Extended Dissipaton Theory with Application to Adatom-Graphene Composite

Area of Science:

• Quantum mechanics
• Condensed matter physics
• Materials science

Background:

• Strongly correlated electronic systems often exhibit complex interactions with their environment.
• Existing theories struggle to accurately model both linear and quadratic environmental couplings.
• Understanding these interactions is crucial for mesoscopic nanodevices and superconductors.

Purpose of the Study:

• To present an extended dissipaton theory capable of handling complex environmental couplings.
• To develop exact, non-Markovian, and nonperturbative theoretical formalisms.
• To apply the theory to a relevant physical system and analyze its predictions.

Main Methods:

• Developed the dissipaton-equation-of-motion formalism.
• Formulated an equivalent dissipaton-embedded quantum master equation.
• Applied these methods to simulate spectral functions of an adatom on a graphene substrate.

Main Results:

• The extended dissipaton theory successfully models linear and quadratic environmental couplings.
• Simulations revealed intricate spectral peak behaviors for an adatom on graphene.
• Comparison with conventional metal environments highlighted unique graphene-substrate interactions.

Conclusions:

• The extended dissipaton theory provides an accurate and versatile tool for studying quantum systems with strong environmental interactions.
• The unique band structure of graphene significantly influences adatom spectral functions.
• This work opens avenues for investigating complex phenomena in nanodevices and superconductors.