Bipolarons from long range interactions: Singlet and triplet pairs in the screened Hubbard-Froehlich model on the chain

Abstract

We present details of a continuous-time quantum Monte-Carlo algorithm for the screened Hubbard-Froehlich bipolaron. We simulate the bipolaron in one dimension with arbitrary interaction range in the presence of Coulomb repulsion, computing the effective mass, binding energy, total number of phonons associated with the bipolaron, mass isotope exponent and bipolaron radius in a comprehensive survey of the parameter space. We discuss the role of the range of the electron-phonon interaction, demonstrating the evolution from Holstein to Froehlich bipolarons and we compare the properties of bipolarons with singlet and triplet pairing. Finally, we present simulations of the bipolaron dispersion. The band width of the Froehlich bipolaron is found to be broad, and the decrease in bandwidth as the two polarons bind into a bipolaron is found to be far less rapid than in the case of the Holstein interaction. The properties of bipolarons formed from long range electron-phonon interactions, such as light strongly bound bipolarons and intersite pairing when Coulomb repulsion is large, are found to be robust against screening, with qualitative differences between Holstein and screened Froehlich bipolarons found even for interactions screened within a single lattice site.

20 pages, 17 figures

References in corpus (13)

• Polarons and bipolarons in strongly interacting electron-phonon systems
• Continuous-Time Quantum Monte Carlo Algorithm for the Lattice Polaron
• Bipolarons in the Extended Holstein Hubbard Model
• Froehlich-Coulomb model of high-temperature superconductivity and charge segregation in the cuprates
• Superlight small bipolarons in the presence of strong Coulomb repulsion
• Optimized phonon approach for the diagonalization of electron-phonon problems
• Effect of electron-phonon interaction range on lattice polaron dynamics: a continuous-time quantum Monte Carlo study
• Numerical study of the $E\otimes e$ Jahn-Teller polaron and bipolaron
• Temperature- and quantum phonon effects on Holstein-Hubbard bipolarons
• Superlight small bipolarons
• Single-particle spectral function of the Holstein-Hubbard bipolaron
• Enhanced stability of bound pairs at nonzero lattice momenta
• Polaron and bipolaron dispersion curves in one dimension for intermediate coupling

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• Phonon-mediated repulsion, sharp transitions and (quasi)self-trapping in the extended Peierls-Hubbard model
• Light and stable triplet bipolarons on square and triangular lattices
• "Quantum bipolaron" superconductivity from quadratic electron-phonon coupling
• Mobile small bipolarons on a three-dimensional cubic lattice
• Polarons in highly doped atomically thin graphitic materials
• Cold Rydberg atoms for quantum simulation of exotic condensed matter interactions
• An approach for studying the influence of uniaxial strain (pressure) on the temperature of the Bose-Einstein condensation of intersite bipolarons: possible implementation for RBa${}_2$Cu${}_3$O${}_{7-\delta }$ cuprates
• Effect of screening of the electron-phonon interaction on mass renormalization and optical conductivity of the Extended Holstein model polarons
• Optimal interlayer hopping and high temperature Bose-Einstein condensation of local pairs in quasi 2D superconductors
• Mass of a lattice polaron from extended Holstein model using Yukawa potential
• Effect of screening of the electron-phonon interaction on the temperature of Bose-Einstein condensation of intersite bipolarons
• Modification of a charged-Bose-gas model for observed room-temperature superconductivity in narrow channels through films of oxidised atactic polypropylene