Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model
arXiv:2512.01487 · doi:10.1103/lz1c-bmpw
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.
arXiv comment10 pages, 12 figures, theoretical study on condensed matter physics (honeycomb lattice Holstein model); no generative AI tools used in research
References in corpus (40)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Electronic transport in two dimensional graphene
- Complexity in Strongly Correlated Electronic Systems
- Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
- Electron-Electron Interactions in Graphene: Current Status and Perspectives
- Colloquium: The transport properties of graphene: An introduction
- Strength of effective Coulomb interactions in graphene and graphite
- Metal-insulator transition in two-dimensional electron systems
- Density matrix renormalization group study of the polaron problem in the Holstein model
- Strong Correlations and d+id Superconductivity in Twisted Bilayer Graphene
- Chiral d-wave superconductivity in doped graphene
- Superconductor-Insulator Transition in a Disordered Electronic System
- Breakdown of Migdal-Eliashberg theory; a determinant quantum Monte Carlo study
- Geometry Dependence of the Sign Problem
- Disorder in quantum many-body systems
- Conducting phase in the two-dimensional disordered Hubbard model
- Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons
- Charge Order in the Holstein Model on a Honeycomb Lattice
- Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid
- Antiferromagnetism induced by electron-phonon-coupling
- A correlated Anderson insulator on the honeycomb lattice
- Collective excitations and plasmon spectrum in twisted bilayer graphene near the magic angle
- Trapping of three-dimensional Holstein polarons by various impurities
- Langevin Simulations of the Half-Filled Cubic Holstein Model
- Localization of Large Polarons in the Disordered Holstein Model
- Anderson localization of polaron states
- Statistical dynamical mean-field description of strongly correlated disordered electron-phonon systems
- Magnetism and charge order in the honeycomb lattice
- Charge Density Wave and Superconductivity in the Disordered Holstein Model
- Metal-insulator transition in the disordered Hubbard model of the Lieb lattice
- Disorder-dependent superconducting pairing symmetry in doped graphene
- Supersolid Phase in the Diluted Holstein Model
- Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
- High-temperature superconductivity induced by the Su-Schrieffer-Heeger electron-phonon coupling
- Flat bands and superconductivity induced by periodic strain in monolayer graphene
- Origin of magic angles in twisted bilayer graphene: The magic ring
- Doping driven metal-insulator transition in disordered graphene
- Transport anisotropy and metal-insulator transition in striped Dirac fermion systems
- Emergent Quantum Phenomena of Noncentrosymmetric Charge-Density Wave in 1T-Transition Metal Dichalcogenides