论文标题
紧张的石墨烯中的运输:阿贝尔和轴向磁场的相互作用
Transport in strained graphene: Interplay of Abelian and axial magnetic fields
论文作者
论文摘要
屈服石墨烯沉浸在外部磁场($ b $)中,构成了理想的桌面设置,表现出时间反转对称性($ {\ Mathcal t} $)破坏Abelian($ b $)和$ {\ Mathcal T} $ - 保存应变的内轴诱导的内轴($ b $ b $)。在这样的系统中,我们在这里数字计算两端电导($ g $),以及四个末端的霍尔电导率($σ_{xy} $),用于无旋转费米子。在平坦的石墨烯($ b = 0 $)上,$ b $ field在$ g = \ pm |σ_{xy} | =(2n+1)e^2/h $,其中$ n = 0,1,2,\ cdots $。菌株诱导的$ b $田地提升了更高的兰道水平的两倍谷退化,并导致在$ g = \ pm |σ_{xy} | =(2,4,\ cdots)E^2/h $时,形成了其他均匀的高原。虽然当$ b> b $ $ g $时观察到同样的高原序列,但在此制度中,在Hall Bar几何形状中的$σ_{Xy} $的数值计算变得不稳定。 $ g =σ_{xy} = 0 $的高原总是随着电荷密度订单的开始而出现,从而在蜂窝晶状体的两个sublattices之间引起了交错的费米尼密度模式。
Immersed in external magnetic fields ($B$), buckled graphene constitutes an ideal tabletop setup, manifesting a confluence of time-reversal symmetry (${\mathcal T}$) breaking Abelian ($B$) and ${\mathcal T}$-preserving strain-induced internal axial ($b$) magnetic fields. In such a system, here we numerically compute two-terminal conductance ($G$), and four- as well as six-terminal Hall conductivity ($σ_{xy}$) for spinless fermions. On a flat graphene ($b=0$), the $B$ field produces quantized plateaus at $G=\pm |σ_{xy}|=(2n+1) e^2/h$, where $n=0,1,2, \cdots$. The strain induced $b$ field lifts the two-fold valley degeneracy of higher Landau levels and leads to the formation of additional even-integer plateaus at $G=\pm |σ_{xy}|= (2,4,\cdots)e^2/h$, when $B>b$. While the same sequence of plateaus is observed for $G$ when $b>B$, the numerical computation of $σ_{xy}$ in Hall bar geometries in this regime becomes unstable. A plateau at $G=σ_{xy}=0$ always appears with the onset of a charge-density-wave order, causing a staggered pattern of fermionic density between two sublattices of the honeycomb lattice.