Anisotropy induces non-Fermi-liquid behavior and nematic magnetic order in three-dimensional Luttinger semimetals
Anisotropy induces non-Fermi-liquid behavior and nematic magnetic order in three-dimensional Luttinger semimetals
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DOI：
10.1103/physrevb.95.075149
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发表时间：
2017-02-27
影响因子：
3.7
通讯作者：
Herbut, Igor F.
中科院分区：
文献类型：
--
作者：
Boettcher, Igor;Herbut, Igor F.
我们阐明了空间各向异性在具有二次能带接触和长程库仑相互作用的三维Luttinger半金属中所起的有趣作用。我们观察到各向异性受到异常缓慢的重整化群(RG)演化的影响，因此在计算量子涨落对系统剩余耦合的影响时，它可以被认为是近似恒定的。然后利用微扰RG，我们研究了固定各向异性的长程相互作用所产生的所有局域短程相互作用的竞争。对于足够强的各向异性，有两个主要影响被曝光。首先，三维系统具有阿布里科索夫非费米液体基态。第二，出现了定性的新的不动点，它描述了量子相变成具有向磁级的相--打破时间-反转对称性的更高阶张量级，因此既具有向列型又具有磁性。在真实材料中，这些相可以通过足够强的微观短程相互作用来实现。在焦绿石晶格上，各向异性引起的不动点决定了电子局域磁矩的全入全出或自旋冰序的开始。
We illuminate the intriguing role played by spatial anisotropy in three-dimensional Luttinger semimetals featuring quadratic band touching and long-range Coulomb interactions. We observe the anisotropy to be subject to an exceptionally slow renormalization group (RG) evolution so that it can be considered approximately constant when computing the impact of quantum fluctuations on the remaining couplings of the system. Using perturbative RG, we then study the competition of all local short-range interactions that are generated from the long-range interactions for fixed anisotropy. Two main effects come to light for sufficiently strong anisotropy. First, the three-dimensional system features an Abrikosov non-Fermi-liquid ground state. Second, there appear qualitatively new fixed points, which describe quantum phase transitions into phases with nemagnetic orders-higher-rank tensor orders that break time-reversal symmetry, and thus have both nematic and magnetic character. In real materials, these phases may be realized through sufficiently strong microscopic short-range interactions. On the pyrochlore lattice, the anisotropy-induced fixed points determine the onset of all-in-all-out or spin ice ordering of local magnetic moments of the electrons.