Superfluid Phases of 3He in a Periodic Confined Geometry

Wiman, Joshua; Sauls, J. A.

doi:10.1007/s10909-013-0924-4

Cited by 16 publications

(19 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Boundary conditions for the order parameter in the A-phase were proposed in [15], and suppression of the transition temperature calculated [16], based on de Gennes' formulation of inhomogeneous superfluidity in terms of semiclassical correlation functions. Later investigation of superfluid phases in slabs and cylindrical pores used Ginzburg-Landau (GL) approach [17][18][19][20]. Properties of the superflow and NMR responses of confined 3 He were calculated [21].…”

Section: Surface Bound States Near Surfaces and In Domain Wallsmentioning

confidence: 99%

Andreev bound states in superconducting films and confined superfluid ³ He

Vorontsov

2018

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

This paper reviews confinement-driven phase transitions in superconductors and Bardeen-Cooper-Schrieffer superfluids, and the appearance in thin films of new phases that break the time-reversal or translational symmetry. The origins of the new phases are closely tied to the Andreev scattering processes involving particle-hole conversions that create surface quasiparticle states with energies inside the superconducting gap. Restructuring of the low-energy spectrum in the surface region of several coherence lengths results in large spatial variations of the superconducting order parameter. In confined geometry, such as slabs, films, pores or nano-dots, with one or more physical dimensions∼10, the Andreev bound states can dominate properties of a superconductor, leading to modified experimental signatures. They can significantly change the energy landscape, and drive transitions into new superconducting phases. The new phases are expected in a variety of materials, from singlet -wave superconductors to multi-component triplet superfluidHe, but properties of the new phases will depend on the symmetry of the parent state. I will highlight the connection between the Andreev surface states and confinement-stabilized phases with additional broken symmetries, describe recent progress and open questions in the theoretical and experimental investigation of superfluids in confined geometry.This article is part of the theme issue 'Andreev bound states'.

show abstract

Section: Surface Bound States Near Surfaces and In Domain Wallsmentioning

confidence: 99%

Andreev bound states in superconducting films and confined superfluid ³ He

Vorontsov

2018

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

show abstract

“…[It has recently been shown that the polar phase is stabilized in nematic aerogels, and furthermore stabilizes halfquantum-vortices [130]]. At lower temperatures a new variant of the B-phase with four-fold symmetry is predicted [129]. On the other hand in narrow channels the following sequence of phases is predicted [131]: chiral-A; chiral/polar with periodic domain walls; polar.…”

Section: Order Parameter Sculpturementioning

confidence: 99%

“…Periodic array of posts to stabilize polar phase, and a variant of B-phase with four-fold symmetry[129].…”

mentioning

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

View full text Add to dashboard Cite

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).

show abstract

“…However it is an open question whether confinement may rather stabilize the planar phase, which is degenerate with the chiral A-phase in the weak coupling limit, due to the effects of dimensionality of strong coupling effects of spinfluctuation mediated pairing. Recent theoretical work has also demonstrated that the pairing symmetry is naturally influenced by placing the superfluid within a lithographically defined periodic structure (for appropriate small periodicities) stabilizing several new phases [56].…”

Section: Superfluidmentioning

confidence: 99%