TY - JOUR
T1 - Submatrix updates for the continuous-time auxiliary-field algorithm
AU - Gull, Emanuel
AU - Staar, Peter
AU - Fuchs, Sebastian
AU - Nukala, Phani
AU - Summers, Michael S.
AU - Pruschke, Thomas
AU - Schulthess, Thomas C.
AU - Maier, Thomas
PY - 2011/2/15
Y1 - 2011/2/15
N2 - We present a submatrix update algorithm for the continuous-time auxiliary field method that allows the simulation of large lattice and impurity problems. The algorithm takes optimal advantage of modern CPU architectures by consistently using matrix instead of vector operations, resulting in a speedup of a factor of ≈8 and thereby allowing access to larger systems and lower temperature. We illustrate the power of our algorithm at the example of a cluster dynamical mean field simulation of the Néel transition in the three-dimensional Hubbard model, where we show momentum dependent self-energies for clusters with up to 100 sites.
AB - We present a submatrix update algorithm for the continuous-time auxiliary field method that allows the simulation of large lattice and impurity problems. The algorithm takes optimal advantage of modern CPU architectures by consistently using matrix instead of vector operations, resulting in a speedup of a factor of ≈8 and thereby allowing access to larger systems and lower temperature. We illustrate the power of our algorithm at the example of a cluster dynamical mean field simulation of the Néel transition in the three-dimensional Hubbard model, where we show momentum dependent self-energies for clusters with up to 100 sites.
UR - http://www.scopus.com/inward/record.url?scp=79961044218&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.83.075122
DO - 10.1103/PhysRevB.83.075122
M3 - Article
AN - SCOPUS:79961044218
SN - 1098-0121
VL - 83
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 7
M1 - 075122
ER -