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The order parameter of the quasi-isotropic superfluid A-like phase of 3He is rewritten in a simple form. Effect of anisotropy of magnetic susceptibility of this phase on the frequencies of the spatially uniform oscillations of spin and the…

Superconductivity · Physics 2007-05-23 I. A. Fomin

In He-3 superfluids quantized vorticity can take many different forms: It can appear as distributed periodic textures, as sheets, or as lines. In the anisotropic He-3A phase in most cases the amplitude of the order parameter remains…

Condensed Matter · Physics 2008-04-13 G. E. Volovik , V. B. Eltsov , M. Krusius

Highly anisotropic "nematically ordered" aerogel induces global uniaxial anisotropy in superfluid 3He. The anisotropy lowers symmetry of 3He in aerogel from spherical to axial. As a result instead of one transition temperature in the state,…

Disordered Systems and Neural Networks · Physics 2015-06-18 I. A. Fomin

Basing our arguments on a wave function that contains both positional and superfluid order, we propose a Ginzburg-Landau functional for a supersolid with the two order parameters necessary to describe such a phase: density n_B(r) and…

Superconductivity · Physics 2007-05-23 Alexander V. Balatsky , Elihu Abrahams

In superfluid $^3$He-B confined in a slab geometry, domain walls between regions of different order parameter orientation are predicted to be energetically stable. Formation of the spatially-modulated superfluid stripe phase has been…

Order parameters represent a fundamental resource to characterize quantum matter. We show that pair superfluids can be rigorously defined in terms of a nonlocal order parameter, named odd parity, which derivation is experimentally…

Quantum Gases · Physics 2025-02-12 Nitya Cuzzuol , Luca Barbiero , Arianna Montorsi

We theoretically investigate the superfluid phase transition of helium-3 under nanoscale confinement of one spatial dimension realized in recent experiments. Instead of the 3x3 complex matrix order parameter found in the three-dimensional…

Superconductivity · Physics 2023-10-06 Canon Sun , Adil Attar , Igor Boettcher

Within a phenomenological approach a criterion for a choice of forms of the order parameter of the superfluid phases of 3He in aerogel in a vicinity of the transition temperature is derived. The order parameter of bulk B-phase of 3He meets…

Superconductivity · Physics 2009-11-10 I. A. Fomin

Within a phenomenological approach possible forms of the order parameter of the superfluid phases of 3He in a vicinity of the transition temperature are discussed. Effect of aerogel is described by a random tensor field interacting with the…

Superconductivity · Physics 2009-11-10 I. A. Fomin

The determination of the texture of the order parameter is important for understanding many experiments in superfluid 3He. In addition to reviewing the theory of textures in superfluid 3He-B we give several new results, in particular on the…

Superconductivity · Physics 2007-05-23 E. V. Thuneberg

Surface superconductivity is studied within Ginzburg-Landau theory for two classes of models for the order parameter of UPt$_{3}$. The first class assumes two independent one-dimensional order parameters ($AB$ models), while the second…

Condensed Matter · Physics 2009-10-28 Ding Chuan Chen , Anupam Garg

The structures of order parameters which determine the bounds of the phase states in the framework of the $CP^{1}$ Ginzburg-Landau model were considered. Using the formulation of this model in terms of the gauged order parameters (the unit…

Strongly Correlated Electrons · Physics 2009-11-10 L. S. Isaev , A. P. Protogenov

We present results of nuclear magnetic resonance (NMR) experiments in superfluid 3He in two samples of nematic aerogel consisting of nearly parallel mullite strands. The samples were cut from the same piece of the aerogel, but one of them…

Other Condensed Matter · Physics 2020-08-26 V. V. Dmitriev , M. S. Kutuzov , A. A. Soldatov , A. N. Yudin

We solve the Ginzburg-Landau equation (GLE) for the mesoscopic thin film of the square shape in the magnetic field. In the limit of Ginzburg-Landau parameter $\kappa \to \infty$ we find a series of first and second order phase transitions…

Superconductivity · Physics 2009-11-07 J. Bonca , V. V. Kabanov

Anisotropic aerogel possesses structure which exhibits a strong influence over the composition and orientation of the order parameter of imbibed superfluid $^3$He. Computational studies have identified stretched aerogel with plane-like…

Superconductivity · Physics 2024-03-01 J. W. Scott , M. D. Nguyen , D. Park , W. P. Halperin

The phase diagram of superconducting $U\!Pt_{3}$ in pressure-temperature plane, together with the neutron scattering data is studied within a two component superconducting order parameter scenario. In order to give a qualitative explanation…

Condensed Matter · Physics 2009-10-28 G. Haran , G. A. Gehring

Superfluid $^3$He under nanoscale confinement has generated significant interest due to the rich spectrum of phases with complex order parameters that may be stabilized. Experiments have uncovered a variety of interesting phenomena, but a…

Recent advances in experiment and theory suggest that superfluid $^3$He under planar confinement may form a pair density wave (PDW) whereby superfluid and crystalline orders coexist. While a natural candidate for this phase is a…

Superconductivity · Physics 2022-01-10 Pramodh Senarath Yapa , Rufus Boyack , Joseph Maciejko

The pressure shifts of the $3s4s^3S_1 \to 3s3p^3P_{0,1,2}$ transition of magnesium atoms immersed in superfluid helium have been measured at $(1.3\pm0.1 )$K between saturated vapour pressure and $24 $bar. The wavelength is blue shifted…

Quantum Physics · Physics 2016-09-08 I. Baumann , A. Breidenassel , C. Zühlke , A. Kasimov , G. zu Putlitz , I. Reinhard , K. Jungmann

Liquid $^3$He confined in low-density, highly porous random solids such as silica aerogel provides tuneable systems to study the effects of disorder and confinement on the properties of a quantum liquid. New superfluid phases result from…

Superconductivity · Physics 2018-12-13 W. P. Halperin , J. M. Parpia , J. A. Sauls