Antiferromagnetism induced by electron-phonon-coupling

Abstract

Antiferromagnetism (AF) such as Neel ordering is often closely related to Coulomb interactions such as Hubbard repulsion in two-dimensional (2D) systems. Whether Neel AF ordering in 2D can be dominantly induced by electron-phonon couplings (EPC) has not been completely understood. Here, by employing numerically-exact sign-problem-free quantum Monte Carlo (QMC) simulations, we show that optical Su-Schrieffer-Heeger (SSH) phonons with frequency $\omega$ and EPC constant $\lambda$ can induce AF ordering for a wide range of phonon frequency $\omega >{\omega }_c$. For $\omega <{\omega }_c$, a valence-bond-solid (VBS) order appears and there is a direct quantum phase transition between VBS and AF phases at ${\omega }_c$. The phonon mechanism of the AF ordering is related to the fact that SSH phonons directly couple to electron hopping whose second-order process can induce an effective AF spin exchange. Our results shall shed new lights to understanding AF ordering in correlated quantum materials.

6.2 pages + Supplemental materials, 6 figures; v2: added more references

References in corpus (24)

• "Deconfined" quantum critical points
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Fermionic quantum criticality in honeycomb and $\pi$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
• Monolayer FeSe on SrTiO${}_3$
• Efficient DMFT-simulation of the Holstein-Hubbard Model
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Electron-Phonon Coupling from $\text{Ab Initio}$ Linear-Response Theory within the $GW$ Method: Correlation-Enhanced Interactions and Superconductivity in Ba${}_{1-x}$K${}_x$BiO${}_3$
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Polaronic behavior of undoped high-Tc cuprates
• Two-dimensional Hubbard-Holstein bipolaron
• Nodeless pairing in superconducting copper-oxide monolayer films on Bi2Sr2CaCu2O8+δ
• Superlight small bipolarons in the presence of strong Coulomb repulsion
• Strong coupling superconductivity in trilayer film LiB${}_2$C${}_2$
• Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
• Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension
• The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method
• Constrained-Path Auxiliary-Field Quantum Monte Carlo for Coupled Electrons and Phonons

Cited by in corpus (38)

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• Valence-bond solid to antiferromagnet transition in the two-dimensional Su-Schrieffer-Heeger model by Langevin dynamics
• Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Robustness of Antiferromagnetism in the Su-Schrieffer-Heeger-Hubbard model
• Fast and scalable quantum Monte Carlo simulations of electron-phonon models
• A hybrid Monte Carlo study of bond-stretching electron-phonon interactions and charge order in BaBiO${}_3$
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• Combining Electron-Phonon and Dynamical Mean-Field Theory Calculations of Correlated Materials: Transport in the Correlated Metal Sr${}_2$RuO${}_4$
• A functional renormalization group study of the two dimensional Su-Schrieffer-Heeger-Hubbard model
• Bipolaronic superconductivity out of a Coulomb gas
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Ground state and spectral properties of the doped one-dimensional optical Hubbard-Su-Schrieffer-Heeger model
• Phonon-modulated-hopping Polarons: X-representation Technique
• Efficient Quantum Simulation of Electron-Phonon Systems by Variational Basis State Encoder
• Phases and Exotic Phase Transitions of a Two-Dimensional Su-Schrieffer-Heeger Model
• "Quantum bipolaron" superconductivity from quadratic electron-phonon coupling
• Resonating Valence Bond States in an Electron-Phonon System
• Attractive Su-Schrieffer-Heeger-Hubbard Model on a Square Lattice Away from Half-Filling
• Electronic orders on the kagome lattice at the lower Van Hove filling
• Semi-classical theory of bipolaronic superconductivity in a bond-modulated electron-phonon model
• Real-time evolution of static electron-phonon models in time-dependent electric fields
• Light-induced odd-parity altermagnets on dimerized lattices
• Robust d-wave superconductivity from the Su-Schrieffer-Heeger-Hubbard model: possible route to high-temperature superconductivity
• Phonon Induced Instabilities in Correlated Electron Hamiltonians
• Hubbard and Heisenberg models on hyperbolic lattices: Metal-insulator transitions, global antiferromagnetism, and enhanced boundary fluctuations
• Quantum spin liquid from electron-phonon coupling
• Enhancement of Charge Density Wave Correlations in a Holstein Model with an Anharmonic Phonon Potential
• Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
• High-temperature superconductivity induced by the Su-Schrieffer-Heeger electron-phonon coupling
• Magnetic, charge, and bond order in the two-dimensional Su-Schrieffer-Heeger-Holstein model
• Fractionalized Fermi liquids and the cuprate phase diagram
• Kekulé valence bond order in the Hubbard model on the honeycomb lattice with possible lattice distortions for graphene
• Antiferromagnetic and bond-order-wave phases in the half-filled two-dimensional optical Su-Schrieffer-Heeger-Hubbard model
• Intertwined fluctuations and isotope effects in the Hubbard-Holstein model on the square lattice from functional renormalization
• Anomalous isotope Effect in d-wave superconductors on the square lattice
• Spectral signatures of residual electron pairing in the extended-Hubbard-Su-Schrieffer-Heeger model
• Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model