Crossover from one to two dimensions in liquid 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>He</mml:mi><mml:mprescripts /><mml:none /><mml:mn>4</mml:mn></mml:mmultiscripts></mml:math>
 in a nanopore

Markić, Leandra Vranješ; Dželalija, Krešimir; Glyde, H. R.

doi:10.1103/physrevb.101.104505

Cited by 5 publications

(12 citation statements)

References 48 publications

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“…1 is very similar to that used in Ref. 33, the latter being shifted upward by about 23 K, compared to ours.…”

Section: Model and Methodologysupporting

confidence: 90%

“…These results are quantitatively very similar to those of Ref. 33 for the same linear densities, albeit their results are generally obtained with different choices of pore radius and/or potential parameters. This similarity allows us to make a cogent comparison of our results and predictions for these systems with theirs.…”

Section: A Dimensionalitysupporting

confidence: 88%

“…We attribute the disagreement between our conclusions and those of Ref. 33, to the fact that the length L of the systems studied therein (making use of the same computational technology adopted here), is insufficient to reach the TLL regime [34]. We generally confirm both the findings of Refs.…”

Section: Introductionsupporting

confidence: 71%

“…The main conclusion of our study is that, in the limit (R/L) → 0, the 1D behavior of 4 He is always recovered, regardless of pore radius and/or shell structure inside the pore, in contrast with the claim of Ref. 33. We see no evidence of any dimensional crossover to 2D or 3D.…”

Section: Introductioncontrasting

confidence: 48%

“…We compute the superfluid fraction ρ S (L, T ) of 4 He inside the pore, just like in Ref. 33, as well as the axial static structure factor S(k). As mentioned above, S(k) has a known analytical form within the TLL, and is expected to display well-defined scaling properties with respect to the product LT of pore length L and temperature.…”

Section: Introductionmentioning

confidence: 99%

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Quasi-one-dimensional $^4$He in nanopores

Nava,

Giuliano,

Nguyen

et al. 2021

Preprint

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Low temperature structural and superfluid properties of 4 He confined in cylindrical nanopores are theoretically investigated by means of first principle Quantum Monte Carlo (QMC) simulations. We vary the density of 4 He inside the pore, as well as the pore diameter and the potential describing the interaction of each 4 He atom with the pore surface. Accordingly, the 4 He fluid inside the pore forms either a single channel along the axis, or a series of concentric cylindrical shells, with varying degrees of shell overlap. In the limit of pore length greatly exceeding its radius, the 4 He fluid always displays markedly one-dimensional behavior, with no "dimensional crossover" above some specific pore radius and/or as multiple concentric shells form, in contrast to what recently claimed by other authors [Phys. Rev. B 101, 104505 (2020)]. Indeed, the predicted robustness of one-dimensional physics suggests that this system may offer a broadly viable pathway to the experimental observation of exotic behavior of, e.g., junctions of interacting Tomonaga-Luttinger liquids, in an appropriately designed network of nanopores.

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