Magnetodrag in the hydrodynamic regime: Effects of magnetoplasmon resonance and Hall viscosity

Abstract

In this work we study magnetotransport properties in electronic double layers of strongly correlated electron liquids. For sufficiently clean high-mobility samples, the high-temperature regime of transport in these systems can be described in pure hydrodynamic terms. We concentrate on the magnetic field dependence of longitudinal drag effect mediated by the interlayer Coulomb scattering and identify several mechanisms of transresistance which is caused by viscous flows, magnetoplasmon resonance, and dissipative thermal fluxes. In particular, we elucidate how Hall viscosity enters magnetodrag and modifies its temperature dependence in the magnetic field. arXiv:1905.09291v1 [cond-mat.mes-hall]

Valley and spin accumulation in ballistic and hydrodynamic channels

“…Description of anomalous transport in such ultrahigh mobility systems is a pressing problem. In recent works [66][67][68] some aspects of the electron anomalous transport have been addressed, however, the consistent theory of the VHE and SHE in the ballistic and hydrodynamic regimes is absent to the best of our knowledge. Our paper aims to fill this gap.…”

Hall viscosity and conductivity of two-dimensional chiral superconductors

“…In addition to the Hall conductivity, a clean two-dimensional system is characterized by a supplementary non-dissipative Hall response, the Hall (or odd) viscosity tensor η i jkl o (ω, q), that fixes the (odd under time-reversal) response of the stress tensor to the strain rate [15,16], see [17] for a review. Recently, observable signatures of the Hall viscosity have been vigorously studied in classical and quantum fluids both theoretically [18][19][20][21][22][23][24][25][26][27][28][29][30][31] and experimentally [32,33]. In a two-dimensional isotropic system that is invariant under the combined P T symmetry the odd viscosity tensor reduces to two independent components [34], in this paper to be denoted η (1) o (ω, q 2 ) and η (2) o (ω, q 2 ), respectively.…”

Drag viscosity of metals and its connection to Coulomb drag

“…However, if the dominant scattering process is due to electron-electron interactions, the electron liquid can be described hydrodynamically as it reaches local equilibrium at the scale of electron-electron scattering length which is much smaller compared with that of momentum relaxing processes. In recent years, hydrodynamic behavior of electrons has attracted a lot of interest [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], and has been observed experimentally in graphene [21][22][23], Weyl semimetals [24,25], ultrapure PdCoO 2 [26], PtSn 4 [27] and GaAs [28] In the hydrodynamics equations, the underlying microscopic physics is encoded by transport coefficients which measure a fluid's resistance to velocity or thermal gradient. Viscosity is a transport coefficient for momentum and enters the Navier-Stokes equation.…”

“…The plasmon contribution becomes important at higher temperature leading to a deviation from the linear behavior [44,[48][49][50]. For strongly correlated systems with large dimensionless interaction parameter r s 1, a hydrodynamics approach has been employed by Apostolov et al [18,19] to study the drag resistivity which is then expressed in terms transport coefficients such as viscosity.…”