Kinetic energy driven superconductivity and pseugogap phase in weakly doped antiferromagnets

Abstract

We derive an effective Hamiltonian for spin polarons forming in weakly doped antiferromagnets and demonstrate that the system becomes superconducting at finite doping. We argue that the driving mechanism which gives rise to superconductivity is lowering of the kinetic energy by formation of mobile antiferromagnetic spin bipolarons. That source of attraction between holes is by definition effective if the antiferromagnetic correlation length is longer than the radius of forming polarons. Notwithstanding that the attraction is strongest in the undoped system with long range order, the superconducting order parameter vanishes when the doping parameter decreases which should be attributed to emptying the spin polaron band and approaching the Mott insulator phase. Since the hypothetical normal phase of low density gas of fermions is unstable against formation of bound hole pairs the intensity of low energy excitations is suppressed and the pseudogap forms in the underdoped region.

14 pages, 4 figures

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• Electromotive forces and the Meissner effect puzzle
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• Pseudogap Phase: Exchange Energy Driven vs. Kinetic Energy Driven
• Gain of the kinetic energy of bipolarons in the t-J-Holstein model based on electron-phonon coupling
• On kinetic energy stabilized superconductivity in cuprates
• New results for the t-J model in ladders: Changes in the spin liquid state with applied magnetic field. Implications for the cuprates
• Enhancement of superconductivity due to kinetic-energy effect in the strongly correlated phase of the two-dimensional Hubbard model
• Occurrence of Fermi Pockets without Pseudogap Hypothesis and Clarification of the Energy Distribution Curves of Angle-Resolved Photoemission Spectroscopy in Underdoped Cuprate Superconductors
• Ferromagnetic diagonal stripe states in the two-dimensional Hubbard model with $U\lesssim \infty$
• Superconductivity and superconducting order parameter phase fluctuations in a weakly doped antiferromagnet
• Superconductivity and inhomogeneous charge-ordered state in the two-Dimensional Hubbard model -- Off-Diagonal Wave Function Monte Carlo Studies of Hubbard Model IV