Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals

Abstract

The quantum theory of antiferromagnetism in metals is necessary for our understanding of numerous intermetallic compounds of widespread interest. In these systems, a quantum critical point emerges as external parameters (such as chemical doping) are varied. Because of the strong coupling nature of this critical point, and the "sign problem" plaguing numerical quantum Monte Carlo (QMC) methods, its theoretical understanding is still incomplete. Here, we show that the universal low-energy theory for the onset of antiferromagnetism in a metal can be realized in lattice models, which are free from the sign problem and hence can be simulated efficiently with QMC. Our simulations show Fermi surface reconstruction and unconventional spin-singlet superconductivity across the critical point.

arXiv comment17 pages, 4 figures; (v2) revised presentation

References in corpus (18)

• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Hidden Magnetism and Quantum Criticality in the Heavy Fermion Superconductor CeRhIn5
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Scattering and Pairing in Cuprate Superconductors
• A Sharp Peak of the Zero-Temperature Penetration Depth at Optimal Composition in BaFe2(As1-xPx)2
• Superconductivity and the Pseudogap in the two-dimensional Hubbard model
• A sufficient condition for the absence of the sign problem in the fermionic quantum Monte-Carlo algorithm
• Relativistic Mott criticality in graphene
• Spin-fermion model near the quantum critical point: one-loop renormalization group results
• Strong coupling superconductivity, pseudogap and Mott transition
• Apical oxygens and correlation strength in electron and hole doped copper oxides
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• Magnetic Breakdown in the electron-doped cuprate superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$: the reconstructed Fermi surface survives in the strongly overdoped regime
• A Quantum Monte Carlo Method and Its Applications to Multi-Orbital Hubbard Models
• Quantum critical point shifts under superconductivity: the pnictides and the cuprates
• Quantum critical point for stripe order: An organizing principle of cuprate superconductivity
• Current Carrying Ground State in a Bi-layer Model
• Anomalous scaling at the quantum critical point

Cited by in corpus (147)

