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Isotope Effect in the Mott Transition; a Prediction on the Basis of Molecular All‐Quantum Simulations
Author(s) -
Böhm M.C.,
Schulte J.,
Ramírez R.,
Hernández E.
Publication year - 2000
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200006)219:2<313::aid-pssb313>3.0.co;2-6
Subject(s) - mott transition , path integral formulation , ab initio , hamiltonian (control theory) , quantum monte carlo , pairing , physics , kinetic isotope effect , quantum mechanics , feynman diagram , quantum , statistical physics , superconductivity , monte carlo method , hubbard model , deuterium , mathematics , mathematical optimization , statistics
We have linked an ab initio Hartree‐Fock Hamiltonian to the Feynman path integral quantum Monte Carlo formalism in order to derive electronic expectation values under consideration of nuclear degrees of freedom. This approach yields electronic expectation values which depend on the atomic masses. On the basis of combined path integral – ab initio calculations we predict an isotope effect in the correlation driven Mott transition. The nuclear degrees of freedom lead to an enhancement in the electronic correlation strength, an effect which supports the transition conditions. This enhancement is negatively correlated with the atomic masses. Implications of an isotope effect in the Mott transition for the explanation of the superconducting pairing are mentioned concisely.