Incompressible Quantum Hall fluids as Electric Quadrupole fluids
arXiv:2302.12472
Abstract
A new picture of both integer and fractional incompressible quantum Hall fluids as fluids carrying a electric quadrupole is introduced. This clarifies their geometric properties, provides a generic expression for Hall viscosity, and allows removal of the ingredient of continuous rotational symmetry (absent when electrons move in a crystalline background) from their description.
5 pages, no figures; v2 adds a clarification to Eq. 3 and a new ref [25] to Yutushui and Mross; v3. add a ref [26] to Antonic et al.plus reworked abstract; v4. improvements, clarifications, and further references added in response to referee commments; v5. fix typo in formula in text after Eqn. 4 (missing factor of 1/2 (D -> (1/2)D)