• Theory of Intertwined Orders in High Temperature Superconductors
• Enhancement of superconductivity near a nematic quantum critical point
• Are non-Fermi-liquids stable to Cooper pairing?
• Holographic quantum matter
• Accelerate Monte Carlo Simulations with Restricted Boltzmann Machines
• Recent Developments in Non-Fermi Liquid Theory
• Solving fermion sign problem in quantum Monte Carlo by Majorana representation
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Majorana-time-reversal symmetries: a fundamental principle for sign-problem-free quantum Monte Carlo simulations
• Ising nematic quantum critical point in a metal: a Monte Carlo study
• Fermion-induced quantum critical points
• Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev model
• Quantum Entanglement of Interacting Fermions in Monte Carlo
• Majorana Positivity and the Fermion sign problem of Quantum Monte Carlo Simulations
• Charged fermions coupled to ${\mathbb{Z}}_2$ gauge fields: Superfluidity, confinement and emergent Dirac fermions
• Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
• Geometry Dependence of the Sign Problem
• What makes the Tc of monolayer FeSe on SrTiO3 so high: a sign-problem-free quantum Monte Carlo study
• Fermion-sign-free Majarana-quantum-Monte-Carlo studies of quantum critical phenomena of Dirac fermions in two dimensions
• Quantum Critical Points and the Sign Problem
• Monte Carlo Studies of Quantum Critical Metals
• Superconductivity from the Condensation of Topological Defects in a Quantum Spin-Hall Insulator
• Self-Learning Monte Carlo Method in Fermion Systems
• Competing Orders in a Nearly Antiferromagnetic Metal
• Split orthogonal group: A guiding principle for sign-problem-free fermionic simulations
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Self-Learning Determinantal Quantum Monte Carlo Method
• Revisiting the Hybrid Quantum Monte Carlo Method for Hubbard and Electron-Phonon Models
• Quasi-Local Strange Metal
• Non-Fermi-liquid at (2+1)d ferromagnetic quantum critical point
• Finite-temperature Auxiliary-Field Quantum Monte Carlo: Self-Consistent Constraint and Systematic Approach to Low Temperatures
• Exact critical exponents for the antiferromagnetic quantum critical metal in two dimensions
• The ALF (Algorithms for Lattice Fermions) project release 1.0. Documentation for the auxiliary field quantum Monte Carlo code
• Mean field theory of competing orders in metals with antiferromagnetic exchange interactions
• Quantum critical properties of a metallic spin density wave transition
• Resilient nodeless $d$-wave superconductivity in monolayer FeSe
• Sign-problem-free Monte Carlo simulation of certain frustrated quantum magnets
• Antiferromagnetism induced by electron-phonon-coupling
• Superconductivity mediated by quantum critical antiferromagnetic fluctuations: The rise and fall of hot spots
• Observation of Emergent Spacetime Supersymmetry at Superconducting Quantum Criticality
• Singularity of the London penetration depth at quantum critical points in superconductors
• Edge quantum criticality and emergent supersymmetry in topological phases
• The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals
• Superconductivity at the onset of spin-density-wave order in a metal
• Polynomial complexity despite the fermionic sign
• Itinerant Quantum Critical Point with Fermion Pockets and Hot Spots
• Itinerant quantum critical point with frustration and non-Fermi-liquid
• Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
• Charge-4e superconductors: a Majorana quantum Monte Carlo study
• Enhancement of superconductivity at the onset of charge-density-wave order in a metal
• The nature of effective interaction in cuprate superconductors: a sign-problem-free quantum Monte-Carlo study
• Superconductivity and Nematic Fluctuations in a model of FeSe monolayers: A Determinant Quantum Monte Carlo Study
• Dynamical Generation of Topological Masses in Dirac Fermions
• Multidome superconductivity in charge density wave kagome metals
• Non-Fermi liquid Superconductivity: Eliashberg versus the Renormalization Group
• Robustness of Antiferromagnetism in the Su-Schrieffer-Heeger-Hubbard model
• Fast and scalable quantum Monte Carlo simulations of electron-phonon models
• Anisotropic Non-Fermi Liquids
• Competing nodal d-wave superconductivity and antiferromagnetism
• Yukawa-SYK model and Self-tuned Quantum Criticality
• A perspective on machine learning and data science for strongly correlated electron problems
• Quantum criticality of reconstructing Fermi surfaces in antiferromagnetic metals
• Emergence of a control parameter for the antiferromagnetic quantum critical metal
• Spin density wave order, topological order, and Fermi surface reconstruction
• Superconductivity of incoherent electrons in Yukawa-SYK model
• Is charge order induced near an antiferromagnetic quantum critical point?
• Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations
• Fermi-surface reconstruction without symmetry breaking
• Non-Fermi liquid at the FFLO quantum critical point
• Topological Origin of the Fermion Sign Problem
• Numerical stabilization of entanglement computation in auxiliary field quantum Monte Carlo simulations of interacting many-fermion systems
• Automatic Differentiable Monte Carlo: Theory and Application
• Evidence of a short-range incommensurate $d$-wave charge order from a fermionic two-loop renormalization group calculation of a 2D model with hot spots
• Field-theoretic functional renormalization group formalism for non-Fermi liquids and its application to the antiferromagnetic quantum critical metal in two dimensions
• Determinant quantum Monte Carlo for the half-filled Hubbard model with nonlocal density-density interactions
• Topological phase transitions with SO(4) symmetry in (2+1)d interacting Dirac fermions
• Many-variable variational Monte-Carlo study of superconductivity in two-band Hubbard models with an incipient band
• Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal: a Monte Carlo study
