Beyond the Fermi Liquid Paradigm: Hidden Fermi Liquids

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.

perspective article

References in corpus (8)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• Laser ARPES, the sudden approximation, and quasiparticle-like peaks in Bi2Sr2CaCu2O8+delta
• Paired composite fermion wavefunctions
• Experimental setup for low-energy laser-based angle resolved photoemission spectroscopy
• Paired composite fermion phase of quantum Hall bilayers at ν= 1/2 + 1/2
• Hidden Fermi Liquid: The Secret of High Tc Cuprates

Cited by in corpus (27)

• Strange metal without magnetic criticality
• Hartree-Fock Computation of the High-Tc Cuprate Phase Diagram
• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Emergent Bloch Excitations in Mott Matter
• Quantum Phase Transition in the Yukawa-SYK Model
• Direct Search for a Ferromagnetic Phase in a Heavily Overdoped Nonsuperconducting Copper Oxide
• Fermi liquid behaviour in an underdoped high Tc superconductor
• Unconventional quantum criticality emerging as a new common language of transition-metal compounds, heavy-fermion systems, and organic conductors
• Quantum-embedding description of the Anderson lattice model with the ghost Gutzwiller Approximation
• Composite Fermion Metals from Dyon Black Holes and S-Duality
• Superconducting critical temperature in the extended diffusive SYK model
• The intrinsic features of the specific heat at half-filled Landau levels of two-dimensional electron systems
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Dynamics of the Wigner Crystal of Composite Particles
• Jastrow-Correlated Wavefunctions for Flat-Band Lattices
• ω/T scaling of the optical conductivity in strongly correlated layered cobalt oxide
• Pendulum in Fermi liquid
• Berry phase of the composite Fermi-liquid
• Breakdown of Landau Fermi liquid theory: restrictions on the degrees of freedom of quantum electrons
• A Composite Fermion Approach to the Ultracold Dilute Fermi Gas
• Low-lying quasiparticle excitations in strongly-correlated superconductors: An ansatz from BCS quasiparticle excitations?
• Current quantization and fractal hierarchy in a driven repulsive lattice gas
• Superconductivity from a non-Fermi liquid metal : Kondo fluctuation mechanism in the slave-fermion theory
• The extended diffusive Sachdev-Ye-Kitaev model as a sort of "strange metal"
• Emergence of Dirac Composite Fermions: Dipole Picture
• Renormalization Group Flow for Noncommutative Fermi Liquids
• Generalizing the composite fermion theory for fractional Chern insulators