论文标题
布里鲁因区域内具有多个高级范霍夫点的弱耦合不稳定性的斑点重归其化组分析
Parquet renormalization group analysis of weak-coupling instabilities with multiple high-order Van Hove points inside the Brillouin zone
论文作者
论文摘要
我们分析当布里鲁因区域内存在多个高阶范霍夫点时可能会出现的弱耦合不稳定性。我们认为的模型是受扭曲的双层石墨烯启发的，尽管该分析应该更普遍地适用。我们采用镶木木工重归其化组分析来确定领先的弱偶联不稳定性，并补充了金茨堡 - 兰豪（Ginzburg-Landau）治疗以解决任何退化。因此，我们确定了幂律状态差异密度弱的势力较弱可能发生的主要不稳定性。沿着独特的稳定固定轨迹发现了五个相关的相位，包括$ s $ - 波铁磁性，$ p $ - 波手性手性/螺旋超导性，$ d $ - 波 - 沃夫手性超导压，$ f $ f $ -wave-Wave valley polarly polarized Order和$ P $ - p $ -Wave Polarley Valley Valley-Polarley-Polarefield corder。相图对保留高阶范霍夫奇点的带变形是稳定的。
We analyze the weak-coupling instabilities that may arise when multiple high-order Van Hove points are present inside the Brillouin zone. The model we consider is inspired by twisted bilayer graphene, although the analysis should be more generally applicable. We employ a parquet renormalization group analysis to identify the leading weak-coupling instabilities, supplemented with a Ginzburg-Landau treatment to resolve any degeneracies. Hence we identify the leading instabilities that can occur from weak repulsion with the power-law divergent density of states. Five correlated phases are uncovered along distinct stable fixed trajectories, including $s$-wave ferromagnetism, $p$-wave chiral/helical superconductivity, $d$-wave chiral superconductivity, $f$-wave valley-polarized order, and $p$-wave polar valley-polarized order. The phase diagram is stable against band deformations which preserve the high-order Van Hove singularity.
