论文标题
通过Zeeman场中的无序相互作用的Dirac Fermion系统中的磁相变
Magnetic phase transition in disordered interacting Dirac fermion systems via the Zeeman field
论文作者
论文摘要
使用行列式量子蒙特卡洛法，我们研究了Zeeman场在无序相互作用的二维Dirac Fermion系统中诱导的抗磁相变。在固定的相互作用强度$ u $下，随着磁性提交的增加，抗铁磁相关性会增强，当磁场大于$ b_ {c}（u）$时，应通过增加的磁场抑制抗磁磁相关性。 Zeeman Field $ b $，库仑排斥$ u $ u $ u $和$δ$的影响不隔离。磁场效应对抗铁磁相关的强度应被无序抑制。不同的是，它将通过较弱的交互作用来促进，但是当$ u $大于$ u_ {c} = 4.5 $时，增加的相互作用将抑制这种效果的强度，在这里$ u_ {c} = 4.5 $恰逢诱导金属绝缘剂在清洁系统中诱导金属隔热器的关键强度。此外，在固定磁场$ b $的情况下，强相互作用应抑制抗铁磁相，而不是促进它。
Using the determinant quantum Monte Carlo method, we investigate the antiferromagnetic phase transition that is induced by the Zeeman field in a disordered interacting two-dimensional Dirac fermion system. At a fixed interaction strength $U$, the antiferromagnetic correlation is enhanced as the magnetic filed increases, and when the magnetic field is larger than a $B_{c}(U)$, the antiferromagnetic correlation shall be suppressed by the increased magnetic field. The impact of Zeeman field $B$, Coulomb repulsion $U$ and disorder $Δ$ is not isolated. The intensity of magnetic field effect on the antiferromagnetic correlation shall be strongly suppressed by disorder. Differently, it will be promoted by weak interaction, but when $U$ becomes larger than $U_{c}=4.5$, the increased interaction will suppress the intensity of this effect, and here $U_{c}=4.5$ coincides with the critical strength inducing the metal-Mott insulator transition in clean system. Moreover, at a fixed magnetic field $B$, strong interaction shall suppress the antiferromagnetic phase rather than promote it.
