论文标题
剪切应变下全息量子物质的热电传输
Thermoelectric Transport in Holographic Quantum Matter under Shear Strain
论文作者
论文摘要
我们使用全息二元性研究了在两个空间维量子物质中剪切应变下的热电传输。根据黑洞地平线数据获得了受到有限剪切应力的直流热电传导率的一般分析公式。电导率矩阵中的非对抗项也出现在零磁场上，类似于出现的电子态性，但在存在异常霍尔效应时无法识别出来。对于明确的模型研究，我们从数值上构建了一个紧张的黑洞家族，并获得相应的非线性应力 - 应变曲线。然后，我们计算所有电力，热电和导热率，并讨论应变的影响。虽然剪切弹性变形并不影响热电和热导率的温度依赖性，但它可以强烈改变电导率的行为。对于剪切硬化和软化案例，我们发现剪切变形驱动的透明金属 - 绝缘体过渡。此外，观察到较大的剪切变形的违反先前猜测的热导率结合。
We study the thermoelectric transport under shear strain in two spatial dimensional quantum matter using the holographic duality. General analytic formulae for the DC thermoelectric conductivities subjected to finite shear strain are obtained in terms of the black hole horizon data. Off-diagonal terms in the conductivity matrix appear also at zero magnetic field, resembling an emergent electronic nematicity which cannot nevertheless be identified with the presence of an anomalous Hall effect. For an explicit model study, we numerically construct a family of strained black holes and obtain the corresponding nonlinear stress-strain curves. We then compute all electric, thermoelectric, and thermal conductivities and discuss the effects of strain. While the shear elastic deformation does not affect the temperature dependence of thermoelectric and thermal conductivities quantitatively, it can strongly change the behavior of the electric conductivity. For both shear hardening and softening cases, we find a clear metal-insulator transition driven by the shear deformation. Moreover, the violation of the previously conjectured thermal conductivity bound is observed for large shear deformation.
