Two-dimensional Bose-Hubbard model for helium on graphene

Yu, Jiangyong; Lauricella, Ethan; Elsayed, Mohamed Saeed; Jr, Kenneth Shepherd; Nichols, Nathan; Lombardi, Todd; Kim, Sang Wook; Wexler, Carlos; Vanegas, Juan M.; Lakoba, Taras I.; Kotov, Valeri N.; Maestro, Adrian Del

doi:10.1103/physrevb.103.235414

Cited by 10 publications

(56 citation statements)

References 89 publications

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“…(1) where the interaction between the atoms and graphene (V He−s ) as well as that between atoms (V He−He ) are of van der Waals origin. In this perspective, we focus on 4 He adsorbates. They represent an ideal candidate, as they are light, highly symmetric (thus having rather weak VDW interactions) and exhibit quantum behavior, including superfluidity in the bulk.…”

Section: Atoms Near Graphenementioning

confidence: 99%

“…They represent an ideal candidate, as they are light, highly symmetric (thus having rather weak VDW interactions) and exhibit quantum behavior, including superfluidity in the bulk. While an empirical form of V He−He has been determined to high accuracy by fitting to known experimental results [17][18][19], the adsorption potential V He−s has greater uncertainty [3,20], with a commonly used form involving the sum of individual spherically isotropic 6 − 12 Lennard-Jones interactions between 4 He and C. The long-range part (i.e. the attractive potential tail) of V He−s (z) ∼ −z −4 , in the intermediate distance range, has been thoroughly investigated [3,21,22].…”

Section: Atoms Near Graphenementioning

confidence: 99%

“…The single-particle lowest energy bands computed from an effective He-graphene adsorption potential determined from the empirical potential in Eq. (1) (Wannier), or by computing adsorption energies in the plane via quantum Monte Carlo (QMC), density functional theory (DFT) and Møller-Plesset perturbation theory (MP2) [4]. Lines show the tight-binding prediction in Eq.…”

Section: Atoms Near Graphenementioning

confidence: 99%

“…1(b) with the corrugation fully determined by the smallest two reciprocal lattice vectors of graphene. These values were recently determined via four different many-body methods [4], and the resulting single-particle Hamiltonians were diagonalized to obtain the band structure for a single 4 He atom on graphene. The results for the lowest band along a high-symmetry path in reciprocal space are shown in Fig.…”

Section: Atoms Near Graphenementioning

confidence: 99%

“…Interactions between neutral atoms and materials, and between pairs of atoms, are of van der Waals (VDW) nature [2]. They control a wide variety of physical phenomena ranging from extreme quantum behavior of atomic gases near material surfaces [3,4], to collective properties of thin liquid films forming on material substrates [5]. In this perspective, we describe these two regimes of many-body behavior, and various routes towards manipulating it, for the benefit of improving our theoretical understanding of correlated phenomena, and potentially exploiting it for novel future technologies.…”

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A Perspective on Collective Properties of Atoms on 2D Materials

Del Maestro,

Wexler,

Vanegas

et al. 2021

Preprint

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Atoms deposited on two-dimensional (2D) electronic materials, such as graphene, can exhibit unconventional many-body correlations, not accessible in other settings. All of these are driven by van der Waals forces: between the atoms themselves and atom-material interactions. For example 4 He atoms on 2D materials can potentially form a variety of exotic quantum states of matter, such as two-dimensional supersolids and superfluids, in addition to solid phases. For the "most quantum" case of a single helium layer we discuss, from a theoretical perspective, how the effective low-energy (Bose-Hubbard) description can take advantage of the extreme sensitivity of this unique system to the interplay between the atomic (helium) and solid-state (graphene) components. Due to the extraordinary variety and tunability of 2D electronic materials, we envisage that a wide range of correlated atomic phases can be realized under favorable conditions. We also outline exciting possibilities in the opposite extreme of many atomic layers forming a liquid on top of graphenein this case a so-called "spinodal de-wetting" pattern can form at the liquid-vapor interface which reflects the presence and electronic properties of graphene underneath. Such patterns could be manipulated by choosing different atoms and materials, with potential technological applications.

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Section: Atoms Near Graphenementioning

confidence: 99%

Section: Atoms Near Graphenementioning

confidence: 99%

Section: Atoms Near Graphenementioning

confidence: 99%

Section: Atoms Near Graphenementioning

confidence: 99%

mentioning

confidence: 99%

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A Perspective on Collective Properties of Atoms on 2D Materials

Del Maestro,

Wexler,

Vanegas

et al. 2021

Preprint

Self Cite

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A Perspective on Collective Properties of Atoms on 2D Materials

Maestro

Wexler

Vanegas

et al. 2021

Adv Elect Materials

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Atoms deposited on 2D electronic materials, such as graphene, can exhibit unconventional many‐body correlations, not accessible in other settings. All of these are driven by van der Waals forces: between the atoms themselves and atom‐material interactions. For example 4He atoms on 2D materials can potentially form a variety of exotic quantum states of matter, such as 2D supersolids and superfluids, in addition to solid phases. For the “most quantum” case of a single helium layer we discuss, from a theoretical perspective, how the effective low‐energy (Bose–Hubbard) description can take advantage of the extreme sensitivity of this unique system to the interplay between the atomic (helium) and solid‐state (graphene) components. Due to the extraordinary variety and tunability of 2D electronic materials, it is envisaged that a wide range of correlated atomic phases can be realized under favorable conditions. Exciting possibilities in the opposite extreme of many atomic layers forming a liquid on top of graphene are also outlined —in this case a so‐called “spinodal dewetting” pattern can form at the liquid–vapor interface which reflects the presence and electronic properties of graphene underneath. Such patterns could be manipulated by choosing different atoms and materials, with potential technological applications.

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Effects of Substrate Corrugation During Helium Adsorption on Graphene in the Grand Canonical Ensemble

Erwin,

Del Maestro

2024

J Low Temp Phys

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Two-dimensional Bose-Hubbard model for helium on graphene

Cited by 10 publications

References 89 publications

A Perspective on Collective Properties of Atoms on 2D Materials

A Perspective on Collective Properties of Atoms on 2D Materials

A Perspective on Collective Properties of Atoms on 2D Materials

Effects of Substrate Corrugation During Helium Adsorption on Graphene in the Grand Canonical Ensemble

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