The claimed intrinsic dipole moment at FQH edges is protected only at filling factor 1/3 and absent in other representative edge systems.
"Hall viscosity" and intrinsic metric of incompressible fractional Hall fluids
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The (guiding-center) "Hall viscosity" is a fundamental tensor property of incompressible ``Hall fluids'' exhibiting the fractional quantum Hall effect; it determines the stress induced by a non-uniform electric field, and the intrinsic dipole moment on (unreconstructed) edges. It is characterized by a rational number and an intrinsic metric tensor that defines distances on an ``incompressibility lengthscale''. These properties do not require rotational invariance in the 2D plane. The sign of the guiding-center Hall viscosity distinguishes particle fluids from hole fluids, and its magnitude provides a lower bound to the coefficient of the $O(q^4)$ small-q limit of the guiding center structure factor, a fundamental measure of incompressibility. This bound becomes an equality for conformally-invariant model wavefunctions such as Laughlin or Moore-Read states.
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A topical review of Skyrmion Hall effects that applies Ward identities to predict Hall viscosity as an antisymmetric viscosity component and surveys spin-torque and thermo-electromagnetic phenomena.
Reviews characterization, classification, and detection of crystalline symmetry-protected topological invariants in 2D integer and fractional Chern insulators, focusing on translation, rotation, and charge conservation.
citing papers explorer
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Does a Fractional Quantum Hall Edge Have a Protected Intrinsic Dipole Moment?
The claimed intrinsic dipole moment at FQH edges is protected only at filling factor 1/3 and absent in other representative edge systems.
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Topical Review on Skyrmions and Hall Transport
A topical review of Skyrmion Hall effects that applies Ward identities to predict Hall viscosity as an antisymmetric viscosity component and surveys spin-torque and thermo-electromagnetic phenomena.
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Crystalline topological invariants in quantum many-body systems
Reviews characterization, classification, and detection of crystalline symmetry-protected topological invariants in 2D integer and fractional Chern insulators, focusing on translation, rotation, and charge conservation.