• Odd-parity superconductivity near inversion breaking quantum critical point in one dimension
• Electronic and phononic properties of a two dimensional electron gas coupled to dipolar phonons via small-momentum-transfer scattering
• Stochastic Differential Equations for Quantum Dynamics of Spin-Boson Networks
• EMUS-QMC: Elective Momentum Ultra-Size Quantum Monte Carlo Method
• Entanglement and the fermion sign problem in auxiliary field quantum Monte Carlo simulations
• An Amelioration for the Sign Problem: Adiabatic Quantum Monte Carlo
• Mitigating the fermion sign problem by automatic differentiation
• Specific Heat of a Quantum Critical Metal
• Non-Hertz-Millis scaling of the antiferromagnetic quantum critical metal via scalable Hybrid Monte Carlo
• Breakdown of Fermi liquid behavior near the hot spots in a two-dimensional model: A two-loop renormalization group analysis
• Fermion-induced quantum critical point in Dirac semimetals: a sign-problem-free quantum Monte Carlo study
• DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons
• Emergent dome of nematic order around a quantum anomalous Hall critical point
• Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis
• Fluctuation effects at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order with one pair of hot spots in two-dimensional metals
• Exotic Superconductivity Through Bosons in a Dynamical Cluster Approximation
• Edge stability and edge quantum criticality in 2D interacting topological insulators
• Noncommutativity between the low-energy limit and integer dimension limits in the $\mathbf{\epsilon }$-expansion: a case study of the antiferromagnetic quantum critical metal
• Semigroup approach to the sign problem in quantum Monte Carlo simulations
• Robustness of quantum critical pairing against disorder
• Biexciton Condensation in Electron-hole Doped Hubbard Bilayers -- A Sign-Problem-Free Quantum Monte Carlo Study
• Delay Update in determinant quantum Monte Carlo
• Electronic orders on the kagome lattice at the lower Van Hove filling
• Incommensurate $2k_F$ density wave quantum criticality in two dimensional metals
• Fermi surface pockets in electron-doped iron superconductor by Lifshitz transition
• Superconductivity by Hidden Spin Fluctuations in Electron-Doped Iron Selenide
• Spin Resonances in Iron-Selenide High-Tc Superconductors by Proximity to Hidden Spin Density Wave
• Emulating Quantum Interference with Generalized Ising Machines
• Doping-driven Antiferromagnetic Insulator -- Superconductor Transition: a Quantum Monte Carlo Study
• Strange metals and planckian transport in a gapless phase from spatially random interactions
• Renormalization Group Analysis of a Fermionic Hot Spot Model
• Sign structure and ground state properties for a spin-$S$ $t$-$J$ chain
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Space of non-Fermi liquids
• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
• Modeling unconventional superconductivity at the crossover between strong and weak electronic interactions
• Imaginary-time Mpemba effect in quantum many-body systems
• Boosting quantum Monte Carlo and alleviating sign problem by Gutzwiller projection
• Strain-induced superconductivity in Sr2IrO4
• Quantum spin liquid from electron-phonon coupling
• Domes of $T_c$ in single-band and multiband superconductors with finite-range attractive interactions
• Many-body chaos in the antiferromagnetic quantum critical metal
• Observation of non-Fermi liquid physics in a quantum critical metal via quantum loop topography
• The ALF (Algorithms for Lattice Fermions) project release 2.4. Documentation for the auxiliary-field quantum Monte Carlo code
• Quenched disorder at antiferromagnetic quantum critical points in $2d$ metals
• A short review of the recent progresses in the study of the cuprate superconductivity
• Fluctuation effects at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order with two pairs of hot spots in two-dimensional metals
• Non Fermi liquid behavior at flat hot spots from quantum critical fluctuations at the onset of charge- or spin-density wave order
• Boosting Determinant Quantum Monte Carlo with Submatrix Updates: Unveiling the Phase Diagram of the 3D Hubbard Model
• Preempting Fermion Sign Problem: Unveiling Quantum Criticality through Nonequilibrium Dynamics in Imaginary Time
• Ladder-like optical conductivity in the spin-fermion model
• Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time
• Strange metallicity in an antiferromagnetic quantum critical model: A sign-problem-free quantum Monte-Carlo study
• Fractionalized Fermi liquids and the cuprate phase diagram
• One-dimensional scattering of two-dimensional fermions near quantum criticality
• Probing transport in quantum many-fermion simulations via quantum loop topography
• Superconductivity at an antiferromagnetic quantum critical point: the role of energy fluctuations
• Interaction-enhanced nesting in Spin-Fermion and Fermi-Hubbard models
• Sample generation for the spin-fermion model using neural networks
• Ising Antiferromagnet in the 2D Hubbard Model with Mismatched Fermi Surfaces
• Effects of general non-magnetic quenched disorder on a spin-density-wave quantum critical metallic system in two spatial dimension
• Strong-coupling expansion of multi-band interacting models: mapping onto the transverse-field $J_1$-$J_2$ Ising model
• Ground state and spectral properties across a Charge Density Wave transition in a triangular-lattice spinless Fermion model
• Constraints from anti-unitary symmetries on phase diagrams of sign problem-free models
• Emergence of curved momentum-spacetime and its effect on the cyclotron motion in the antiferromagnetic quantum critical metal
• Marginal Fermi liquid behavior at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order in two-dimensional metals with flat hot spots
• Quantum-Critical Spin-Density Waves in Iron-Selenide High-Tc Superconductors
• Dynamical kinetic energy quenching in the antiferromagnetic quantum critical metals
• Complex path simulations of geometrically frustrated ladders