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Physica C Superconductivity

Competition and coexistence of antiferromagnetism and superconductivity in the Hubbard model

Kenji Kobayashi, Tsutomu Watanabe, Hisatoshi Yokoyama

Published Oct 28, 2009• 3 citations
Publisher
DOI
10.1016/j.physc.2009.10.058

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In view of cuprate superconductors, interplay between antiferromagnetism (AF) and superconductivity (SC) is studied for the square-lattice Hubbard model with a diagonal transfer t , using a variational Monte Carlo method.In the trial wave function, essential factors of Mott physics and band renormalization are introduced.It is found that whether AF and SC become coexistent or competitive is sensitive to the values of model parameters, U/t, t /t, and δ (doping rate).Furthermore, in case AF gap is finite, namely, in pure AF or coexisting cases, the state is unstable against phase separation.
Antiferromagnetism and ddd-wave superconductivity are the most important competing ground-state phases of cuprate superconductors. Using cellular dynamical mean-field theory for the Hubbard model, we revisit the question of the coexistence and competition of these phases in the one-band Hubbard model with realistic band parameters and interaction strengths. With an exact diagonalization solver, we improve on previous works with a more complete bath parametrization which is carefully chosen to grant the maximal possible freedom to the hybridization function for a given number of bath orbitals. Compared with previous incomplete parametrizations, this general bath parametrization shows that the range of microscopic coexistence of superconductivity and antiferromagnetism is reduced for band parameters for ${\mathrm{Nd}}_{2\ensuremath{-}x}{\mathrm{Ce}}_{x}{\mathrm{CuO}}_{4}$ (NCCO) and confined to electron doping with parameters relevant for ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{7\ensuremath{-}x}$ (YBCO).