We present the quantum critical theory of an interacting nodal Fermi-liquid of quasi-relativisitc pseudo-spin-3/2 fermions that have a non-interacting \emph{birefringent} spectrum with \emph{two} distinct Fermi velocities. When such quasiparticles interact with gapless bosonic degrees of freedom that mediate either the long-range Coulomb interaction or its short range component (responsible for spontaneous symmetry breaking), in the deep infrared or quantum critical regime in two dimensions the system is respectively described by a \emph{marginal-} or a \emph{non-Fermi liquid} of relativistic spin-1/2 fermions (possessing a \emph{unique} velocity), and is always a \emph{marginal Fermi liquid} in three dimensions. We consider a possible generalization of these scenarios to fermions with an arbitrary half-odd-integer spin, and conjecture that critical spin-1/2 excitations represent a \emph{superuniversal} description of the entire family of interacting quasi-relativistic fermions.

中文翻译：

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从双折射电子到相对论自旋1/2费米子的边缘或非费米液体：新兴的超大学

我们提出了一种准相互作用的伪自旋3/2费米子相互作用的节点费米液体的量子临界理论，该费米液体具有非相互作用的\ emph {birefringent}光谱和\ emph {两个}费米速度。当此类准粒子与介导长距离库仑相互作用或其短距离分量（负责自发对称断裂）的无间隙玻色子自由度相互作用时，在二维的深红外或量子临界状态下，该系统分别用a表示。相对论自旋1/2费米子的\ emph {marginal-}或\ emph {非费米液体}（具有\ emph {unique}速度），并且始终是三维的\ emph {marginal Fermi液体}。我们考虑了将这些情况推广到具有任意半奇整数自旋的费米子的可能，