Lattice models for non-Fermi liquid metals

Abstract

We present two 2D lattice models with non-Fermi liquid metallic phases. We show that the low energy physics of these models is exactly described by a Fermi sea of fractionalized quasiparticles coupled to a fluctuating U(1) gauge field. In the first model, the underlying degrees of freedom are spin 1/2 fermions. This model demonstrates that electrons can in principle give rise to non-Fermi liquid metallic phases. In the second model, the underlying degrees of freedom are spinless bosons. This model provides a concrete example of a (non-Fermi liquid) Bose metal. With little modification, it also gives an example of a critical U(1) symmetric spin liquid.

6 pages, 5 figures

References in corpus (10)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Quantum criticality
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Three dimensional resonating valence bond liquids and their excitations
• Algebraic charge liquids
• D-wave correlated Critical Bose Liquids in two dimensions
• Stability of the U(1) spin liquid with spinon Fermi surface in 2+1 dimensions
• Hole dynamics in an antiferromagnet across a deconfined quantum critical point