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LA-SiGMA Software Distribution

Accelerated Krylov Solver for Multiorbital Kanamori Hamiltonian


This code is a Krylov Solver using the Arnoldi iteration for Kanamori Hamiltonian. it is used for calculating the exponential of matrices in a Continuous Time Quantum Monte Carlo (CTQMC) solver on systems equipped with an intel Xeon Phi. This solver calculates the following quantity:
H is a sparse matrix that represents the Kanamori Hamiltonian in the CTQMC solver. t is a scalar. v is a vector.


The code was developed and tested on a computer equipped with the following software packages: Red Hat Enterprise Linux Version 6.6, GCC 4.4.7, intel ICC composer_xe_2013_sp1.1.106, and intel MKL composer_xe_2013_sp1.2.144.


The code provided here is a highly tuned implementation of the Krylov solver designed for a very specific hamiltonian matrix. This tool is comprised of two different codes, an initialization code which is executed on the CPU, and a Xeon Phi native library which is integrated in the main CTQMC code. This package also has a simple test using provided sample inputs (hamiltonians of 5 and 6 orbitals)


This code was developed by Roozbeh Karimi, Sheng Feng, Jian Tao, Ka-Ming Tam, David Koppelman, Juana Moreno, and Mark Jarrell. This work was supported in part by the National Science Foundation under the NSF EPSCoR Cooperative Agreement No. EPS-1003897 with additional support from the Louisiana Board of Regents.

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