Bipolaron liquids at strong Peierls electron-phonon couplings

Abstract

We use the Density Matrix Renormalization Group method to study a one-dimensional chain with Peierls electron-phonon coupling, which describes the modulation of the electron hopping by lattice distortions. We demonstrate that this system is stable against phase separation in the dilute density limit. We only find phase separation numerically for large couplings for which the linear approximation for the electron-phonon coupling becomes invalid; this behavior can be stabilized in a narrow sliver of the physical parameter space if the dispersion of the phonons is carefully tuned. These results indicate that in the dilute electron density limit, Peierls bipolaron liquids are generically stable, unlike in other models of electron-phonon coupling. We show that this behavior extends to finite carrier concentrations of up to quarter filling. This stability of low-density, light-mass bipolaron liquids in the Peierls model opens a path to high-$T_c$ superconductivity based on a bipolaronic mechanism, in higher dimensions.

arXiv comment4 pages main text + 5 pages supplementary materials, 4 figures main text + 6 figures supplementary materials

References in corpus (30)

• Polaron Problem by Diagrammatic Quantum Monte Carlo
• Density matrix renormalization group study of the polaron problem in the Holstein model
• On the Fermi Liquid to Polaron Crossover I: General Results
• Continuous-Time Quantum Monte Carlo Algorithm for the Lattice Polaron
• Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model
• Eigenstate thermalization and quantum chaos in the Holstein polaron model
• Bipolarons in the Extended Holstein Hubbard Model
• Phase diagram of the one-dimensional Holstein model of spinless fermions
• Metal-insulator transition in the one-dimensional Holstein model at half filling
• Phase diagram of a Heisenberg spin-Peierls model with quantum phonons
• Light Bipolarons Stabilized by Peierls Electron-Phonon Coupling
• Metallicity in the half-filled Holstein-Hubbard model
• Dynamical properties of the one-dimensional Holstein model
• Matrix-product-state method with a dynamical local basis optimization for bosonic systems out of equilibrium
• Multi-set matrix product state calculations reveal mobile Franck-Condon excitations under strong Holstein-type coupling
• Ground-State Phase Diagram of the 1D t-J model
• Pseudogap crossover in the electron-phonon system
• Charge-density-wave melting in the one-dimensional Holstein model
• Dynamical effects of phonons on soliton binding in spin-Peierls systems
• Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
• Quantum Monte Carlo study of lattice polarons in the two-dimensional multi-orbital Su-Schrieffer-Heeger model
• Peierls/Su-Schrieffer-Heeger polarons in two dimensions
• A density matrix renormalisation group algorithm for quantum lattice systems with a large number of states per site
• Bond-Peierls polaron: Moderate mass enhancement and current-carrying ground state
• Bi-Polaron and N-Polaron Binding Energies
• Interacting Holstein and extended-Holstein bipolarons
• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model
• Quantized Lattice Dynamic Effects on the Peierls transition of the Extended Hubbard Model
• Optical phonons for Peierls chains with long-range Coulomb interactions
• Cooling a polaronic liquid: Phase mixture and pseudogap-like spectra in superconducting $B{a}_{1-x}{K}_{x}Bi{O}_3$

Cited by in corpus (11)

• Bipolaronic high-temperature superconductivity
• Robustness of Antiferromagnetism in the Su-Schrieffer-Heeger-Hubbard model
• Time-dependent variational principle with controlled bond expansion for matrix product states
• Bipolaronic superconductivity out of a Coulomb gas
• Ground state and spectral properties of the doped one-dimensional optical Hubbard-Su-Schrieffer-Heeger model
• Stable bipolarons in open quantum systems
• Semi-classical theory of bipolaronic superconductivity in a bond-modulated electron-phonon model
• 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
• Electron addition spectral functions of low-density polaron liquids
• Spectral signatures of residual electron pairing in the extended-Hubbard-Su-Schrieffer-Heeger model