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Charge Order in the Holstein Model on a Honeycomb Lattice
Y-X Zhang1, W-T Chiu1, N C Costa2
1Department of Physics, University of California, Davis, California 95616, USA.
Physical Review Letters
|March 9, 2019
Summary
Electron-phonon interactions on Dirac fermions can induce charge-density-wave (CDW) order. This CDW phase emerges above a critical interaction strength and occurs at finite temperatures due to discrete symmetry breaking.
Area of Science:
- Condensed Matter Physics
- Quantum Simulation
- Materials Science
Background:
- Investigating Dirac fermions and their interactions is crucial for understanding exotic quantum phases.
- The interplay between electron-electron and electron-phonon interactions in Dirac systems is a key area of research.
- Exploring potential spin-liquid phases between semimetal and antiferromagnetic regimes.
Purpose of the Study:
- To investigate the role of electron-phonon interactions on Dirac fermions using the Holstein model.
- To explore the emergence of charge-density-wave (CDW) order in Dirac fermion systems.
- To determine the critical interaction strength and transition temperature for CDW formation.
Main Methods:
- Utilizing determinant quantum Monte Carlo simulations.
- Applying the Holstein model to a honeycomb lattice.
- Analyzing the conditions for charge-density-wave (CDW) order and its transition temperature.
Main Results:
- Electron-phonon interactions drive the formation of charge-density-wave (CDW) order in Dirac fermions.
- CDW order appears only when the interaction strength exceeds a finite critical value.
- The transition temperature for CDW formation can be finite due to discrete symmetry breaking.
Conclusions:
- Electron-phonon coupling is a significant mechanism for inducing CDW order in Dirac fermion systems.
- The study provides insights into the phase transitions of Dirac materials.
- Quantum Monte Carlo simulations are effective for exploring complex quantum phenomena.
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