Role of symmetry and dimension on pseudogap phenomena

Details Role of symmetry and dimension on pseudogap phenomena Role of symmetry and dimension on pseudogap phenomena

1999-04-29

arxiv.org/abs/cond-mat/9904436v2

Physical Review Letters, Vol. 83, p.4128 (1999)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevLett.83.4128

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, $\xi_{th}=\hbar v_{F}(k)/k_{B}T.$ 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.

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