Hydrodynamics with triangular point group

Abstract

When continuous rotational invariance of a two-dimensional fluid is broken to the discrete, dihedral subgroup $D_6$ - the point group of an equilateral triangle - the resulting anisotropic hydrodynamics breaks both spatial-inversion and time-reversal symmetries, while preserving their combination. In this work, we present the hydrodynamics of such $D_6$ fluids, identifying new symmetry-allowed dissipative terms in the hydrodynamic equations of motion. We propose two experiments - both involving high-purity solid-state materials with $D_6$-invariant Fermi surfaces - that are sensitive to these new coefficients in a $D_6$ fluid of electrons. In particular, we propose a local current imaging experiment (which is present-day realizable with nitrogen vacancy center magnetometry) in a hexagonal device, whose $D_6$-exploiting boundary conditions enable the unambiguous detection of these novel transport coefficients.

25+12 pages, 7+0 figures, 2+0 tables. v2: fixed typos. v3: revised version

References in corpus (18)

• Hydrodynamics of electrons in graphene
• Phonon hydrodynamics and ultrahigh-room-temperature thermal conductivity in thin graphite
• Imaging phonon-mediated hydrodynamic flow in WTe2
• Electromagnetic properties of viscous charged fluids
• Kinetic theory of transport for inhomogeneous electron fluids
• Electron-phonon hydrodynamics
• Hall viscosity in quantum systems with discrete symmetry: point group and lattice anisotropy
• Electron hydrodynamics with a polygonal Fermi surface
• Anomalous Hydrodynamic Transport in Interacting Noncentrosymmetric Metals
• Collective modes in interacting two-dimensional tomographic Fermi liquids
• Viscometry of electron fluids from symmetry
• Electron hydrodynamics of anomalous Hall materials
• Microscopic approach to the macrodynamics of matter with broken symmetries
• Nonequilibrium statistical mechanics of crystals
• Low-symmetry non-local transport in microstructured squares of delafossite metals
• Hydrodynamic effective field theories with discrete rotational symmetry
• Resolving Hall and dissipative viscosity ambiguities via boundary effects
• Artificial electric field and electron hydrodynamics

Cited by in corpus (5)

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• Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits
• Anisotropy of the hydrostatic stress for Hall droplets with in-plane magnetic field