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20th International Symposium on High-Performance Computing in an Advanced Collaborative Environment (HPCS'06)
Applications of Cluster Perturbation Theory Using Quantum Monte Carlo Data
St. John's, Newfoundland
May 14-May 17
ISBN: 0-7695-2582-2
Fei Lin, McMaster University, Canada
Erik S. S?rensen, McMaster University, Canada
Catherine Kallin, McMaster University, Canada
A. John Berlinsky, McMaster University, Canada
We study cluster perturbation theory [Phys. Rev. Lett. 84, 522 (2000)] when auxiliary field quantum Monte Carlo method is used for solving the cluster hamiltonian. As a case study, we calculate the spectral functions of the Hubbard model in one and two dimensions and compare our results for the spectral functions to results obtained using exact diagonalization to solve the cluster hamiltonian. The main advantage of using quantum Monte Carlo results as a starting point is that the initial cluster size can be taken to be considerably larger and hence potentially capture more of the relevant physics. The drawback is that quantum Monte Carlo methods yield results at imaginary times with stochastic errors.
Citation:
Fei Lin, Erik S. S?rensen, Catherine Kallin, A. John Berlinsky, "Applications of Cluster Perturbation Theory Using Quantum Monte Carlo Data," hpcs, pp.27, 20th International Symposium on High-Performance Computing in an Advanced Collaborative Environment (HPCS'06), 2006
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