Evidence for a Mott-Hubbard Transition in a Two-Dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mn>3</mml:mn></mml:mmultiscripts></mml:math>Fluid Monolayer

Casey, A.; Patel, Hiral; Nyéki, J.; Cowan, Brian; Saunders, J.

doi:10.1103/physrevlett.90.115301

Cited by 119 publications

(191 citation statements)

References 30 publications

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“…It is seen from Fig. 2, that linear fit is unable to properly describe the experiment [8] at small 1 − z (i.e. near x = x c ), while the fractional fit describes the experiment pretty good.…”

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confidence: 96%

“…[5] ( 3 He bilayer) can be equally well approximated by both linear and fractional functions, while the data in Ref. [8] cannot. For instance, both fitting functions give for the critical density in bilayer x c ≈ 9.8 nm −2 , while for monolayer [8] these values are different -x c = 5.56 for linear fit and x c = 5.15 for fractional fit.…”

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confidence: 99%

“…Our analysis of the experimental measurements has shown that the behavior of 2D 3 He is pretty similar to that of 3D HF compounds with various ground state magnetic properties. Because of van-der-Waals character of interparticle interaction, 3 He has a very important feature: the change of total density of 3 He film drives it towards QCP at which the quasiparticle effective mass M * diverges [5,8]. This peculiarity permits to plot the experimental temperature-density phase diagram, which in turn can be directly compared with theoretical predictions.…”

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confidence: 99%

“…[8] cannot. For instance, both fitting functions give for the critical density in bilayer x c ≈ 9.8 nm −2 , while for monolayer [8] these values are different -x c = 5.56 for linear fit and x c = 5.15 for fractional fit. It is seen from Fig.…”

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confidence: 99%

“…The attempt to fit the available experimental data for C(T )/T in 3 He [8] by the universal function M * N (y) is reported below in Fig. 4.…”

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confidence: 99%

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Universal Behavior of Two-DimensionalHe3at Low Temperatures

et al. 2008

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On the example of two-dimensional (2D) 3 He we demonstrate that the main universal features of its experimental temperature T -density x phase diagram [see M. Neumann, J. Nyéki, J. Saunders, Science 317, 1356Science 317, (2007] look like those in the heavy-fermion metals. Our comprehensive theoretical analysis of experimental situation in 2D 3 He allows us to propose a simple expression for effective mass M * (T, x), describing all diverse experimental facts in 2D 3 He in unified manner and demonstrating that the universal behavior of M * (T, x) coincides with that observed in HF metals.PACS numbers: 72.15. Qm, 71.27.+a, 74.20.Fg, 74.25.Jb One of the main purposes of condensed matter physics is to unveil the nature of the non-Fermi liquid (NFL) behavior in various strongly correlated Fermi-systems. These substances, such as high temperature superconductors, heavy fermion (HF) metals, 2D electron and 3 He systems are the objects of intensive studies leading to understanding of many-body effects and quantum phase transitions responsible for the NFL behavior. Heavy fermion metals provide important examples of strongly correlated Fermi-systems [1,2]. In these compounds, being f-electron alloys, a lattice of f-electron spins couples to the itinerant electronic system by s − f Kondo exchange interaction. The properties of such systems are now hotly debated as there is a common wisdom that they are related to zero temperature quantum fluctuations, suppressing quasiparticles and giving rise to a quantum critical point (QCP), where the systems transit to different magnetic ground states generating their specific NFL behavior [2,3]. On the other hand, it was shown that the electronic system of HF metals demonstrates the universal low-temperature behavior irrespectively of their magnetic ground state [4]. Therefore it is of crucial importance to check whether this behavior can be observed in 2D Fermi systems. Fortunately, the recent measurements on 2D 3 He become available [5,6]. Their results are extremely significant as they allow to check the presence of the universal behavior in the system formed by 3 He atoms which are essentially different from electrons. Namely, the neutral atoms of 2D 3 He are fermions with spin S = 1/2 and they interact with each other by van-der-Waals forces with strong hardcore repulsion (due to electrostatic repulsion of protons) and a weakly attractive tail. The different character of interparticle interaction along with the fact, that a mass of He atom is 3 orders of magnitude larger then that of an electron, makes 3 He to have drastically different microscopic properties then that of 3D HF metals. Because of this difference nobody can be sure that the macroscopic physical properties of both above fermionic systems will be more or less similar to each other.The bulk liquid 3 He is historically the first object, to which a Landau Fermi-liquid (LFL) theory had been applied [7]. This substance, being intrinsically isotropic Fermi-liquid with negligible spin-orbit interaction is an ideal obj...

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confidence: 96%

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confidence: 99%

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confidence: 99%

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confidence: 99%

“…The attempt to fit the available experimental data for C(T )/T in 3 He [8] by the universal function M * N (y) is reported below in Fig. 4.…”

mentioning

confidence: 99%