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.

arXiv comment6.2 pages + Supplemental materials, 6 figures; v2: added more references

References in corpus (96)

• A Common Thread: the pairing interaction for the unconventional superconductors
• "Deconfined" quantum critical points
• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• How to detect fluctuating order in the high-temperature superconductors
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Interface induced high temperature superconductivity in single unit-cell FeSe films on SrTiO3
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO3
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
• Deconfined quantum critical points: symmetries and dualities
• Phonon-enhanced superconductivity at the FeSe/SrTiO3 interface
• Quantum criticality with two length scales
• Coupling Of The B1g Phonon To The Anti-Nodal Electronic States of Bi2Sr2Ca0.92Y0.08Cu2O(8+delta)
• A sufficient condition for the absence of the sign problem in the fermionic quantum Monte-Carlo algorithm
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators
• Polaron in t-J model
• Fermionic quantum criticality in honeycomb and $\pi$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
• Concepts relating magnetic interactions, intertwined electronic orders and strongly correlated superconductivity
• Solving fermion sign problem in quantum Monte Carlo by Majorana representation
• Emergent $SO(5)$ Symmetry at the Néel to Valence-Bond-Solid Transition
• 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
• Dual Dirac liquid on the surface of the electron topological insulator
• Electron-Phonon Coupling in High-Temperature Cuprate Superconductors Determined from Electron Relaxation Rates
• Multiple Bosonic Mode Coupling in Electron Self-Energy of (La_2-xSr_x)CuO_4
• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Rapid change of superconductivity and electron-phonon coupling through 19% doping in Bi2212
• Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model
• Deconfined quantum criticality and Neel order via dimer disorder
• 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
• Majorana-time-reversal symmetries: a fundamental principle for sign-problem-free quantum Monte Carlo simulations
• Breakdown of Migdal-Eliashberg theory; a determinant quantum Monte Carlo study
• Polaronic behavior of undoped high-Tc cuprates
• Two-dimensional Hubbard-Holstein bipolaron
• Majorana Positivity and the Fermion sign problem of Quantum Monte Carlo Simulations
• Nodeless pairing in superconducting copper-oxide monolayer films on Bi2Sr2CaCu2O8+δ
• Néel to valence-bond solid transition on the honeycomb lattice: Evidence for deconfined criticality
• Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
• A tensor product state approach to spin-1/2 square $J_1$-$J_2$ antiferromagnetic Heisenberg model: evidence for deconfined quantum criticality
• What makes the Tc of monolayer FeSe on SrTiO3 so high: a sign-problem-free quantum Monte Carlo study
• A theory of deconfined pseudo-criticality
• Superlight small bipolarons in the presence of strong Coulomb repulsion
• Superconductivity from the Condensation of Topological Defects in a Quantum Spin-Hall Insulator
• Light Bipolarons Stabilized by Peierls Electron-Phonon Coupling
• Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model
• Note on Wess-Zumino-Witten models and quasiuniversality in 2+1 dimensions
• Dynamic interfacial polaron enhanced superconductivity of FeSe/SrTiO3
• Split orthogonal group: A guiding principle for sign-problem-free fermionic simulations
• Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons
• Enhanced thermal Hall effect in nearly ferroelectric insulators
• Revisiting the Hybrid Quantum Monte Carlo Method for Hubbard and Electron-Phonon Models
• Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
• Charge Order in the Holstein Model on a Honeycomb Lattice
• Phonon dispersion and the competition between pairing and charge order
• Competition among Superconducting, Antiferromagnetic, and Charge Orders with Intervention by Phase Separation in the 2D Holstein-Hubbard Model
• Emmy Noether looks at the deconfined quantum critical point
• Phonons and d-wave pairing in the two-dimensional Hubbard model
• Strong Coupling Limit of the Holstein-Hubbard Model
• The ground state of a general electron-phonon Hamiltonian is a spin singlet
• Quantum Transition between an Antiferromagnetic Mott Insulator and $d_{x^2-y^2}$ Superconductor in Two Dimensions
• Charge and Spin Structures of a $d_{x^2-y^2}$ Superconductor in the Proximity of an Antiferromagnetic Mott Insulator
• Langevin Simulations of a Long Range Electron Phonon Model
• Zero-Temperature Phases of the 2D Hubbard-Holstein Model: A Non-Gaussian Exact Diagonalization Study
• Strong coupling superconductivity in trilayer film LiB${}_2$C${}_2$
• Isotope Effect in the Superfluid Density of HTS Cuprates: Stripes, Pseudogap and Impurities
• Pseudogap crossover in the electron-phonon system
• Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling
• Ab initio Study of Cross-Interface Electron-Phonon Couplings in FeSe Thin Films on SrTiO${}_3$ and BaTiO${}_3$
• Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
• Quantum Phase Transitions around the Staggered Valence Bond Solid
• Quantum Monte Carlo study of lattice polarons in the two-dimensional multi-orbital Su-Schrieffer-Heeger model
• Peierls Distortion in Two-Dimensional Tight-Binding Model
• Dominant charge-density-wave correlations in the Holstein model on the half-filled square lattice
• Dipolar phonons and electronic screening in monolayer FeSe on SrTiO${}_3$
• Example of a first-order Néel to Valence-Bond-Solid transition in two-dimensions
• Electron-Phonon Interactions in Flat Band Systems
• Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension
• Langevin Simulations of the Half-Filled Cubic Holstein Model
• Persistent low-energy phonon broadening near the charge order $q$-vector in bilayer cuprate Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method
• Magnetism and charge order in the honeycomb lattice
• Constrained-Path Auxiliary-Field Quantum Monte Carlo for Coupled Electrons and Phonons
• Phonon enhancement of electronic orders and negative isotope effect in the Hubbard-Holstein model on a square lattice
• Superconductivity in the presence of strong electron-phonon interactions and frustrated charge order
• Giant Phonon Anomaly associated with Superconducting Fluctuations in the Pseudogap Phase of Cuprates
• Electronic and phononic properties of a two dimensional electron gas coupled to dipolar phonons via small-momentum-transfer scattering
• Competing Orders and Unconventional Criticality in the Su-Schrieffer-Heeger Model
• Valence-Bond Order in a Honeycomb Antiferromagnet Coupled to Quantum Phonons
• Nematic Antiferromagnetism and Deconfined Criticality from the Interplay between Electron-Phonon and Electron-Electron Interactions

Cited by in corpus (38)

• Bipolaronic high-temperature superconductivity
• 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