We construct the low energy theory of a doped Mott insulator, such as
the high-temperature superconductors, by explicitly integrating over the
degrees of freedom far away from the chemical potential. For either hole or electron doping, a charge 2e bosonic field emerges at low energy. The charge 2e boson mediates dynamical spectral weight transfer across the Mott gap and creates a new charge e excitation by binding a hole. The result is a bifurcation of the electron dispersion below the chemical potential as observed recently in angle-resolved photoemission on Pb-doped
Bi 2 Sr 2 CaCu 2 O 8+\delta (Pb2212). In addition, we show that the 1) mid-infrared band in the optical conductivity, 2) the
T 2 contribution to the thermal conductivity, 3) the pseudogap, 4)insulating behaviour away from half-filling, 5) the high and
low-energy kinks in the electron dispersion and 6) T-linear resistivity all derive from the charge 2e boson.
1.) R. G. Leigh, P. Phillips, and T. -P. Choy,
Phys. Rev. Lett. vol. 99, 46404 (2007).
2.) T. -P. Choy, R. G. Leigh, P. Phillips, and P. D. Powell, PRB, in
press (arXiv:0707.1554); arXiv: ibid, 0712.2841.