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Hager, G.; Jeckelmann, E.; Fehske, H.; Wellein, G.

Parallelization strategies for density matrix renormalization group algorithms on shared-memory systems. (English) Zbl 1045.81575

J. Comput. Phys. 194, No. 2, 795-808 (2004).
Summary: Shared-memory (SMP) parallelization strategies for density matrix renormalization group (DMRG) algorithms enable the treatment of complex systems in solid state physics. We present two different approaches by which parallelization of the standard DMRG algorithm can be accomplished in an efficient way. The methods are illustrated with DMRG calculations of the two-dimensional Hubbard model and the one-dimensional Holstein-Hubbard model on contemporary SMP architectures. The parallelized code shows good scalability up to at least eight processors and allows us to solve problems which exceed the capability of sequential DMRG calculations.

Cited in 4 Documents

MSC:

81V70 Many-body theory; quantum Hall effect
81-04 Software, source code, etc. for problems pertaining to quantum theory
82D20 Statistical mechanics of solids

Keywords:

complex systems; solid state physics; DMRG algorithm; two-dimensional Hubbard model; one-dimensional Holstein-Hubbard model; SMP architectures
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References:

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