Correlated adatom trimer on a metal surface: a continuous-time quantum Monte Carlo study

Area of Science:

• Condensed Matter Physics
• Quantum Many-Body Systems
• Surface Science

Background:

• The Kondo effect describes the interaction between localized magnetic moments and conduction electrons in metals.
• Understanding multi-impurity Kondo systems is crucial for developing novel electronic materials and devices.
• Previous studies have primarily focused on two-impurity systems or simplified models.

Purpose of the Study:

• To provide a comprehensive numerical solution for the three interacting Kondo impurities problem.
• To investigate the influence of interatomic exchange interactions on Kondo resonance suppression across various cluster geometries.
• To explore the impact of magnetic frustrations and compare Heisenberg and Ising models for adatom trimers.

Main Methods:

• Utilizing a numerically exact continuous-time quantum Monte Carlo (CTQMC) scheme.
• Simulating systems with three interacting Kondo impurities in different geometric configurations.
• Analyzing the suppression of the Kondo resonance and magnetic properties.

Main Results:

• The Kondo resonance is significantly suppressed by interatomic exchange interactions.
• A marked difference in behavior is observed between Heisenberg and Ising models for antiferromagnetically coupled adatoms.
• The study quantifies the effects of magnetic frustrations in adatom trimers.

Conclusions:

• The CTQMC method provides an accurate framework for solving complex multi-impurity Kondo problems.
• Interatomic exchange interactions play a critical role in modifying Kondo physics, especially in specific magnetic coupling regimes.
• Findings offer insights into experimental observations and guide future research in nanoscale magnetism and quantum computing.