Hall viscosity, orbital spin, and geometry: Paired superfluids and quantum Hall systems
By N. Read, E. Rezayi. 2010
196 citations recorded by the source corpus.
The Hall viscosity, a nondissipative transport coefficient analogous to Hall conductivity, is considered for quantum fluids in gapped or topological phases. The relation of the Hall viscosity to the mean orbital spin per particle $\overline{s}$ (discovered in previous work) is elucidated with the help of examples and of the geometry of shear transformations and rotations. For noninteracting particles in a magnetic field, there are several ways to derive the result (even at nonzero temperature), including standard linear response theory. Arguments for the quantization, and the robustness of $\overline{s}$ to small changes in the Hamiltonian that preserve rotational invariance, are given. Numerical calculations of adiabatic transport are performed to check the predictions for quantum Hall systems, with excellent agreement for trial states. The coefficient of ${k}^{4}$ in the static structure factor is also considered and shown to be exactly related to the orbital spin and robust to perturbations in rotation invariant systems.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/443f4545735eceea62dac3f5c2e3fe4ed7584519
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Torsional anomalies, Hall viscosity, and bulk-boundary correspondence in topological states (2012, background): “QHE with rotation[8, 9] and translation invariance[10], and chiral superconductors[8, 11].”
- Quantum Hall physics : Hierarchies and conformal field theory techniques (2016, methodology): “(Read and Rezayi, 2011) it is claimed that in the presence of disorder “the shift ceases to have significance, due to the loss of rotational invariance on the sphere.”