Title
The truncated polynomial expansion Monte Carlo method for fermion systems coupled to classical fields: a model independent implementation
Abstract
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
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. Alvarez1103.14
C. Şen210.63
N. Furukawa310.63
Y. Motome410.63
E. Dagotto510.63