Variational approach to transport in quantum dots

Abstract

We have derived a variational principle that defines the nonequilibrium steady-state transport across a correlated impurity mimicking, e.g., a quantum dot coupled to biased leads. This variational principle has been specialized to a Gutzwiller's variational space, and applied to the study of the simple single-orbital Anderson impurity model at half filling, finding a good qualitative accord with the observed behavior in quantum dots for the expected regime of values of the bias. Beyond the purely theoretical interest in the formal definition of a variational principle in a nonequilibrium problem, the particular methods proposed have the important advantage to be simple and flexible enough to deal with more complicated systems and variational spaces.

15 pages, 4 figures

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Cited by in corpus (9)

• Quantum Quenches in the Hubbard Model: Time Dependent Mean Field Theory and The Role of Quantum Fluctuations
• Efficient implementation of the Gutzwiller variational method
• Emergent Bloch Excitations in Mott Matter
• Electronic transport and dynamics in correlated heterostructures
• Time-Dependent and Steady-State Gutzwiller approach for nonequilibrium transport in nanostructures
• Nonequilibrium thermodynamics of interacting tunneling transport: variational grand potential, density-functional formulation, and nature of steady-state forces
• Transport through a magnetic impurity: a slave-spin approach
• Gutzwiller Renormalization Group
• Real-time dynamics induced by quenches across the quantum critical points in gapless Fermi systems with a magnetic impurity