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Magnetism and Charge Order in the Honeycomb Lattice
Natanael C Costa1,2, Kazuhiro Seki3, Sandro Sorella1
1International School for Advanced Studies (SISSA), Via Bonomea 265, 34136 Trieste, Italy.
Physical Review Letters
|March 30, 2021
Summary
This study explores electron-phonon interactions in honeycomb lattices using quantum Monte Carlo simulations. It identifies critical points and phase transitions, revealing key properties of these important materials.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Quantum Mechanics
Background:
- Electron-phonon interaction is crucial for understanding honeycomb systems like graphene.
- Theoretical models often overlook these interactions, leaving their effects on Dirac electrons and long-range ordering an open question.
Purpose of the Study:
- To investigate the Hubbard-Holstein model (HHM) in a half-filled honeycomb lattice.
- To analyze the impact of electron-phonon interactions on semimetal-to-insulator transitions and magnetic ordering.
Main Methods:
- Unbiased quantum Monte Carlo simulations were employed.
- Finite-size scaling analysis was performed to determine critical points and phase transitions.
Main Results:
- Identified semimetal-to-insulator quantum critical points.
- Determined the behavior of antiferromagnetic and charge-density wave phase transitions.
- Established the ground state phase diagram of the HHM for intermediate interaction strengths and varying phonon frequencies.
Conclusions:
- Provided quantitative and qualitative descriptions of the HHM at intermediate coupling.
- Findings offer insights into many-body properties and electron-phonon coupling in honeycomb systems.
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