Motivated by the recent experimental realization of minimal Kitaev chains using quantum dots, we investigate the Majorana zero modes (MZM) in Y-shape Kitaev wires. We solve the associated Kitaev models analytically at the sweet spot (t_h = Δ) and derive the exact form of MZM wave-functions in this geometry. We observed exotic multi-site MZMs located near the junction center, on the nearby edge sites of each leg. This result is important for potential braiding of Majoranas and the performance of Y-junctions made from arrays of quantum dots. Furthermore, we study the stability of local (single-site) and multi-site MZMs modes in the presence of Coulomb repulsion, using density matrix renormalization group theory. Our local density-of-states calculation shows that these multi-site MZMs are as equally topologically protected as the single-site MZMs when in the presence of Coulomb repulsion or when away from the sweet-spot.

受最近使用量子点实验实现最小基塔耶夫链的启发，我们研究了Y形基塔耶夫线中的马约拉纳零模式 (MZM)。我们在最佳点 ( t _h = Δ)处分析求解相关的 Kitaev 模型 ，并推导出该几何中 MZM 波函数的精确形式。我们观察到奇异的多站点 MZM 位于交汇中心附近、每条腿的附近边缘站点上。这一结果对于马约拉纳的潜在编织和Y的性能很重要-由量子点阵列制成的结。此外，我们使用密度矩阵重正化群理论研究了库仑斥力存在下局部（单点）和多点 MZM 模式的稳定性。我们的局域态密度计算表明，当存在库仑斥力或远离最佳点时，这些多位点 MZM 与单位点 MZM 受到同样的拓扑保护。