Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 22 min ago
PreprintCC BYarXiv (Cornell University)

Rhombohedral Graphene: A Tale of Many Crystals

  • Ahmed Abouelkomsan1
  • Filippo Gaggioli1
  • Daniele Guerci1
  • Liang Fu1
  1. 1Department of Physics , Massachusetts Institute of Technology , Cambridge , Massachusetts 02139 , USA
Open at sourcePDFDOICite

Abstract

Experiments on rhombohedral graphene have uncovered an extraordinary wealth of correlated quantum phases - from chiral superconductors to electronic crystals - all within a single family of atomically thin materials. Here, we introduce a simple indicator, derived from the noninteracting band dispersion, that identifies strongly correlated regions in the phase diagram of rhombohedral graphene as a function of carrier density and displacement field. We develop a neural-network variational Monte Carlo method, combined with Hartree-Fock theory, to solve the interacting ground states. Our calculation reveals a variety of electron crystals with no classical analog. These include, at increasing density: Wigner crystal, self-doped Wiger crystal, as well as ''anticrystal'', a lattice of holes in an electron liquid. We discuss their experimental manifestations and possible connection to superconductivity.

Related

  1. Crystals caught doping: Metallic Wigner crystals in rhombohedral graphene
    Junkai Dong, Tomohiro Soejima, Daniel E. Parker +1
    Physical Review LettersPeer-reviewedLicence not statedFull text17 citedMaterials & polymersOpenAlex
  2. Ideal limit of rhombohedral graphene: Dynamical skyrmion lattices and their excitations
    Tixuan Tan, Patrick J. Ledwith, Trithep Devakul
    Physical Review XPeer-reviewedPublisher termsMaterials & polymersCrossref
  3. Berry trash can: A model of interacting electrons in rhombohedral graphene
    Bogdan Andrei Bernevig, Yves H. Kwan
    Physical review. B./Physical review. BPeer-reviewedLicence not statedFull text43 citedMaterials & polymersOpenAlex
  4. Superconductivity from dual-surface carriers in rhombohedral graphene
    Manish Kumar, Derek Waleffe, Anna Okounkova +7
    Nature PhysicsPeer-reviewedLicence not statedFull text24 citedMaterials & polymersOpenAlex
  5. Competing Orders Driven by Wigner Crystal Phase in Rhombohedral Graphene
    Zekang Zhou, Kilian Krötzsch, Raphaël Ayache +7
    arXiv (Cornell University)PreprintCC BYFull text14 citedMaterials & polymersOpenAlex

Cite

BibTeXRIS
BibTeX
@misc{abouelkomsan2026rhombohedral,
  title = {{Rhombohedral Graphene: A Tale of Many Crystals}},
  author = {Ahmed Abouelkomsan and Filippo Gaggioli and Daniele Guerci and Liang Fu},
  howpublished = {arXiv (Cornell University)},
  year = {2026},
  month = jul,
  doi = {10.48550/arxiv.2608.00167},
  url = {https://arxiv.org/abs/2608.00167},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - Rhombohedral Graphene: A Tale of Many Crystals
AU  - Ahmed Abouelkomsan
AU  - Filippo Gaggioli
AU  - Daniele Guerci
AU  - Liang Fu
PY  - 2026
DA  - 2026/07/31
PB  - arXiv (Cornell University)
DO  - 10.48550/arxiv.2608.00167
UR  - https://arxiv.org/abs/2608.00167
AB  - Experiments on rhombohedral graphene have uncovered an extraordinary wealth of correlated quantum phases - from chiral superconductors to electronic crystals - all within a single family of atomically thin materials. Here, we introduce a simple indicator, derived from the noninteracting band dispersion, that identifies strongly correlated regions in the phase diagram of rhombohedral graphene as a function of carrier density and displacement field. We develop a neural-network variational Monte Carlo method, combined with Hartree-Fock theory, to solve the interacting ground states. Our calculation reveals a variety of electron crystals with no classical analog. These include, at increasing density: Wigner crystal, self-doped Wiger crystal, as well as ''anticrystal'', a lattice of holes in an electron liquid. We discuss their experimental manifestations and possible connection to superconductivity.
SN  - 2331-8422
ER  -