Classical mapping for Hubbard operators: application to the double-Anderson model

A classical Cartesian mapping for Hubbard operators is developed to describe the nonequilibrium transport of an open quantum system with many electrons. The mapping of the Hubbard operators representing the many-body Hamiltonian is derived by using analogies from classical mappings of boson creation...

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Bibliographic Details
Published in:The Journal of chemical physics 2014-05, Vol.140 (20), p.204106-204106
Main Authors: Li, Bin, Miller, William H, Levy, Tal J, Rabani, Eran
Format: Article
Language:English
Subjects:
ANNIHILATION OPERATORS
BOSONS
Closures
COUPLINGS
EIGENSTATES
ELECTRIC POTENTIAL
Electron states
ELECTRONS
EQUATIONS
GREEN FUNCTION
Green's functions
HAMILTONIANS
Mapping
NANOSCIENCE AND NANOTECHNOLOGY
Operators (mathematics)
PEAKS
Physics
QUANTUM DOTS
Quantum theory
Transport
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Summary:A classical Cartesian mapping for Hubbard operators is developed to describe the nonequilibrium transport of an open quantum system with many electrons. The mapping of the Hubbard operators representing the many-body Hamiltonian is derived by using analogies from classical mappings of boson creation and annihilation operators vis-à-vis a coherent state representation. The approach provides qualitative results for a double quantum dot array (double Anderson impurity model) coupled to fermionic leads for a range of bias voltages, Coulomb couplings, and hopping terms. While the width and height of the conduction peaks show deviations from the master equation approach considered to be accurate in the limit of weak system-leads couplings and high temperatures, the Hubbard mapping captures all transport channels involving transition between many electron states, some of which are not captured by approximate nonequilibrium Green function closures.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.4878736