2017/04/10 by Bijay Kumar Agarwalla, Dvira Segal
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Anderson impurity model #Consistency (knowledge bases) #Coupling (piping) #Exact solutions in general relativity #Limit (mathematics) #Master equation #Non-equilibrium thermodynamics #Quantum and electron transport phenomena #Relation (database) #Semiconductor Quantum Structures and Devices #Spurious relationship #cond-mat.mes-hall #physics.chem-ph
paper · pdf · doi:10.1063/1.4996562
published as JCP 147, 054104 (2017)
arxiv created 2017/04/10 · openalex created_date 2017/04/14 · openalex publication_date 2017/08/04 · arxiv updated 2017/12/25 · openalex updated_date 2026/08/05
We study the interacting, symmetrically coupled single impurity Anderson model. By employing the nonequilibrium Green's function formalism, we reach an exact relationship between the steady-state charge current flowing through the impurity (dot) and its occupation. We argue that the steady-state current-occupation relation can be used to assess the consistency of simulation techniques and identify spurious transport phenomena. We test this relation in two different model variants: First, we study the Anderson-Holstein model in the strong electron-vibration coupling limit using the polaronic quantum master equation method. We find that the current-occupation relation is violated numerically in standard calculations, with simulations bringing up incorrect transport effects. Using a numerical procedure, we resolve the problem efficiently. Second, we simulate the Anderson model with electron-electron interaction on the dot using a deterministic numerically exact time-evolution scheme. Here, we observe that the current-occupation relation is satisfied in the steady-state limit-even before results converge to the exact limit.