Differences in the quasiparticle dynamics for one-band and three-band cuprate models

Abstract

We study the quasiparticles of the one-band $t$-$J$ and $t$-$t^{\prime }$-$t"$-$J$ models using a variational approximation that includes spin fluctuations in the vicinity of the hole. We explain why the spin fluctuations and the longer range hopping have complementary contributions to the quasiparticle dynamics, and thus why both are essential to obtain a dispersion in agreement with that measured experimentally. This is very different from the three-band Emery model in the strongly-correlated limit, where the same variational approximation shows that spin fluctuations have a minor effect on the quasiparticle dynamics. This difference proves that these one-band and three-band models describe qualitatively different quasiparticles, and therefore they they cannot both be suitable to describe the physics of underdoped cuprates.

14 pages, 7 figures

References in corpus (7)

• The dynamics of a doped hole in cuprates is not controlled by spin fluctuations
• Combined density-functional and dynamical cluster quantum Monte Carlo calculations for three-band Hubbard models for hole-doped cuprate superconductors
• Correlation Strength, Gaps and Particle-Hole Asymmetry in High-Tc Cuprates: a Dynamical Mean Field Study of the Three-Band Copper-Oxide Model
• Emery vs. Hubbard model for cuprate superconductors: a Composite Operator Method study
• Effect of orbital relaxation on the band structure of cuprate superconductors and implications for the superconductivity mechanism
• Magnon-mediated interactions between fermions depend strongly on the lattice structure
• The role of the lattice structure in determining the magnon-mediated interactions between charge carriers doped into a magnetically ordered background

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