论文标题
三角晶格主要哈伯德模型：宽度4圆环的平均场理论和DMRG
Triangular lattice Majorana-Hubbard model: Mean field theory and DMRG on a width-4 torus
论文作者
论文摘要
Majoraana模式可以作为各种固态系统中的零能量状态出现。例如，支撑这些准粒子的二维相位出现在拓扑超导体的表面上，其零模式位于涡流的核心。在低能的情况下，这种设置可以通过在Abrikosov晶格上相互作用的Majorana模式来建模。在实验中，晶格通常是三角形的。通过实际相关性的激励，我们使用平均场理论和通过密度矩阵恢复量化算法的薄圆环几何形状的薄圆环几何形状的组合探索了该哈伯德样本模型的相图。我们的分析表明，Maporanas之间的有吸引力的相互作用可以在原本间隙的拓扑状态下驱动相变。
Majorana modes can arise as zero energy bound states in a variety of solid state systems. A two-dimensional phase supporting these quasiparticles, for instance, emerges on the surface of a topological superconductor with the zero modes localized at the cores of vortices. At low energies, such a setup can be modeled by Majorana modes that interact with each other on the Abrikosov lattice. In experiments, the lattice is usually triangular. Motivated by the practical relevance, we explore the phase diagram of this Hubbard-like Majorana model using a combination of mean field theory and numerical simulation of thin torus geometries through the density matrix renormalization group algorithm. Our analysis indicates that attractive interactions between Majoranas can drive a phase transition in an otherwise gapped topological state.
