2009/05/07 by J. K. Jain, P. W. Anderson
Physics and Astronomy · #Condensed matter physics #Electron #Fermi Gamma-ray Space Telescope #Fermi liquid theory #Fermion #Fractional quantum Hall effect #Hilbert space #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Superconductivity #Theoretical physics #Topological Materials and Phenomena #Valence (chemistry) #cond-mat.str-el
paper · pdf · doi:10.1073/pnas.0902901106
published as Proc. Natl. Acad. Sci. (U.S.A) vol. 106, 9131 (2009) · perspective article
arxiv created 2009/05/07 · openalex publication_date 2009/06/08 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.