Pseudogap crossover in the electron-phonon system

Abstract

Thermodynamic properties of the square-lattice Holstein model of the electron-phonon problem with phonon frequencies small compared to the bare Fermi energy are obtained using Monte Carlo methods, a strong-coupling (bipolaronic) expansion, and a weak coupling Migdal-Eliashberg approach. Already at elevated temperatures where the charge-density wave (CDW) and superconducting (SC) correlations are very short-range, a crossover occurs as a function of increasing electron-phonon coupling, ${\lambda }_0$, from a normal metallic regime to a pseudogap regime. At sufficiently low $T$, a SC phase is found for small ${\lambda }_0$ and a commensurate insulating CDW phase for large ${\lambda }_0$.

arXiv comment5 pages, 5 figures

References in corpus (8)

• On the Fermi Liquid to Polaron Crossover I: General Results
• Breakdown of Migdal-Eliashberg theory; a determinant quantum Monte Carlo study
• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the half- filled Holstein model
• Gap formation and soft phonon mode in the Holstein model
• Holstein model in infinite dimensions at half-filling
• Breakdown of the Migdal-Eliashberg theory in the strong-coupling adiabatic regime
• Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid
• A bound on superconducting $T_c$'s

Cited by in corpus (29)

• Eliashberg theory of phonon-mediated superconductivity -- when it is valid and how it breaks down
• Superconductivity and charge density wave order in the 2D Holstein model
• Antiferromagnetism induced by electron-phonon-coupling
• Superconductivity, Charge-Density-Waves, and Bipolarons in the Holstein model
• Breakdown of the Migdal-Eliashberg theory and a theory of lattice-fermionic superfluidity
• Fast and scalable quantum Monte Carlo simulations of electron-phonon models
• Bipolaron liquids at strong Peierls electron-phonon couplings
• A variational approach for many-body systems at finite temperature
• Superconductivity in the presence of strong electron-phonon interactions and frustrated charge order
• Migdal-Eliashberg theory as a classical spin chain
• Electronic and phononic properties of a two dimensional electron gas coupled to dipolar phonons via small-momentum-transfer scattering
• A stability bound on the $T$-linear resistivity of conventional metals
• Machine learning for phase ordering dynamics of charge density waves
• Mitigating the fermion sign problem by automatic differentiation
• "Quantum bipolaron" superconductivity from quadratic electron-phonon coupling
• Limits of Eliashberg Theory and Bounds for Superconducting Transition Temperature
• Machine learning the relationship between Debye temperature and superconducting transition temperature
• Electron-phonon coupling and superconductivity in the doped topological-crystalline insulator (Pb${}_{0.5}$Sn${}_{0.5}$)${}_{1-x}$In${}_x$Te
• Spectral properties and enhanced superconductivity in renormalized Migdal-Eliashberg theory
• Semi-classical theory of bipolaronic superconductivity in a bond-modulated electron-phonon model
• Instability of metals with respect to strong electron-phonon interaction
• Kinetics of orbital ordering in cooperative Jahn-Teller models: Machine-learning enabled large-scale simulations
• The significance of "stripes" in the physics of the cuprates, the Hubbard model, and other highly correlated electronic systems
• High-temperature superconductivity induced by the Su-Schrieffer-Heeger electron-phonon coupling
• Collective modes in the charge-density wave state of K${}_{0.3}$MoO${}_3$: The role of long-range Coulomb interactions revisited
• Phonon renormalization and Pomeranchuk instability in the Holstein model
• Spectral signatures of residual electron pairing in the extended-Hubbard-Su-Schrieffer-Heeger model
• Evolution of the pseudogap and excess conductivity of YBa${}_2$Cu${}_3$O${}_{7-\delta }$ single crystals in the course of long-term aging
• Hydrostatic pressure effect on the pseudogap in Y0.77Pr0.23Ba2Cu3O7-δsingle crystals