Lange Florian, Ejima Satoshi, Fehske Holger
Computational Condensed Matter Physics Laboratory, RIKEN, Wako, Saitama 351-0198, Japan.
Institut für Physik, Ernst-Moritz-Arndt-Universität Greifswald, 17489 Greifswald, Germany.
Phys Rev Lett. 2017 Mar 24;118(12):120401. doi: 10.1103/PhysRevLett.118.120401. Epub 2017 Mar 23.
We demonstrate numerically the existence of a nontrivial topological Haldane phase for the one-dimensional extended (U-V) Hubbard model with a mean density of one particle per site, not only for bosons but also for anyons, despite a broken reflection parity symmetry. The Haldane insulator, surrounded by superfluid, Mott insulator, and density-wave phases in the V-U parameter plane, is protected by combined (modified) spatial-inversion and time-reversal symmetries, which is verified within our matrix-product-state based infinite density-matrix renormalization group scheme by analyzing generalized transfer matrices. With regard to an experimental verification of the anyonic Haldane insulator state the calculated asymmetry of the dynamical density structure factor should be of particular importance.
我们通过数值方法证明，对于一维扩展的（U-V）哈伯德模型，在每个格点平均粒子密度为一个粒子的情况下，不仅对于玻色子，而且对于任意子，都存在非平凡的拓扑霍尔丹相，尽管反射宇称对称性被破坏。在V-U参数平面中，被超流相、莫特绝缘相和密度波相包围的霍尔丹绝缘体，受到组合（修正）的空间反演和时间反演对称性的保护，这在我们基于矩阵乘积态的无限密度矩阵重整化群方案中，通过分析广义转移矩阵得到了验证。关于任意子霍尔丹绝缘体态的实验验证，计算得到的动态密度结构因子的不对称性应该具有特别重要的意义。
