Momentum dependence of pseudo-gap and superconducting gap in variation theory

Physics

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Scientific paper

To consider the origin of a pseudo-gap and a superconducting gap found in the high-Tc cuprates, the momentum dependence of the singlet gap parameter and the superconductivity correlation function are evaluated in the t-J model by using an optimization variational Monte Carlo method. In the underdoped regime, the singlet gap is significantly modified from the simple dx2- y2-wave gap (~cos kx-cos ky) by the contributions of long-range pairings. Its angular dependence along the Fermi surface is qualitatively consistent with those experimentally observed in both hole- and electron-doped cuprates. This singlet gap will correspond to the pseudo-gap and its doping dependence agrees with that of the pseudo-gap. On the other hand, the superconductivity correlation function is dominant in the nearest-neighbor pairing and its Fourier transform preserves the original simple dx2- y2-wave form. We argue that this superconductivity correlation function is closely related to the coherent superconductivity gap appearing below T c in the 'Fermi arc' region. Its doping dependence is also consistent with the recent experimental observations.

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