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首页> 外文期刊>Physical review >Phase diagram of electronic systems with quadratic Fermi nodes in 2 < d <4: 2 + ∈ expansion, 4 -Є expansion, and functional renormalization group
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Phase diagram of electronic systems with quadratic Fermi nodes in 2 < d <4: 2 + ∈ expansion, 4 -Є expansion, and functional renormalization group

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摘要

Several materials in the regime of strong spin-orbit interaction such as HgTe, the pyrochlore iridate Pr_2Ir_2O_7, and the half-Heusler compound LaPtBi, as well as various systems related to these three prototype materials, are believed to host a quadratic band touching point at the Fermi level. Recently, it has been proposed that such a three-dimensional gapless state is unstable to a Mott-insulating ground state at low temperatures when the number of band touching points N at the Fermi level is smaller than a certain critical number N_c. We further substantiate and quantify this scenario by various approaches. Using Є expansion near two spatial dimensions, we show that N_c = 64/(25Є~2) + 0(1 /Є) and demonstrate that the instability for N < N_c is towards a nematic ground state that can be understood as if the system were under (dynamically generated) uniaxial strain. We also propose a truncation of the functional renormalization group equations in the dynamical bosonization scheme which we show to agree to one-loop order with the results from Є expansion both near two as well as near four dimensions, and which smoothly interpolates between these two perturbatively accessible limits for general 2 < d < 4. Directly in d = 3 we therewith find N_c = 1.86, and thus again above the physical N = 1. All these results are consistent with the prediction that the interacting ground state of pure, unstrained HgTe, and possibly also Pr_2Ir_2O_7, is a strong topological insulator with a dynamically generated gap-a topological Mott insulator.
机译：据信，在强自旋轨道相互作用中的几种材料，例如HgTe，烧绿的铱酸盐Pr_2Ir_2O_7和半Heusler化合物LaPtBi，以及与这三种原型材料有关的各种系统，在2000年具有一个二次谱带接触点。费米水平。近来，已经提出当费米能级上的带接触点N的数量小于某个临界数N_c时，这种三维无间隙状态在低温下对于莫特绝缘基态不稳定。我们通过各种方法进一步证实和量化这种情况。利用在两个空间维度附近的Є展开，我们证明N_c = 64 /（25Є〜2）+ 0（1 / /Є）并证明N

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  • 来源
    《Physical review》 |2017年第7期|075101.1-075101.15|共15页
  • 作者

    Lukas Janssen; Igor F. Herbut;

  • 作者单位

    Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany;

    Department of Physics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6;

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