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Diagnosis of Interaction-driven Topological Phase via Exact Diagonalization
Han-Qing Wu1, Yuan-Yao He1, Chen Fang2
1Department of Physics, Renmin University of China, Beijing 100872, China.
Physical Review Letters
|August 20, 2016
Summary
We developed a method using exact diagonalization to identify topological phases driven by weak interactions. This reveals a quantum anomalous Hall phase in spinless fermions due to repulsive interactions.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Materials Science
Background:
- Diagnosing interaction-driven topological phases is challenging, especially in the weak interaction regime.
- Exact diagonalization (ED) is a powerful numerical technique for studying small quantum systems.
Purpose of the Study:
- To propose a general scheme for diagnosing interaction-driven topological phases using exact diagonalization.
- To investigate interaction effects on spinless fermions on a checkerboard lattice.
- To identify topological phases and phase transitions in a specific model system.
Main Methods:
- Utilizing exact diagonalization (ED) to analyze many-body eigenstates.
- Examining eigenvalues of point-group operators and correlation functions.
- Extracting order parameter symmetries and topological numbers from finite-size systems.
Main Results:
- A spontaneous quantum anomalous Hall phase is identified, driven by weak nearest-neighbor repulsive interactions.
- This topological phase is distinct from a nematic Mott insulator phase at strong interactions.
- A first-order phase transition separates these two phases.
Conclusions:
- The proposed ED scheme effectively diagnoses interaction-driven topological phases.
- Weak repulsive interactions can induce a quantum anomalous Hall phase in this system.
- The findings provide insights into topological phase transitions driven by electron-electron interactions.
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