Zhou Yiqing, Sheng D N, Kim Eun-Ah
Laboratory of Atomic and Solid State Physics, <a href="https://ror.org/05bnh6r87">Cornell University</a>, Ithaca, New York 14853, USA.
Department of Physics and Astronomy, <a href="https://ror.org/005f5hv41">California State University, Northridge</a>, California 91330, USA.
Phys Rev Lett. 2024 Oct 11;133(15):156501. doi: 10.1103/PhysRevLett.133.156501.
The generalized Wigner crystal (GWC) is a novel quantum phase of matter driven by further-range interaction at fractional fillings of a lattice. The role of further-range interaction as the driver for the incompressible state is akin to the Wigner crystal. On the other hand, the significant role of commensurate filling is akin to the Mott insulator. Recent progress in simulator platforms presents unprecedented opportunities to investigate quantum melting in the strongly interacting regime through synergy between theory and experiments. However, the earlier theory literature presents diverging predictions. We study the quantum freezing of GWC through large-scale density matrix renormalization group simulations of a triangular lattice extended Hubbard model. We find a single first-order phase transition between the Fermi liquid and the sqrt[3]×sqrt[3] GWC state. The GWC state shows long-range antiferromagnetic 120° Néel order. Our results present the simplest answers to the question of the quantum phase transition into the GWC phase and the properties of the GWC phase.
广义维格纳晶体（GWC）是一种新型的物质量子相，由晶格分数填充时的长程相互作用驱动。长程相互作用作为不可压缩态驱动因素的作用类似于维格纳晶体。另一方面，整比填充的重要作用类似于莫特绝缘体。模拟器平台的最新进展为通过理论与实验的协同作用来研究强相互作用 regime 中的量子熔化提供了前所未有的机会。然而，早期的理论文献给出了不同的预测。我们通过对三角晶格扩展哈伯德模型进行大规模密度矩阵重整化群模拟来研究 GWC 的量子冻结。我们发现费米液体和 √3×√3 GWC 态之间存在单一的一级相变。GWC 态表现出长程反铁磁 120°尼尔序。我们的结果为进入 GWC 相的量子相变问题以及 GWC 相的性质提供了最简单的答案。
