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Transport near the Ising-nematic quantum critical point of metals in two dimensions

机译:金属在二维Ising向列量子临界点附近的传输

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摘要

We consider two-dimensional metals near a Pomeranchuk instability which breaks 90° lattice rotation symmetry. Such metals realize strongly coupled non-Fermi liquids with critical fluctuations of an Ising-nematic order. At low temperatures, impurity scattering provides the dominant source of momentum relaxation and, hence, a nonzero electrical resistivity. We use the memory matrix method to compute the resistivity of this non-Fermi liquid to second order in the impurity potential, without assuming the existence of quasiparticles. Impurity scattering in the d-wave channel acts as a random "field" on the Ising-nematic order. We find contributions to the resistivity with a nearly linear temperature dependence, along with more singular terms; the most singular is the random-field contribution which diverges in the limit of zero temperature.
机译:我们考虑在Pomeranchuk不稳定性附近的二维金属,它破坏了90°晶格旋转对称性。这样的金属实现了具有Ising向列级的临界波动的强耦合非费米液体。在低温下,杂质散射是动量松弛的主要来源,因此电阻率不为零。我们使用存储矩阵方法来计算该非费米液体在杂质电势中的二级电阻率,而无需假设存在准粒子。 d波通道中的杂质散射充当Ising向列级的随机“场”。我们发现电阻率具有几乎线性的温度依赖性,并且具有更奇异的项;最奇异的是在零温度范围内发散的随机场贡献。

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