QMC study of the chiral Heisenberg Gross-Neveu universality class
QMC study of the chiral Heisenberg Gross-Neveu universality class
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手性海森堡 Gross-Neveu 普适性类的 QMC 研究
DOI：
10.1088/1742-6596/2207/1/012030
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Yunoki Seiji
中科院分区：
文献类型：
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作者：
Otsuka Yuichi;Seki Kazuhiro;Sorella Sandro;Yunoki Seiji
利用大规模量子Monte Carlo模拟方法研究了具有d波对场的正方晶格Hubbard模型中反铁磁相变的量子临界性.由于d波配对场在非相互作用的单粒子谱中诱导出狄拉克锥，量子临界性应该对应于Gross-Neveu理论中的手征海森堡普适类，这与蜂窝晶格上的哈伯德模型中预期的相同，尽管晶胞不同（例如，它们分别包含一个和两个位置）。我们表明，这两个相变，预计将发生在广场和蜂窝晶格，确实有相同的量子临界性。我们还认为，模型的细节，即，费米子分量的总数N的计数方式和狄拉克锥的各向异性，不改变临界指数。
We investigate a quantum criticality of an antiferromagnetic phase transition in the Hubbard model on a square lattice with a d-wave pairing field by large-scale auxiliary-field quantum Monte Carlo simulations. Since the d-wave pairing filed induces Dirac cones in the non-interacting single-particle spectrum, the quantum criticality should correspond to the chiral Heisenberg universality class in terms of the Gross-Neveu theory, which is the same as those expected in the Hubbard model on the honeycomb lattice, despite the unit cells being different (eg, they contain one and two sites, respectively). We show that both the two phase transitions, expected to occur on the square and on the honeycomb lattices, indeed have the same quantum criticality. We also argue that details of the models, ie, the way of counting the total number N of fermion components and the anisotropy of the Dirac cones, do not change the critical exponents.