Artificial honeycomb lattices for electrons, atoms and photons
Open accessAbstract
Artificial honeycomb lattices offer a tunable platform for studying massless Dirac quasiparticles and their topological and correlated phases. Here we review recent progress in the design and fabrication of such synthetic structures focusing on nanopatterning of two-dimensional electron gases in semiconductors, molecule-by-molecule assembly by scanning probe methods and optical trapping of ultracold atoms in crystals of light. We also discuss photonic crystals with Dirac cone dispersion and topologically protected edge states. We emphasize how the interplay between single-particle band-structure engineering and cooperative effects leads to spectacular manifestations in tunnelling and optical spectroscopies.
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The band structure related to Dirac cones has been widely investigated in the energy-momentum space using bulk measurement with measured density and dispersion pattern.
“The band structure related to Dirac cones has been widely investigated in the energy-momentum space using the bulk measurement with measured density and dispersion pattern [10, 22-25].”
From Observing movement of Dirac cones from single-photon dynamics (2021) · cites this paper as [10]
The Introduction (p. 1) describes Dirac cones as linearly dispersing bands, and ‘Designing and probing Dirac bands’ (p. 1) says artificial lattices are used to investigate Dirac energy–momentum dispersion. But the Fig. 2 discussion (p. 4) describes calculated band structures and density of states alongside local STM measurements; it does not establish the claimed widespread use of bulk measurements to measure both density and dispersion patterns. (LLM, conf=0.82)
Experimental — accuracy not yet measuredRecently, varieties of artificial systems have enabled the imitation and exploration of graphene and Dirac cones using the honeycomb structure with controllable parameters and observables beyond traditional graphene itself.
“Recently, varieties of artificial systems have enabled the imitation and exploration of graphene and Dirac cones using the honeycomb structure with controllable parameters and observables [10-25] beyond traditional graphene itself where those are not easily accessible.”
From Observing movement of Dirac cones from single-photon dynamics (2021) · cites this paper as [10]
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“The band structure related to Dirac cones has been widely investigated in the energy-momentum space using the bulk measurement with measured density and dispersion pattern [10, 22–25].”
BackgroundMethod
- Authors
- Polini, M., Guinea, F., Lewenstein, M., Manoharan, H. C., & Pellegrini, V.
- Affiliations
- Scuola Normale Superiore (IT)
- Instituto de Ciencia de Materiales de Madrid (ES)
- Institució Catalana de Recerca i Estudis Avançats (ES)
- SLAC National Accelerator Laboratory (US)
- Corresponding author
- Polini, Marco
- Venue
- Nature Nanotechnology
- Published
- 2013-09
- Volume
- 8
- Issue
- 9
- Pages
- 625-633
- ISSN
- 1748-3387 (ISSN-L)
- 1748-3395
- OpenAlex
- W2598534366
- Cited by
- 453
- References
- 16
- Citations by year
- 2026: 14 · 2025: 17 · 2024: 32 · 2023: 35 · 2022: 27 · 2021: 38 · 2020: 37 · 2019: 32 · 2018: 50 · 2017: 36 · 2016: 43 · 2015: 44 · 2014: 35 · 2013: 13
- FWCI
- 23.17
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature Nanotechnology (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- DIGITAL.CSIC (Spanish National Research Council (CSIC)) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Materials Science › Materials Chemistry › 2D Materials and Applications
- Keywords
- topological phases, correlated phases, two-dimensional electron gas, nanopatterning, scanning probe lithography, optical trapping, ultracold atoms, photonic crystals, topological edge states, band structure engineering, tunneling, optical spectroscopy
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