Remarks on the Current-Carrying State of Hall Superfluids

TL;DR

This paper explores the fundamental nature of current-carrying states in Hall superfluids, linking fractional charge, filling fraction rationality, and angular momentum quantization, with potential experimental implications.

Contribution

It provides a self-contained analysis connecting fractional charge and angular momentum quantization in Hall superfluids, offering new insights into their current-carrying states.

Findings

Connection between fractional charge and angular momentum quantization.

Discussion of preferred velocity profiles for bulk current flows.

Potential experimental approach to study quantum superfluidity.

Abstract

I discuss in an elementary and self-contained way the nature of the current-carrying state in Hall superfluids. The explicit connection of fractional charge and rationality of the filling fraction $\nu$ with quantization of angular momentum, and the discussion of the preferred velocity profile for bulk current flows may be new; the latter might provide an interesting experimental handle on a fundamental aspect of quantum superfluidity.