Ring solitons and soliton sacks in imbalanced fermionic systems

Barkman, Mats; Samoilenka, Albert; Winyard, Thomas; Babaev, Egor

doi:10.1103/physrevresearch.2.043282

Cited by 17 publications

(11 citation statements)

References 50 publications

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“…The ferron state has already been identified as the object of enhanced stability [32]. Ginzburg-Landau approach, valid close to the critical temperature, also points to the state consisting of ferrons (called by authors ring solitons) as a candidate for the ground state [35]. Here we confirm that the state consisting of relatively large ferrons (radius by order of magnitude larger than the coherence length) is the predicted ground state in the low spin-polarization regime.…”

Section: Self-consistent Solutions and Their Energiessupporting

confidence: 80%

Disordered structures in ultracold spin-imbalanced Fermi gas

et al. 2023

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We investigate properties of spin-imbalanced ultracold Fermi gas in a large range of spin polarizations at low temperatures. We present results of microscopic calculations based on mean-field and density functional theory approaches, with no symmetry constraints. At low polarization values we predict the structure of the system as consisting of several spin-polarized droplets. As the polarization increases, the system self-organizes into a disordered structure similar to liquid crystals, and energetically they can compete with ordered structures such as grid-like domain walls. At higher polarizations the system starts to develop regularities that, in principle, can be called supersolid, where periodic density modulation and pairing correlations coexist. The robustness of the results has been checked with respect to temperature effects, dimensionality, and the presence of a trapping potential. Dynamical stability has also been investigated.

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Section: Self-consistent Solutions and Their Energiessupporting

confidence: 80%

Disordered structures in ultracold spin-imbalanced Fermi gas

et al. 2023

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“…While presence of them may be signature of emergence the FFLOtype phase, their complexity precludes of stating that the resulting phase pattern can be approximated as superposition of the vortex lattice phase and modulation of the sign along the radial direction. For example, in the cases δ = 5% and 10% objects that emerge close to the tube center resemble recently predicted spin polarized droplets [70] or soliton sacks [71] that are filled by vortices. In Fig.…”

Section: Impact Of the Trapping Potential Geometrysupporting

confidence: 76%

Vortex lattice in spin-imbalanced unitary Fermi gas

Kopyciński,

Pudełko,

Wlazłowski

2021

Preprint

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We investigate the properties of a spin-imbalanced and rotating unitary Fermi gas. Using a density functional theory (DFT), we provide insight into states that emerge as a result of a competition between Abrikosov lattice formation, spatial phase separation and the emergence of Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state. A confrontation of the experimental data [M. Zwierlein et al., Science 311, 492 (2006)] with theoretical predictions provides a remarkable qualitative agreement. In case of gas confined in a harmonic trap, the phase separation into a superfluid core populated by the Abrikosov lattice and a spin-polarized corona is the dominant process. Changing confinement to a box-like trap, reverts the spatial location of the component: gas being in the normal state is surrounded by superfluid threaded by quantum vortices. The vortex lattice no longer exhibits the triangular symmetry, and emergence of exotic geometries may be an indirect signature of the FFLO-like state formation in the system.

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“…We note that our conclusions do not apply for spin imbalanced superconductors, where a higher-order generalizations of Ginzburg-Landau functional have energy minimizing solutions both for pair-density-wave states [24][25][26][27][28] and for homogeneous states [29].…”

Section: Discussioncontrasting

confidence: 67%

The absence of superconductivity in the next-to-leading order Ginzburg-Landau functional for Bardeen-Cooper-Schrieffer superconductor

Rybakov,

Babaev

2021

Preprint

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Shortly after the Gor'kov's microscopic derivation of Ginzburg-Landau model via a small order parameter expansion in BCS theory, the derivation was carried to next-to-leading order in that parameter and its spatial derivatives. The aim was to obtain a generalized Ginzburg-Landau free energy that approximates the microscopic model better. We prove that the resulting extended Ginzburg-Landau functional does not support a superconducting state since it does not have any solutions in the form of free energy minima.

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Ring solitons and soliton sacks in imbalanced fermionic systems

Cited by 17 publications

References 50 publications

Disordered structures in ultracold spin-imbalanced Fermi gas

Disordered structures in ultracold spin-imbalanced Fermi gas

Vortex lattice in spin-imbalanced unitary Fermi gas

The absence of superconductivity in the next-to-leading order Ginzburg-Landau functional for Bardeen-Cooper-Schrieffer superconductor

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