论文标题
确定分数量子厅相的拓扑边缘量子数
Determination of topological edge quantum numbers of fractional quantum Hall phases
论文作者
论文摘要
为了确定托管下游托管（CP）下游（$ n_d $）和上游（$ n_u $）边缘模式的拓扑量子数（FQH）状态，在存在边缘模式平衡的情况下进行量化运输是量化运输的关键。在达到非平衡型制度对电荷运输方面的挑战时，我们在这里瞄准了热门电导$ g_ {q} $，该电源纯粹由边缘量子数字$ n_d $和$ n_u $控制。我们的实验设置是用HBN封装的石墨门单层石墨烯设备实现的。 For temperatures up to $35mK$, our measured $G_{Q}$ at $ν= $ 2/3 and 3/5 (with CP modes) match the quantized values of non-equilibrated regime $(N_d + N_u)κ_{0}T$, where $κ_{0}T$ is a quanta of $G_{Q}$.随着温度的升高，$ g_ {q} $减小，最终取得了平衡制度$ | n_d -n_u |κ_{0} t $的值。相比之下，$ν= $ 1/3和2/5（无CP模式），$ g_q $在$n_dκ__{0} t $中保持稳健量化，独立于温度。因此，在两个机制下测量$ g_ {q} $的量化值，我们确定了边缘量子数，这为查找异国非亚伯式FQH状态的拓扑顺序打开了新的途径。
To determine the topological quantum numbers of fractional quantum Hall (FQH) states hosting counter-propagating (CP) downstream ($N_d$) and upstream ($N_u$) edge modes, it is pivotal to study quantized transport both in the presence and absence of edge mode equilibration. While reaching the non-equilibrated regime is challenging for charge transport, we target here the thermal Hall conductance $G_{Q}$, which is purely governed by edge quantum numbers $N_d$ and $N_u$. Our experimental setup is realized with a hBN encapsulated graphite gated monolayer graphene device. For temperatures up to $35mK$, our measured $G_{Q}$ at $ν= $ 2/3 and 3/5 (with CP modes) match the quantized values of non-equilibrated regime $(N_d + N_u)κ_{0}T$, where $κ_{0}T$ is a quanta of $G_{Q}$. With increasing temperature, $G_{Q}$ decreases and eventually takes the value of equilibrated regime $|N_d - N_u|κ_{0}T$. By contrast, at $ν= $1/3 and 2/5 (without CP modes), $G_Q$ remains robustly quantized at $N_dκ_{0}T$ independent of the temperature. Thus, measuring the quantized values of $G_{Q}$ at two regimes, we determine the edge quantum numbers, which opens a new route for finding the topological order of exotic non-Abelian FQH states.
