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Topology of Strongly Correlated Systems

ANTIFERROMAGNETISM AND DX2-Y2-WAVE PAIRING IN THE COLORED HUBBARD MODEL

TOBIAS BAIER, Eike Bick

Published Aug 1, 2001• 0 citations
Publisher
DOI
10.1142/9789812811455_0018

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By subdividing a 2d square lattice into plaquettes containing 4 lattice sites each, the Hubbard Hamiltonian is reformulated in terms of different "colored" fermion species. This makes it possible to describe e.g. antiferromagnetic order or d-wave superconductivity in terms of expectation values of composite scalar fields. A suitable mean field approximation indeed reproduces qualitatively the measured phase diagram and shows a competition between phases with antiferromagnetic ordering and dx2-y2-superconductivity at low temperatures.
The Hubbard model is commonly considered to be relevant for unconventional superconductors like cuprates and ruthenates. For a more thorough insight into the physics of this model, we use a new projective quantum Monte Carlo (PQMC) algorithm within the framework of the dynamical cluster approximation (DCA). Employing this DCA(PQMC) approach, we calculate static pairing susceptibilities for various symmetries and study the crossover from dx2−y2‐wave to px+y‐wave pairing as a function of doping.