Final Report on Contract N00014-91-J-1143 (University of California Irvine)
CALIFORNIA UNIV IRVINE
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Over the last two years, we have used several different numerical techniques to study a variety of intrinsically correlated electron systems. The three main types of numerical techniques we have used are 1 finite- temperature quantum Monte Carlo QMC 2 exact diagonalization and 3 numerical renormalization groups. We have made substantial progress both on developing and improving the numerical algorithms and in using these methods to study interesting systems. We have developed techniques for analytically continuing imaginary-time QMC data to obtain dynamical properties, and have used these techniques to study pseudogap and gap formation in the repulsive and attractive Hubbard models. We have developed a program to calculate two particle interaction vertices with full frequency and momentum dependence using QMC, and have studied possible magnetic and superconducting instabilities in the Hubbard model.
- Numerical Mathematics
- Nuclear Physics and Elementary Particle Physics