Fermi-gas approach to the problem of superfluidity in three- and two- dimensional solutions of &lt;sup&gt;3&lt;/sup&gt;He in &lt;sup&gt;4&lt;/sup&gt;He

Kagan, M. Yu.

doi:10.3367/ufnr.0164.199401c.0077

Cited by 7 publications

(1 citation statement)

References 36 publications

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“…the system can be tuned through a Feshbach resonance, absent for 2D interactions). Thus 3 He provides an interesting model system to explore interactions in 2D, of significant interest theoretically [44][45][46][47][48][49]. This is important in the wider context of: two dimensional/interface superconductivity in metals [50], incuding FeSe/STO [51], Li/graphene [52,53]; cold atoms, experiments on multiple quasi-2D layers [54,55].…”

Section: He 2d Fermi Liquidmentioning

confidence: 99%

Realizing quantum materials with Helium: Helium films at ultralow temperatures, from strongly correlated atomically layered films to topological superfluidity

Saunders

2018

Topological Phase Transitions and New Developments

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This article provides an overview, primarily from an experimental perspective, of recent progress and future prospects in using helium to realize a range of quantum materials of generic interest, by "top-down" and "bottom-up" nanotechnology. We can grow model systems to realise new quantum states of matter, and explore key issues in condensed matter physics. In the language of cold atomic gases, two dimensional and confined 3 He and 4 He provide "quantum simulators", with the potential to uncover new emergent quantum states. These include: strictly 2D Fermi system with Mott-Hubbard transition; interacting coupled 2D fermion-boson system; heavy fermion quantum criticality; ideal 2D frustrated ferromagnetism; 2D quantum spin liquid; intertwined superfluid and density wave order with emergent large symmetry; topological mesoscopic superfluidity (new materials and emergent excitations).

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Section: He 2d Fermi Liquidmentioning

confidence: 99%

Realizing quantum materials with Helium: Helium films at ultralow temperatures, from strongly correlated atomically layered films to topological superfluidity

Saunders

2018

Topological Phase Transitions and New Developments

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Correlations and anharmonic effects in solid helium

Nikolaeva

2008

Russ Phys J

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A relationship between correlations and anharmonic effects in solid helium is investigated based on the Bogolyubov method. To this end, the internal energy of the system and the expression for the pressure derived with the use of one-and two-particle density matrices are considered for which the series of perturbation theory converge at any arbitrary temperature. The results obtained are compared with the available experimental data on diffraction of synchrotron radiation by helium crystals.Keywords: anharmonism, solid helium.In the last few decades, solid helium has become a subject of intensive research [1,2]. The reason is that high amplitudes of particle oscillations in these crystals gives rise to radically new effects observed in it [3,4]. In addition, these crystals are very promising for investigations of solid-liquid phase transitions [5]. In the last few years, the kinetic effects and cluster systems comprising atoms capable of forming quantum crystals have been intensively investigated [6,7]. In the middle 50s of the last century, the possibility appeared to investigate macroscopic systems of 3 He atoms. As a result, many works nowadays are devoted to binary 4 He and 3 He mixtures [8]. All this has led to a sharp increase in the number of articles devoted to quantum crystals. This is also favored by the rapid development of representations on liquid helium, since the modern theory of liquids, as a rule, uses the results obtained in the study of the ordered phase [3]. At the same time, a study of the crystal phase is of independent interest for the above-mentioned reasons.In spite of the fact that quantum crystals possess high degree of anharmonicity even at low temperatures, the notion of phonons is commonly used for their research. To this end, they are appropriately renormalized with allowance for short-range correlations [2]. However, this approach yields poorly converging series in the region of phase transition even for ideal gas crystals whose displacements from equilibrium positions are small [3]. To solve the problem of efficient allowance for the anharmonism, correlation expansions could be used; however, at low temperatures it is difficult to provide convergence of expansions within the framework of the standard approach going back to the Einstein model used as a main approximation. The present work studies a relationship between correlations and anharmonic terms used to describe solid helium crystals.We take advantage of the Bogolyubov method to construct statistical thermodynamics of quantum crystals. To this end, we consider an ordered system of N particles localized in the macroscopic volume V at the temperature T . The quantum equilibrium chain of the Bogolyubov equations can be written in the form [9]

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Trapping of lithium atoms in a large hollow optical dipole trap

Vinogradov¹,

Карпов²,

Lukashov³

et al. 2020

Quantum Electron.

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We describe the trapping of lithium atoms in an optical dipole trap about 1 mm in size, with a nearly rectangular potential. The trap has the shape of a cylinder with flat bases. The confinement region is bounded by thin walls produced by light with a frequency blue-detuned from an atomic transition (resonance) frequency by 19 GHz. Before trapping, the gas is collected and cooled in a magneto-optical trap whose centre nearly coincides with the centre of the dipole trap. After switching off the magneto-optical trap, we have photographed the atoms remaining in the dipole trap.

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Fermi-gas approach to the problem of superfluidity in three- and two- dimensional solutions of <sup>3</sup>He in <sup>4</sup>He

Cited by 7 publications

References 36 publications

Realizing quantum materials with Helium: Helium films at ultralow temperatures, from strongly correlated atomically layered films to topological superfluidity

Realizing quantum materials with Helium: Helium films at ultralow temperatures, from strongly correlated atomically layered films to topological superfluidity

Correlations and anharmonic effects in solid helium

Trapping of lithium atoms in a large hollow optical dipole trap

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