Itinerant Quantum Critical Point with Fermion Pockets and Hot Spots

Abstract

Metallic quantum criticality is among the central theme in the understanding of correlated electronic systems, and converging results between analytical and numerical approaches are still under calling. In this work, we develop state-of-art large scale quantum Monte Carlo simulation technique and systematically investigate the itinerant quantum critical point on a 2D square lattice with antiferromagnetic spin fluctuations at wavevector $\mathbf{Q}=(\pi ,\pi )$ -- a problem that resembles the Fermi surface setup and low-energy antiferromagnetic fluctuations in high-Tc cuprates and other critical metals, which might be relevant to their non-Fermi-liquid behaviors. System sizes of $60\times 60\times 320$ ($L\times L\times L_{\tau }$) are comfortably accessed, and the quantum critical scaling behaviors are revealed with unprecedingly high precision. We found that the antiferromagnetic spin fluctuations introduce effective interactions among fermions and the fermions in return render the bare bosonic critical point into a new universality, different from both the bare Ising universality class and the Hertz-Mills-Moriya RPA prediction. At the quantum critical point, a finite anomalous dimension $\eta \sim 0.125$ is observed in the bosonic propagator, and fermions at hot spots evolve into a non-Fermi-liquid. In the antiferromagnetically ordered metallic phase, fermion pockets are observed as energy gap opens up at the hot spots. These results bridge the recent theoretical and numerical developments in metallic quantum criticality and can be served as the stepping stone towards final understanding of the 2D correlated fermions interacting with gapless critical excitations.

arXiv comment11 pages, 10 figures, revised version with more discussion and updated references

References in corpus (45)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• The break up of heavy electrons at a quantum critical point
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Are non-Fermi-liquids stable to Cooper pairing?
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Self-Learning Monte Carlo Method
• Superconductivity in the vicinity of antiferromagnetic order in CrAs
• Critical fermi surfaces and non-fermi liquid metals
• Soft Fermi Surfaces and Breakdown of Fermi Liquid Behavior
• Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
• Pressure induced superconductivity on the border of magnetic order in MnP
• Recent Developments in Non-Fermi Liquid Theory
• Quantum-critical behavior of itinerant ferromagnets
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Charged fermions coupled to ${\mathbb{Z}}_2$ gauge fields: Superfluidity, confinement and emergent Dirac fermions
• What makes the Tc of monolayer FeSe on SrTiO3 so high: a sign-problem-free quantum Monte Carlo study
• Monte Carlo Studies of Quantum Critical Metals
• Instabilities near the onset of spin density wave order in metals
• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Self-Learning Monte Carlo Method in Fermion Systems
• Competing Orders in a Nearly Antiferromagnetic Metal
• Thermal Ising transitions in the vicinity of two-dimensional quantum critical points
• Anomalous dynamical scaling from nematic and U(1)-gauge field fluctuations in two dimensional metals
• Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons
• Self-Learning Determinantal Quantum Monte Carlo Method
• Self-learning Monte Carlo with Deep Neural Networks
• Density-wave instabilities of fractionalized Fermi liquids
• Non-Fermi-liquid at (2+1)d ferromagnetic quantum critical point
• Exact critical exponents for the antiferromagnetic quantum critical metal in two dimensions
• Quantum critical properties of a metallic spin density wave transition
• Self-Learning Monte Carlo Method: Continuous-Time Algorithm
• Fluctuating Stripes in Strongly Correlated Electron Systems and the Nematic-Smectic Quantum Phase Transition
• Symmetry Enforced Self-Learning Monte Carlo Method Applied to the Holstein Model
• Spin conservation and Fermi liquid near a ferromagnetic quantum critical point
• Unified phase diagram for iron-based superconductors
• Itinerant quantum critical point with frustration and non-Fermi-liquid
• Nematic Quantum Critical Fluctuations in BaFe${}_{2-x}$Ni${}_x$As${}_2$
• Dynamical Generation of Topological Masses in Dirac Fermions
• Caution on emergent continuous symmetry: a Monte Carlo investigation of transverse-field frustrated Ising model on triangle and honeycomb lattices
• Anisotropic Non-Fermi Liquids
• Effect of nematic order on the low-energy spin fluctuations in detwinned BaFe${}_{1.935}$Ni${}_{0.065}$As${}_2$
• Topological phase transitions with SO(4) symmetry in (2+1)d interacting Dirac fermions
• EMUS-QMC: Elective Momentum Ultra-Size Quantum Monte Carlo Method
• Evolution of Magnetic Double Helix and Quantum Criticality near a Dome of Superconductivity in CrAs

Cited by in corpus (22)

• Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations
• Higher-form symmetry breaking at Ising transitions
• Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
• Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data
• Yukawa-SYK model and Self-tuned Quantum Criticality
• Phase diagram of the spin-1/2 Yukawa-SYK model: Non-Fermi liquid, insulator, and superconductor
• Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations
• Fermi-surface reconstruction without symmetry breaking
• Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal: a Monte Carlo study
• Metal to Orthogonal Metal Transition
• The dynamical exponent of a quantum critical itinerant ferromagnet: a Monte Carlo study
• Non-Hertz-Millis scaling of the antiferromagnetic quantum critical metal via scalable Hybrid Monte Carlo
• Mitigating the fermion sign problem by automatic differentiation
• Specific Heat of a Quantum Critical Metal
• Thermal effects in non-Fermi liquid superconductivity
• Solving quantum rotor model with different Monte Carlo techniques
• Momentum space entanglement of interacting fermions
• A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
• Network-Initialized Monte Carlo Based on Generative Neural Networks
• The ALF (Algorithms for Lattice Fermions) project release 2.4. Documentation for the auxiliary-field quantum Monte Carlo code
• Observation of non-Fermi liquid physics in a quantum critical metal via quantum loop topography
• Effects of general non-magnetic quenched disorder on a spin-density-wave quantum critical metallic system in two spatial dimension