，其中超导电性[跳跃]为幂律Kitaev[SSH]类型。长程（LR）超导电性可以单独打开零动量临界线，而LR跳跃则改变有限动量临界线。对于SSH-Kitaev模型的所有版本，在相图中存在一条在超导能隙消失处的开口临界线。有趣的是，LR超导电性（跳跃）促进大规模Dirac（Majorana零）模式，而在有限尺寸系统中，它们在开放边界条件下的出现是由动量空间中反周期哈密顿量的体隙引起的。这表明与短程模型相比，幂律模型具有非常规的体-边界对应关系。重要的是，上述非常规对应关系正确重现了热力学相边界。有趣的是，偶数（奇数）个子晶格产生整数（半整数）绕数，而只要存在仅LR配对，大规模Dirac模式就继续存活，无论子晶格分布如何。
英文摘要
The power-law profile of hopping and superconductivity introduces rich critical phenomena that are not possible to explore in the nearest-neighbor models. Having this in mind, we construct the Su-Schrieffer-Heeger (SSH)-Kitaev model with mono-, bi-, and tri-partite sub-lattices where superconductivity [hopping] is of power-law Kitaev [SSH] type. The long-range (LR) superconductivity can alone gap out the zero-momentum critical line while LR hopping alters the finite-momentum critical line. There exists open-ended critical line at vanishing superconducting gap on the phase diagram for all versions of the SSH-Kitaev model. Interestingly, LR superconductivity (hopping) promotes massive Dirac (Majorana zero) modes, while in a finite-size system, their emergence in open boundary conditions is caused by the bulk gap of the anti-periodic Hamiltonian in momentum space. This indicates an unconventional bulk-boundary correspondence for power-law models as compared to what is seen in the short-range models. Importantly, the thermodynamic phase boundaries are correctly reproduced by the above unconventional correspondence. Intriguingly, an even (odd) number of sub-lattices yields an integer (half-integer) winding number while the massive Dirac modes continue to survive irrespective of the sub-lattice profile as long as there exists LR pairing only.
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