论文标题
Luttinger Fermions的量子性电动力学
Quantum-critical electrodynamics of Luttinger fermions
论文作者
论文摘要
我们研究了三个维度的二次带跨色散的Luttinger费米的量子电动力学。该模型可以看作是带有费米子Luttinger Spinon的推定$ U（1）$ u（1）$ u（1）$ u量的低能有效理论，或者是Luttinger-Abrikosov-Beneslavskii（Lab）模型的延伸，该模型是具有有限量式速率的横向计量波动。在低于四个维度的重新归一化组分析的帮助下，我们阐明了该模型中量子关键现象的存在和稳定性。我们发现，非Furmi液体实验室相对于量规波动是稳定的，因此也可以将其视为$ u（1）$旋转液体，带有无间隙的Luttinger Spinon。我们发现了一个具有LIFSHITZ缩放的多政治点，该点对应于从实验室状态到具有Spinon Landau水平的手性旋转液体和双重偏射的新兴光子的时间交流对称性量子相变。该多临界点的特征是红外线中有限的费米 - 光子耦合，可以看作是三维量子二聚体模型中Rokhsar-Kivelson点的费米子类似物。
We study the quantum electrodynamics of Luttinger fermions with quadratic band-crossing dispersion in three dimensions. The model can be viewed as the low-energy effective theory of a putative $U(1)$ quantum spin liquid with fermionic Luttinger spinons, or as an extension of the Luttinger-Abrikosov-Beneslavskii (LAB) model that accounts for transverse gauge fluctuations with finite photon velocity. Aided by a renormalization group analysis below four dimensions, we elucidate the presence and stability of quantum critical phenomena in this model. We find that the non-Fermi liquid LAB phase is stable against gauge fluctuations, and can thus also be viewed as a $U(1)$ spin liquid with gapless Luttinger spinons. We discover a multicritical point with Lifshitz scaling that corresponds to a time-reversal symmetry-breaking quantum phase transition from the LAB state to a chiral spin liquid with spinon Landau levels and birefringent emergent photons. This multicritical point is characterized by a finite fermion-photon coupling in the infrared and can be viewed as a fermionic analog of the Rokhsar-Kivelson point in three-dimensional quantum dimer models.
