Observation of non-Fermi liquid physics in a quantum critical metal via quantum loop topography

Abstract

Non-Fermi liquid physics is a ubiquitous feature in strongly correlated metals, manifesting itself in anomalous transport properties, such as a $T$-linear resistivity in experiments. However, its theoretical understanding in terms of microscopic models is lacking despite decades of conceptual work and attempted numerical simulations. Here we demonstrate that a combination of sign problem-free quantum Monte Carlo sampling and quantum loop topography, a physics-inspired machine learning approach, can map out the emergence of non-Fermi liquid physics in the vicinity of a quantum critical point with little prior knowledge. Using only three parameter points for training the underlying neural network, we are able to reproducibly identify a stable non-Fermi liquid regime tracing the fan of a metallic quantum critical points at the onset of both spin-density wave and nematic order. Our study thereby provides an important proof-of-principle example that new physics can be detected via unbiased machine-learning approaches.

6 pages, 4 figures, attached supplementary materials

References in corpus (9)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Quantum Criticality
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Electrical resistivity near Pomeranchuk instability in two dimensions
• Quantum critical properties of a metallic spin density wave transition
• Scattering mechanisms and electrical transport near an Ising nematic quantum critical point
• Probing transport in quantum many-fermion simulations via quantum loop topography

Cited by in corpus (4)

• Non-Fermi-Liquid Behavior from Cavity Electromagnetic Vacuum Fluctuations at the Superradiant Transition
• A simple framework for contrastive learning phases of matter
• Low-energy peak in the one-particle spectral function of the electron gas at metallic densities
• Strange metallicity in an antiferromagnetic quantum critical model: A sign-problem-free quantum Monte-Carlo study