Title | ||
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The truncated polynomial expansion Monte Carlo method for fermion systems coupled to classical fields: a model independent implementation |
Abstract | ||
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A software library is presented for the polynomial expansion method (PEM) of the density of states (DOS) introduced in [Y. Motome, N. Furukawa, J. Phys. Soc. Japan 68 (1999) 3853; N. Furukawa, Y. Motome, H. Nakata, Comput. Phys. Comm. 142 (2001) 410]. The library provides all necessary functions for the use of the PEM and its truncated version (TPEM) in a model independent way. The PEM/TPEM replaces the exact diagonalization of the one electron sector in models for fermions coupled to classical fields. The computational cost of the algorithm is O(N)—with N the number of lattice sites—for the TPEM [N. Furukawa, Y. Motome, J. Phys. Soc. Japan 73 (2004) 1482] which should be contrasted with the computational cost of the diagonalization technique that scales as O(N4). The method is applied for the first time to a double exchange model with finite Hund coupling and also to diluted spin–fermion models. |
Year | DOI | Venue |
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2005 | 10.1016/j.cpc.2005.02.001 | Computer Physics Communications |
Keywords | Field | DocType |
75.10.-b,71.10.Fd,02.70.Lq | Applied mathematics,Monte Carlo method,Density of states,Coupling,Polynomial,Lattice (order),Quantum mechanics,Mathematical analysis,Fermion,Polynomial expansion,Electron,Physics | Journal |
Volume | Issue | ISSN |
168 | 1 | 0010-4655 |
Citations | PageRank | References |
1 | 0.63 | 0 |
Authors | ||
5 |
Name | Order | Citations | PageRank |
---|---|---|---|
G. Alvarez | 1 | 10 | 3.14 |
C. Şen | 2 | 1 | 0.63 |
N. Furukawa | 3 | 1 | 0.63 |
Y. Motome | 4 | 1 | 0.63 |
E. Dagotto | 5 | 1 | 0.63 |