Extended recursion in operator space (EROS), a new impurity solver for the single impurity Anderson model
- Los Alamos National Laboratory
We have developed a new efficient and accurate impurity solver for the single impurity Anderson model (SIAM), which is based on a non-perturbative recursion technique in a space of operators and involves expanding the self-energy as a continued fraction. The method has no special occupation number or temperature restrictions; the only approximation is the number of levels of the continued fraction retained in the expansion. We also show how this approach can be used as a new approach to Dynamical Mean Field Theory (DMTF) and illustrate this with the Hubbard model. The three lowest orders of recursion give the Hartree-Fock, Hubbard I, and Hubbard III approximations. A higher level of recursion is able to reproduce the expected 3-peak structure in the spectral function and Fermi liquid behavior.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 960959
- Report Number(s):
- LA-UR-08-06794; LA-UR-08-6794; PRLTAO; TRN: US1002678
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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