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Phonon Dispersion and the Competition between Pairing and Charge Order
N C Costa1,2, T Blommel2,3, W-T Chiu2
1Instituto de Física, Universidade Federal do Rio de Janeiro, Cx.P. 68.528, 21941-972 Rio de Janeiro RJ, Brazil.
Physical Review Letters
|May 19, 2018
Summary
This study explores how phonon dispersion affects superconductivity and charge-density waves in fermion-phonon systems. Quantum Monte Carlo simulations reveal competition between charge patterns and conditions for superconductivity.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Theory
Background:
- The Holstein model explains fermion-phonon interactions, leading to polaron/bipolaron formation in dilute systems.
- At higher densities, phonons mediate superconducting (SC) and charge-density wave (CDW) phases.
Purpose of the Study:
- Investigate the impact of phonon dispersion on SC and CDW order in the Holstein model.
- Quantify effects of phonon bandwidth and curvature on CDW critical temperature (Tcdw).
Main Methods:
- Utilized Quantum Monte Carlo (QMC) simulations.
- Studied general phonon spectra beyond simple local modes.
Main Results:
- Quantified the influence of finite phonon bandwidth and curvature on Tcdw.
- Discovered competition between charge patterns at q=(π,π) and q=(0,π).
- Demonstrated SC order at half filling when Tcdw is suppressed by nonzero bandwidth.
Conclusions:
- Phonon dispersion significantly impacts CDW and SC phases.
- Fermi surface nesting relates to charge order wave vectors.
- Conditions exist for SC order even with competing CDW phases.
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