标题： 多外尔半金属中的静水压力平衡 显示英文标题

标题： Hydrostatic equilibrium in multi-Weyl semimetals

摘要： 我们研究多外尔半金属的静力平衡，这是一类具有类似外尔准粒子但各向异性色散关系的系统$\omega^2 \sim k_\parallel^2 + k_\perp^{2n}$，其中$n$是一个正整数。 多外尔系统的特征之一是缺乏洛伦兹不变性，相反，它们具有简化的时空对称性$(SO(1,1)\times SO(2))\ltimes \mathbb R^4$。 在本工作中，我们提出了一个协变公式用于低能理论，允许费米子场与外部几何背景和$U(1)$规范场进行最小耦合。 场论的非洛伦兹结构要求引入类似于所谓的弦论牛顿-卡坦几何的亚里士多德时空\cite{Andringa:2012uz}。 我们的提议允许通过推导系统的配分函数来系统地研究其静力性质。 除了多外尔模型外，我们的公式还可以应用于具有类似时空对称群的系统，例如 Bjorken 流。 显示英文摘要

摘要： We study the hydrostatic equilibrium of multi-Weyl semimetals, a class of systems with Weyl-like quasi-particles but anisotropic dispersion relation $\omega^2 \sim k_\parallel^2 + k_\perp^{2n}$, with $n$ a possitive integer. A characteristic feature of multi-Weyl systems is the lack of Lorentz invariance, instead, they possess the reduced spacetime symmetry $(SO(1,1)\times SO(2))\ltimes \mathbb R^4$. In this work we propose a covariant formulation for the low energy theory, allowing for a minimal coupling of the fermion field to external geometric background and $U(1)$ gauge field. The non-Lorentzian structure of the field theory demands introducing an Aristotelian spacetime analogous to the so-called stringy Newton-Cartan geometry \cite{Andringa:2012uz}. Our proposal allows for a systematic study of the hydrostatic properties via the derivation of the partition function of the system. In addition to multi-Weyl models, our formulation can be applied to systems with similar spacetime symmetry groups, such as Bjorken flow.