Towards the Hall viscosity of the Fermi-liquid-like phase at the filling factor of 1/2

TL;DR

This paper investigates the Hall viscosity of the Fermi-liquid-like phase at filling factor 1/2, showing it matches the Laughlin state value under certain conditions, through Berry curvature calculations.

Contribution

It provides a theoretical analysis of Hall viscosity for the Fermi-liquid-like state at 1/2 filling, extending understanding of topological properties in this phase.

Findings

Hall viscosity matches Laughlin state value in linear response

Value persists under general deformations in the thermodynamic limit

Berry curvature calculations support these results

Abstract

We discuss the Berry curvature calculations of the Hall viscosity for the unprojected to the lowest Landau level wave function of the Fermi-liquid-like state. We conclude, within assumptions made, that in the linear response, with small deformation of the system and in the thermodynamic limit, the Hall viscosity takes the value characteristic for the Laughlin states. We present arguments that the value is the same even for general deformations in the same limit.