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arXiv 1401.7012cond-mat.str-elhep-th
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二维金属的Ising-Schottky量子临界点附近的输运

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

Sean A. Hartnoll, Raghu Mahajan, Matthias Punk, Subir Sachdev

摘要:

我们考虑二维金属附近的Pomeranchuk不稳定性,打破90 $^\circ$晶格旋转对称性。这种金属实现了强耦合的非费米液体,具有伊辛-费米子阶的临界波动。在低温下,杂质散射提供了动量弛豫的主要来源,因此非零电阻率。在不假设准粒子存在的情况下,我们用记忆矩阵方法计算了这种非费米液体在杂质势中的二阶电阻率。在$d$波通道中的杂质散射作为伊辛-伊辛阶的随机“场”。我们发现贡献的电阻率与一个接近线性的温度依赖性,随着更多的奇异项;最奇异的是随机场的贡献,发散在零温度的限制。

英文摘要:

We consider two-dimensional metals near a Pomeranchuk instability which breaks 90$^\circ$ 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 non-zero 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.

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