Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-01-08
Journal of Physics and Chemistry of Solids Vol. 69 (2008) 3304-3306
Physics
Condensed Matter
Strongly Correlated Electrons
Proceedings of SNS 2007
Scientific paper
We study the Coulomb-Fr\"ohlich model on a triangular lattice, looking in particular at states with angular momentum. We examine a simplified model of crab bipolarons with angular momentum by projecting onto the low energy subspace of the Coulomb-Fr\"ohlich model with large phonon frequency. Such a projection is consistent with large long-range electron-phonon coupling and large repulsive Hubbard $U$. Significant differences are found between the band structure of singlet and triplet states: The triplet state (which has a flat band) is found to be significantly heavier than the singlet state (which has mass similar to the polaron). We test whether the heavier triplet states persist to lower electron-phonon coupling using continuous time quantum Monte Carlo (QMC) simulation. The triplet state is both heavier and larger, demonstrating that the heavier mass is due to quantum interference effects on the motion. We also find that retardation effects reduce the differences between singlet and triplet states, since they reintroduce second order terms in the hopping into the inverse effective mass.
Alexandrov Alexandre S.
Hague J. P.
Kornilovitch Pavel E.
Samson J. H.
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