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Dynamical downfolding for localized quantum states

Mariya Romanova, Guorong Weng, Arsineh Apelian, Vojtěch Vlček

2023npj Computational Materials18 citationsDOIOpen Access PDF

Abstract

Abstract We introduce an approach to treat localized correlated electronic states in the otherwise weakly correlated host medium. Here, the environment is dynamically downfolded on the correlated subspace. It is captured via renormalization of one and two quasiparticle interaction terms which are evaluated using many-body perturbation theory. We outline the strategy on how to take the dynamical effects into account by going beyond the static limit approximation. Further, we introduce an efficient stochastic implementation that enables treating the host environment with a large number of electrons at a minimal computational cost. For a small explicitly correlated subspace, the dynamical effects are critical. We demonstrate the methodology by reproducing optical excitations in the negatively charged NV center defect in diamond, that agree with experimental results.

Topics & Concepts

Subspace topologyQuasiparticlePhysicsRenormalizationStatistical physicsPerturbation theory (quantum mechanics)QuantumPerturbation (astronomy)Limit (mathematics)Quantum mechanicsMathematicsSuperconductivityMathematical analysisDiamond and Carbon-based Materials ResearchElectronic and Structural Properties of OxidesHigh-pressure geophysics and materials
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