Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model

Abstract

The formation of charge-density-wave order in Dirac fermion systems via electron-phonon coupling represents a significant topic in condensed matter physics. In this work, we investigate this phenomenon within the Holstein model on the honeycomb lattice, with a specific focus on the effect of disorder. While the interplay between electron-electron interactions and disorder has long been a central theme in the field, recent attention has increasingly turned to the combined influence of disorder and electron-phonon coupling. Using determinant quantum Monte Carlo simulations, we concentrate on the phase transitions of charge-density-wave order on the honeycomb lattice. Disorder is introduced through the random hopping of electrons in the system, which can localize electrons via the Anderson effect. Our primary result is that disorder suppresses the charge-density-wave phase, and the interplay between disorder and electron-phonon interactions extends the phase area. We also determine the transition temperature \(β_c\) to the ordered phase as a function of the electron-phonon coupling. Additionally, we observed a suppression of electron kinetic energy and dc conductivity under disorder, highlighting the role of Anderson localization in the degradation of electronic transport. These findings offer significant theoretical insight into the stability and critical phenomena of correlated phases in disordered two-dimensional systems.

10 pages, 12 figures, theoretical study on condensed matter physics (honeycomb lattice Holstein model); no generative AI tools used in research

References in corpus (21)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Colloquium: The transport properties of graphene: An introduction
• Metal-insulator transition in two-dimensional electron systems
• Geometry Dependence of the Sign Problem
• Antiferromagnetism induced by electron-phonon-coupling
• Collective excitations and plasmon spectrum in twisted bilayer graphene near the magic angle
• Trapping of three-dimensional Holstein polarons by various impurities
• Localization of Large Polarons in the Disordered Holstein Model
• Magnetism and charge order in the honeycomb lattice
• Disorder-dependent superconducting pairing symmetry in doped graphene
• Metal-insulator transition in the disordered Hubbard model of the Lieb lattice
• Flat bands and superconductivity induced by periodic strain in monolayer graphene
• Supersolid Phase in the Diluted Holstein Model
• Origin of magic angles in twisted bilayer graphene: The magic ring
• High-temperature superconductivity induced by the Su-Schrieffer-Heeger electron-phonon coupling
• Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
• Doping driven metal-insulator transition in disordered graphene
• Emergent Quantum Phenomena of Noncentrosymmetric Charge-Density Wave in 1T-Transition Metal Dichalcogenides
• Transport anisotropy and metal-insulator transition in striped Dirac fermion systems