pith. sign in

arxiv: 2605.27059 · v1 · pith:77IEGAVRnew · submitted 2026-05-26 · ❄️ cond-mat.mes-hall · cond-mat.str-el

Quantum Geometric Origin of Hall Viscosity and Nonlocal Hall Conductivity in Lattice Bands

classification ❄️ cond-mat.mes-hall cond-mat.str-el
keywords hallquantumbandslatticenonlocalviscosityberryconductivity
0
0 comments X
read the original abstract

We show that Hall viscosity in lattice bands is governed by a band-projected electric quadrupole encoded within the quantum geometry: Berry curvature sets the projected-coordinate algebra, while the quantum metric determines the quadrupolar spread of a wave packet. The same structure enters the quadratic wave-vector coefficient of the nonlocal Hall conductivity, yielding a lattice viscosity-conductivity relation. In ideal bands, the deviation from the Landau-level form is quantified by Berry curvature fluctuations. Our results establish the nonlocal Hall response as an electrical signature of the quantum geometry underlying Hall viscosity and as a transport diagnostic of geometric idealness.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.