Key Papers (original References or good summaries):
 
 

Density Functional Theory

 
P. Hohenberg and W. Kohn, Phys. Rev. 136, B854 (1964).
W. Kohn and L. J. Sham, Phys. Rev. 110, A1133 (1965).
R. O. Jones and O.Gunnarsson, Rev. Mod. Phys. 61, 689 (1989).

Methods for Applications of Density Functional Theory

 
Andersen
Williams
H. Wendel and R. M. Martin, Phys. Rev. B19, 5251 (1979)
J. Ihm, A. Zunger, and M. L. Cohen, J. Phys. C 12, 4409 (1979).
O. H. Nielsen and R. M. Martin, Phys. Rev. B32, 3780 & 3792 (1985).
R. Car and M. Parrinello
W. E. Pickett
Payne
Kubler
Goedecker, RMP preprint

Benchmark results using Density Functional Theory:

NIST site for atomic energies
Williams
Galli, carbon
Grumbach
Needs, Scheffler groups work on Si
W. E. Pickett
Payne
Kubler

Pseudopotentials:

 
D. R. Hamann, M. Schluter, and C. Chiang, Phys. Rev. Letters 43, 1494 (1979).
Troulier and Martins paper
E. L. Shirley, Thesis, U of Illinois, 1991, and Phys Rev.

Density Functionals:

Perdew, … Comparision Shopping
Others

Non-local Density Functionals and Optimized Effective Potentials:

Staedele

Quantum Monte Carlo:

D. M. Ceperley & M. H. Kalos
D. M. Ceperley and B. Alder, Phys. Rev. Letters 45, 566 (1980).
S. Fahy and S. G. Louie, Phys. Rev.
Hood – xc hole
Scallapino?

GW approximation:

Hedin, L. & Lundquist, S., Solid State Physics, Vol. 23, p. 1.
M. S. Hybertsen and S. G. Louie, Phys. Rev. Lett. 55,1418 (1985); Phys. Rev. B34, 5390 (1986); Comments on Condensed Matter Physics,
R. W. Godby, M. Schluter, and L. J. Sham, Phys. Rev. Lett. 56, 2145 (1986); Phys. Rev. B37, 10159 (1988).
E. L. Shirley (see references under pseudopotentials)

Fermi Surface Sum Rules: Friedel Sum Rule and Luttinger "theorem":

J. M. Luttinger and J. C. Ward, Phys. Rev. 118, 1417 (1960).
J. M. Luttinger , Phys. Rev. 119, 1153 (1960).
R. M. Martin, Phys. Rev. Lett. 48, 362 (1982).

Anderson/Kondo problem; solution by 1/N expansion:

P. W. Anderson, Phys. Rev. 124, 41 (1961).
O. Gunnarsson and K. Schonhamer, Phys. Rev. B28, 4315 (1983).
Mahan, G., Many-Particle Physics, 2nd Ed., p. 57-59, 272, 977 ff.

Heavy Fermion Systems:

P. Lee, et. al., Comments on Condensed Matter Phys. 12, 99-161 (1986).

Large Dimension Expansions
Vollhart, Georges
Mott Metal-Insulator Transitions, and other strongly correlated systems
Imada, Rev. Mod. Phys.
Hi-Tc Superconductors
Pickett – bands
Dagotto??