Geometric Induction in Chiral Superfluids

Abstract

We explore the properties of chiral superfluid thin films coating a curved surface. Due to the vector nature of the order parameter, a geometric gauge field emerges and leads to a number of observable effects such as anomalous vortex-geometric interaction and curvature-induced mass/spin supercurrents. We apply our theory to several well-known phases of chiral superfluid ${}^3\mathrm{He}$ and derive experimentally observable signatures. We further discuss the cases of flexible geometries where a soft surface can adapt itself to compensate for the strain from the chiral superfluid. The proposed interplay between geometry and chiral superfluid order provides a fascinating avenue to control and manipulate quantum states with strain.

arXiv comment6+11 pages, 4 figures

References in corpus (46)

• Topological Insulators
• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Berry Phase Effects on Electronic Properties
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• New directions in the pursuit of Majorana fermions in solid state systems
• Search for Majorana fermions in superconductors
• Two-Dimensional Matter: Order, Curvature and Defects
• Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
• Chiral P-Wave Order in Sr_2RuO_4
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Elastic Gauge Fields in Weyl Semimetals
• Vortices in Superfluid Films on Curved Surfaces
• Spin transverse force on spin current in an electric field
• Persistent spin and mass currents and Aharonov-Casher effect
• Anomalous coupling between topological defects and curvature
• Surface States, Edge Currents and the Angular Momentum of Chiral p-wave Superfluids
• Pseudo-electromagnetic fields in topological semimetals
• Stability of half-quantum vorticies in p_x+ip_y superconductors
• Flexural mode of graphene on a substrate
• Role of the vortex-core energy on the Beresinkii-Kosterlitz-Thouless transition in thin films of NbN
• Curvature-Induced Defect Unbinding in Toroidal Geometries
• Emergent spacetime and gravitational Nieh-Yan anomaly in chiral $p+ip$ Weyl superfluids and superconductors
• Effective theory of chiral two-dimensional superfluids
• Topological Defects on Fluctuating Surfaces: General Properties and the Kosterlitz-Thouless Transition
• Crystalline Order On Riemannian Manifolds With Variable Gaussian Curvature And Boundary
• Nieh-Yan Anomaly: Torsional Landau Levels, central charge and anomalous thermal Hall effect
• Curved spacetime theory of inhomogeneous Weyl materials
• Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation
• Majorana bound state in rotating superfluid 3He-A between parallel plates
• Strain and ferroelectric soft mode induced superconductivity in strontium titanate
• Chirality of superfluid 3He-A
• Vesicle shape, molecular tilt, and the suppression of necks
• Probing topological superconductors with emergent gravity
• Proposed Spontaneous Generation of Magnetic Fields by Curved Layers of a Chiral Superconductor
• Bulk angular momentum and Hall viscosity in chiral superconductors
• The Euler current and relativistic parity odd transport
• Geometric Induction in Chiral Superconductors
• Geometric Josephson effects in chiral topological nanowires
• Boundary central charge from bulk odd viscosity - chiral superfluids
• Edge current and orbital angular momentum of chiral superfluids revisited
• Chiral $p\pm ip$ superfluid on a sphere
• Orbital magnetic dynamics in chiral p-wave superconductors
• Theory for electric dipole superconductivity with an application for bilayer excitons
• Numerical study of the stability regions for half-quantum vortices in superconducting Sr2RuO4
• Hall viscosity in the A-phase of superfluid ${}^3$He