论文标题

二维相关dirac费米的磁催化的量子关键性

Quantum criticality of magnetic catalysis in two-dimensional correlated Dirac fermions

论文作者

Tada, Yasuhiro

论文摘要

我们研究磁场诱导的电荷密度波(CDW)在零温度下的$π$ -Flux Square晶格上相关的无旋Dirac Fermions的量子临界性,作为磁性催化的典型示例,使用无限密度矩阵重新分解组。发现CDW订单参数$ m(b)$表现出一个异常的磁场$(b)$缩放行为特征的$(2+1)$ - 维数的伊斯丁普遍性类别附近的量子关键点附近,这会导致$ m(b)$的强大增强。我们还在相互作用磁场平面中建立了一个全局相图,以实现费米子量子临界。

We study quantum criticality of the magnetic field induced charge density wave (CDW) order in correlated spinless Dirac fermions on the $π$-flux square lattice at zero temperature as a prototypical example of the magnetic catalysis, by using the infinite density matrix renormalization group. It is found that the CDW order parameter $M(B)$ exhibits an anomalous magnetic field $(B)$ scaling behavior characteristic of the $(2+1)$-dimensional chiral Ising universality class near the quantum critical point, which leads to a strong enhancement of $M(B)$ compared with a mean field result. We also establish a global phase diagram in the interaction-magnetic field plane for the fermionic quantum criticality.

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