AI 中文总结
研究具有破缺反演对称性的格点复合费米液体的输运，揭示其因对称性破缺产生的非解析输运特征，可在扭转MoTe₂等实验中检验。
AI 中文摘要
我们研究具有破缺反演对称性的半填充陈带中实现的格点复合费米液体的输运性质。结果表明，降低的晶体对称性会暴露出复合费米子固有的奇异动力学响应，这种响应在常规朗道能级设定中是隐藏的。在零波矢下，反演破缺使得规范场涨落产生非解析的纵向光学电阻率，对于门屏蔽的库仑相互作用，满足Reρ^xx(ω)~|ω|^{4/3}。在有限波矢q下，反演破缺导致非互易输运和霍尔电导率的非解析~|q|依赖关系，两者均可通过表面声波传播探测。我们还讨论了格点复合费米液体中奇异直流输运的另一种机制：复合费米表面处2k_F散射的重正化增强了Umklapp弛豫，可导致电阻率的非解析温度依赖关系。综上，我们的结果确定了格点复合费米液体的输运特征，这些特征在其连续量子霍尔对应物中不存在，且可在正在进行的关于扭转MoTe₂和菱面石墨烯的实验中直接检验，近期已有研究报道了零场复合费米液体的证据。
英文摘要
We study transport in lattice composite Fermi liquids realized in half-filled Chern bands with broken inversion symmetry. We show that reduced crystalline symmetry exposes intrinsic singular dynamical responses of composite fermions that are otherwise hidden in the conventional Landau-level setting. At zero wave vector, inversion breaking allows gauge-field fluctuations to generate a non-analytic longitudinal optical resistivity, with $\operatorname{Re}ρ^{xx}(ω)\sim |ω|^{4/3}$ for gate-screened Coulomb interactions. At finite wave vector $\mathbf{q}$, inversion breaking leads to nonreciprocal transport and a non-analytic $\sim |\mathbf{q}|$ dependence of the Hall conductivity, both of which can be probed through surface acoustic wave propagation. We also discuss a distinct mechanism for singular DC transport in lattice composite Fermi liquids: renormalization of $2k_F$ scattering at the composite Fermi surface enhances Umklapp relaxation and can lead to a non-analytic temperature dependence of the resistivity. Taken together, our results identify transport signatures of lattice composite Fermi liquids that are absent in their continuum quantum Hall counterparts and can be directly tested in ongoing experiments on twisted MoTe$_2$ and rhombohedral graphene, where evidence for zero-field composite Fermi liquids has recently been reported.
Comments21 pages, 6 figures, 10 page appendix
