Article,
Phenomenological theory of the pseudogap state
Phys. Rev. B, 73 (17): 174501 (May 2006)
DOI: 10.1103/PhysRevB.73.174501
Abstract
An ansatz is proposed for the coherent part of the single particle
Green’s function in a doped resonant valence bond (RVB) state by
analogy with the form derived by Konik and co-workers for a doped
spin liquid formed by an array of two-leg Hubbard ladders near half-filling.
The parameters of the RVB state are taken from the renormalized mean
field theory of Zhang and co-workers for underdoped cuprates. The
ansatz shows good agreement with recent angle resolved photoemission
on underdoped cuprates and resolves an apparent disagreement with
the Luttinger sum rule. The transition in the normal state from a
doped RVB spin liquid to a standard Landau Fermi liquid, that occurs
in the renormalized mean field theory, appears as a quantum critical
point characterized by a change in the analytic form of the Green’s
function. A d-wave superconducting dome surrounding this quantum
critical point is introduced phenomenologically. Results are also
presented for the Drude weight and tunneling density of states as
functions of the hole density.
