Beyond the Fermi Liquid Paradigm: Hidden Fermi Liquids

TL;DR

This paper explores the concept of hidden Fermi liquids underlying non-Fermi liquid states in high temperature superconductivity and fractional quantum Hall systems, revealing a unifying paradigm with testable experimental implications.

Contribution

It identifies a common underlying Fermi liquid paradigm in two major non-Fermi liquid theories, offering new insights and experimental avenues.

Findings

Both theories relate exotic quantum liquids to ordinary Fermi liquids in unphysical Hilbert spaces

This connection leads to specific, testable experimental predictions

The unified perspective bridges high temperature superconductivity and fractional quantum Hall effect

Abstract

An intense investigation of possible non-Fermi liquid states of matter has been inspired by two of the most intriguing phenomena discovered in the past quarter century, namely high temperature superconductivity and the fractional quantum Hall effect. Despite enormous conceptual strides, these two fields have developed largely along separate paths. Two widely employed theories are the resonating valence bond theory for high temperature superconductivity and the composite fermion theory for the fractional quantum Hall effect. The goal of this "perspective" article is to note that they subscribe to a common underlying paradigm: they both connect these exotic quantum liquids to certain ordinary Fermi liquids residing in unphysical Hilbert spaces. Such a relation yields numerous nontrivial experimental consequences, exposing these theories to rigorous and definitive tests.