We propose a multireference linearized coupled cluster theory using matrix product states (MPSs-LCC) which provides remarkably accurate ground-state energies, at a computational cost that has the same scaling as multireference configuration interaction singles and doubles, for a wide variety of electronic Hamiltonians. These range from first-row dimers at equilibrium and stretched geometries to highly multireference systems such as the chromium dimer and lattice models such as periodic two-dimensional 1-band and 3-band Hubbard models. The MPS-LCC theory shows a speed up of several orders of magnitude over the usual Density Matrix Renormalization Group (DMRG) algorithm while delivering energies in excellent agreement with converged DMRG calculations. Also, in all the benchmark calculations presented here, MPS-LCC outperformed the commonly used multi-reference quantum chemistry methods in some cases giving energies in excess of an order of magnitude more accurate. As a size-extensive method that can treat large active spaces, MPS-LCC opens up the use of multireference quantum chemical techniques in strongly correlated ab initio Hamiltonians, including two- and three-dimensional solids.
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14 September 2015
Research Article|
August 24 2015
Multireference linearized coupled cluster theory for strongly correlated systems using matrix product states Available to Purchase
Sandeep Sharma;
Sandeep Sharma
a)
1
Max Planck Institute for Solid State Research
, Heisenbergstraße 1, 70569 Stuttgart, Germany
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Sandeep Sharma
1,a)
Ali Alavi
1,2,b)
1
Max Planck Institute for Solid State Research
, Heisenbergstraße 1, 70569 Stuttgart, Germany
2Department of Chemistry,
University of Cambridge
, Lensfield Road, Cambridge CB2 1EW, United Kingdom
a)
Electronic address: [email protected]
b)
Electronic address: [email protected]
J. Chem. Phys. 143, 102815 (2015)
Article history
Received:
May 16 2015
Accepted:
July 29 2015
Citation
Sandeep Sharma, Ali Alavi; Multireference linearized coupled cluster theory for strongly correlated systems using matrix product states. J. Chem. Phys. 14 September 2015; 143 (10): 102815. https://doi.org/10.1063/1.4928643
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