论文标题
从$ν_e= 7/3 $的条纹阶段可能连续过渡到条纹阶段
Possible continuous transition from fractional quantum Hall to stripe phase at $ν_e=7/3$
论文作者
论文摘要
我们研究$ n = 1 $ landau级别的$ν_e= 7/3 $状态的相图在带质量各向异性的存在下。使用密度矩阵重新归一化基团在无限的圆柱几何形状上，我们发现从拓扑排序的Laughlin Laughlin分数量子霍尔状态到条纹阶段的连续过渡，其周期约为五个半磁长。过渡是由磁极模式的凝结驱动的，磁极模式在临界点变得无间隙。我们将复合玻色子理论中的过渡解释为在超流体背景下条纹顺序的开始，这是由于roton模式变软而导致的。
We study the phase diagram of $ν_e=7/3$ state in the $N=1$ Landau level in the presence of band mass anisotropy. Using density matrix renormalization group on an infinite cylinder geometry, we find a continuous transition from the topologically ordered Laughlin fractional quantum Hall state to a stripe phase with a period of approximately five and a half magnetic lengths. The transition is driven by the condensation of the magnetoroton mode which becomes gapless at the critical point. We interpret the transition within the composite-boson theory as the onset of stripe order in a superfluid background, resulting from the roton mode going soft.
