Infinite critical boson induced non-Fermi liquid in $d=3-\epsilon$ dimensions

Abstract

We study the fermion-boson coupled system in $d=3-\epsilon$ space dimensions near the quantum phase transition; infinite many boson modes located on a sphere become critical simultaneously, which is dubbed "critical boson sphere" (CBS). The fermions on the Fermi surface can be scattered to nearby points located on a boson ring in the low-energy limit. The number of boson scattering channel $N_B$ is also infinite, which renders the well-known Landau damping effect largely suppressed. The one-loop renormalization group analysis is performed with asymptotic $\epsilon$-expansion. We find that the fermion self-energy and Yukawa interaction vertex are dressed with $\epsilon$ poles; in addition, there emerges an enhancement due to the curvature effect of CBS. In certain perturbative regimes, we identify a marginal non-Fermi liquid (NFL) fixed point that exists intrinsically in the large-$N_B$ limit. The infinite critical bosons comprise a physical realization of the flavor degrees of freedom which has been proposed for matrix large-$N_B$ bosons.

arXiv comment13 pages, 4 figures

References in corpus (35)

• Renormalization Group Approach to Interacting Fermions
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Spin-orbit coupled Bose-Einstein condensates
• Non-Fermi Liquid Fixed Point in 2+1 Dimensions
• Recent Developments in Non-Fermi Liquid Theory
• Ring exchange, the Bose metal, and bosonization in two dimensions
• The Elusive Bose Metal
• Spin-fermion model near the quantum critical point: one-loop renormalization group results
• Renormalization Group Approach to Low Temperature Properties of a Non-Fermi Liquid Metal
• Unconventional states of bosons with synthetic spin-orbit coupling
• Perturbative non-Fermi liquids from dimensional regularization
• Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev model
• Large $N$ theory of critical Fermi surfaces
• D-wave correlated Critical Bose Liquids in two dimensions
• Non-Fermi liquid fixed point in a Wilsonian theory of quantum critical metals
• Stability of the U(1) spin liquid with spinon Fermi surface in 2+1 dimensions
• Non-Fermi liquid behavior of large N_B quantum critical metals
• Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
• Chiral non-Fermi Liquids
• A controlled expansion for certain non-Fermi liquid metals
• Two dimensional non-Fermi liquid metals: a solvable large N limit
• Quantum critical metals in $d=3+1$
• Quantum critical metals in $4-\epsilon$ dimensions
• Statistical transmutation in Floquet driven optical lattices
• Pair density wave order from electron repulsion
• Fermi surfaces in general co-dimension and a new controlled non-trivial fixed point
• Bose-Luttinger Liquids
• Aspects of Renormalization in Finite Density Field Theory
• Metallic state in bosonic systems with continuously degenerate minima
• Ultraviolet-Infrared Mixing in Marginal Fermi Liquids
• Geometric frustration produces long-sought Bose metal phase of quantum matter
• Perturbative Critical Behavior from Spacetime Dependent Couplings
• Infinite critical boson non-Fermi liquid
• Non-Fermi liquid induced by Bose metal with protected subsystem symmetries
• Infinite critical boson non-Fermi liquid on heterostructure interfaces

Cited by in corpus (2)

• Shot noise in a phenomenological model of a marginal Fermi liquid
• Spin pumping effect in non-Fermi liquid metals