论文标题
带有斑块相互作用的狄拉克费米斯。 iii。 SU（n）具有毛刺临界和一阶相变的相图
Dirac fermions with plaquette interactions. III. SU(N) phase diagram with Gross-Neveu criticality and first-order phase transition
论文作者
论文摘要
受到SU（2）和SU（4）在方格晶格上进行plaquette相互作用的SU（2）和SU（4）的启发，在这里，我们将大规模的量子蒙特卡洛（Monte Carlo）调查扩展到与SU（6）和SU（6）和SU（8）符号相关的dirac fermions相关的digram相同的digram调查。从SU（2）到SU（8），丰富的相图都表现出许多新兴的量子相，例如Dirac半含量，抗铁磁莫特绝缘子，价键（VBS）和DIRAC旋转液体和相位过渡，包括与出现的差异量相关的质量差异 - dirac旋转液体和相位过渡 - 柱状VBS和Plaquette VBS。这些丰富的现象来自外观简单的晶格模型，坚定地传达了这样的信息，即$ su（n）$ dirac fermions之间的相互作用（随着内部对称性增强，以及扩展的plaquette交互作用 - 超越现场哈伯德类型 - 是与实验性相结合的新型操场，可以使新型的小型玩法与实验性相结合。
Inspired by our recent works[1, 2] of SU(2) and SU(4) Dirac fermions subjected to plaquette interactions on square lattice, here we extend the large-scale quantum Monte Carlo investigations to the phase digram of correlated Dirac fermions with SU(6) and SU(8) symmetries subjected to the plaquette interaction on the same lattice. From SU(2) to SU(8), the rich phase diagram exhibits a plethora of emerging quantum phases such as the Dirac semimetal, the antiferromagnetic Mott insulator, valence bond solid (VBS) and the Dirac spin liquid and phase transitions including the Gross-Neveu chiral transitions with emergent continuous symmetry, the deconfined quantum criticality and the first order transition between interaction-driven columnar VBS and plaquette VBS. These rich phenomena coming from the simple-looking lattice models, firmly convey the message that the interplay between the $SU(N)$ Dirac fermions -- with enhanced internal symmetries -- and extended plaquette interactions -- beyond the on-site Hubbard type -- is the new playground to synthesise novel highly entangled quantum matter both at the model level and with experimental feasibilities.
