Abstract

One of the most spectacular discoveries made in superfluid ^3He confined in a nanostructured material like aerogel or nafen was the observation of the destruction of the long-range orientational order by a weak random anisotropy. The quenched random anisotropy provided by the confining material strands produces several different glass states resolved in NMR experiments in the chiral superfluid ^3He-A and in the time-reversal-invariant polar phase. The smooth textures of spin and orbital order parameters in these glasses can be characterized in terms of the randomly distributed topological charges, which describe skyrmions, spin vortices and hopfions. In addition, in these skyrmion glasses the momentum-space topological invariants are randomly distributed in space. The Chern mosaic, Weyl glass, torsion glass and other exotic topological states are examples of close connections between the real-space and momentum-space topologies in superfluid ^3He phases in aerogel.

Highlights

  • The spin-triplet p-wave superfluid phases of liquid 3He [1] immersed in the aerogel matrix provide the arena for experimental and theoretical investigations of different types of spin and orbital orientational disorder, induced by the quenched orientational disorder of the aerogel strands

  • Journal of Low Temperature Physics (2019) 196:82–101 by a weak random anisotropy [4]—the so-called Larkin–Imry–Ma (LIM) effect [5–7]. This is the orbital glass state of the chiral superfluid 3HeA—the bulk 3D topological system with smooth disorder in the field of the orbital vectorl, which describes the orientation of the orbital magnetization of Cooper pairs in this chiral liquid

  • 2.1 Skyrmionic Topology of 2D Glass. Both the equilibrium LIM glasses emerging in magnets with random anisotropy or with random field and the quasiequilibrium skyrmionic glasses can be described in terms of the skyrmionic topological invariants

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Summary

Introduction

The spin-triplet p-wave superfluid phases of liquid 3He [1] immersed in the aerogel matrix provide the arena for experimental and theoretical investigations of different types of spin and orbital orientational disorder, induced by the quenched orientational disorder of the aerogel strands. All these possibilities, in addition to the fully equilibrium LIM state, give rise to a zoo of quasiequilibrium glass states with different types of the pinned topological excitations. In addition to the fully equilibrium LIM state, give rise to a zoo of quasiequilibrium glass states with different types of the pinned topological excitations These states can be obtained using different protocols, see Fig. 2. The spin-vortex glass states are obtained by cooling from the normal liquid to the polar phase under strong magnetic perturbations This spin glass can be represented as a chaotic system of spin vortices pinned by the aerogel.

Skyrmionic Topology of 2D Glass
Fluctuations of Topological Charges in 2D Skyrmion Glass
Topology of 3D Skyrmion Glasses
Fluctuations of Hopf Topological Charge in 3D Skyrmion Glass
Fluctuations of Q2 Topological Charge in 3D Skyrmion Glass
Glasses in Chiral Superfluids
Larkin–Imry–Ma Orbital Glass in Isotropic Aerogel
LIM Glass in Anisotropic Aerogel
Superfluidity of 3D Skyrmion Glass in 3He-A
Skyrme Superfluid Versus Skyrme Insulator
Cascade of LIM Processes
Skyrmion Spin Glass
Spin-Vortex Glass and Spin-Current Confinement
Glass of Half-Quantum Vortices
Discussion

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