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arXiv 2009.10084cond-mat.str-elcond-mat.mes-hall
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电子-声子流体力学

Electron-phonon hydrodynamics

Xiaoyang Huang, Andrew Lucas

摘要:

假设umklapp过程可以忽略,我们发展了各向同性费米液体的电子耦合到各向同性声学声子的流体力学理论。在低温下,流体近似为伽利略不变量;在高温下,流体近似为相对论性;在中间温度下,在三维系统中存在七个具有非常规热力学性质和流体动力学输运系数的额外温度区域。我们预测定性签名的电子-声子流体的非相干输运系数,剪切和霍尔粘度,等离子体色散关系。我们的理论可能与许多量子材料有关,其中强电子-声子散射被认为是流体动力学机制的基础,包括$\mathrm{WTe}_2$、$\mathrm{WP}_2$和$\mathrm{PtSn}_4$。

英文摘要:

We develop the theory of hydrodynamics of an isotropic Fermi liquid of electrons coupled to isotropic acoustic phonons, assuming that umklapp processes may be neglected. At low temperatures, the fluid is approximately Galilean invariant; at high temperatures, the fluid is nearly relativistic; at intermediate temperatures, there are seven additional temperature regimes with unconventional thermodynamic properties and hydrodynamic transport coefficients in a three-dimensional system. We predict qualitative signatures of electron-phonon fluids in incoherent transport coefficients, shear and Hall viscosity, and plasmon dispersion relations. Our theory may be relevant for numerous quantum materials where strong electron-phonon scattering has been proposed to underlie a hydrodynamic regime, including $\mathrm{WTe}_2$, $\mathrm{WP}_2$, and $\mathrm{PtSn}_4$.

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