Role of symmetry and dimension on pseudogap phenomena

Abstract

The attractive Hubbard model in d=2 is studied through Monte Carlo simulations at intermediate coupling. There is a crossover temperature $T_X$ where a pseudogap appears with concomitant precursors of Bogoliubov quasiparticles that are not local pairs. The pseudogap in $A(k,\omega )$ occurs in the renormalized classical regime when the correlation length is larger than the direction-dependent thermal de Broglie wave length, ${\xi }_{th}=\hslash v_F(k)/k_{B}T.$ The ratio $T_X/T_c$ for the pseudogap may be made arbitrarily large when the system is close to a point where the order parameter has SO(n) symmetry with n>2. This is relevant in the context of SO(5) theories of high $T_c$ but has more general applicability.

4 pages, LaTeX, 4 epsf figures included. Corrected to agree with published version. Main change, one new figure

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