Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids

Abstract

We study the orbital angular momentum (OAM) $L_z$ in two dimensional chiral $(p_x+i{p}_y{)}^{\nu }$-wave superfluids (SF) of $N$ fermions on a disc at zero temperature, in terms of spectral asymmetry and spectral flow. It is shown that $L_z=\nu N/2$ for any integer $\nu$, in the BEC regime. In contrast, in the BCS limit, while the OAM is $L_z=N/2$ for the $p+ip$-wave SF, for chiral SF with $\nu \ge 2$, the OAM is remarkably suppressed as $L_z=N\times O({\Delta }_0/{\epsilon }_F)\ll N$, where ${\Delta }_0$ is the gap amplitude and ${\epsilon }_F$ is the Fermi energy. We demonstrate that the difference between the $p+ip$-wave SF and the other chiral SFs in the BCS regimes originates from the nature of edge modes and related depairing effects.

arXiv comment5 pages + 4 pages supplemental material

References in corpus (19)

• Topological Insulators
• Topological insulators and superconductors
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Topological confinement in bilayer graphene
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Well-localized edge states in two-dimensional topological insulators: ultrathin Bi films
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• Exotic Superconducting Properties in the Electron-Hole Compensated Heavy Fermion `Semimetal' URu2Si2
• Limits on Superconductivity-Related Magnetization in Sr${}_2$RuO${}_4$ and PrOs${}_4$Sb${}_{12}$ from Scanning SQUID Microscopy
• Superconductivity in the Honeycomb-Lattice Pnictide SrPtAs
• Surface States, Edge Currents and the Angular Momentum of Chiral p-wave Superfluids
• Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance
• Vanishing edge currents in non-$p$-wave topological chiral superconductors
• Effective theory of chiral two-dimensional superfluids
• Mass flows and angular momentum density for $p_x+i{p}_y$ paired fermions in a harmonic trap
• Abelian Chern-Simons Term in Superfluid 3He-A
• Edge mass current and roles of Majorana Fermions in superfluid 3He A-phase
• Bulk angular momentum and Hall viscosity in chiral superconductors

Cited by in corpus (51)

• Chiral Superconductors
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Large Chern Number and Edge Currents in Sr2RuO4
• Quantum anomalous vortex and Majorana zero mode in iron-based superconductor Fe(Te,Se)
• Spontaneous supercurrent and $\varphi$0 phase shift parallel to magnetized topological insulator interfaces
• Spontaneous edge current in a small chiral superconductor with a rough surface
• Possible three-dimensional nematic odd-parity superconductivity in Sr${}_2$RuO${}_4$
• Probing topological superconductors with emergent gravity
• Superconducting pairing in Sr${}_2$RuO${}_4$ from weak to intermediate coupling
• Influence of the impurity scattering on charge transport in unconventional superconductor junctions
• Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UP}{\mathrm{t}}_3$
• Current fluctuations in unconventional superconductor junctions with impurity scattering
• Leggett modes and multi-band superconductivity in Sr2RuO4
• Topological order, symmetry, and Hall response of two-dimensional spin-singlet superconductors
• Multiply quantized vortices in fermionic superfluids: angular momentum, unpaired fermions, and spectral asymmetry
• Edge current and orbital angular momentum of chiral superfluids revisited
• Spontaneous Edge Current in Higher Chirality Superconductors
• ${}^3$He Universe 2020
• Ground state angular momentum, spectral asymmetry, and topology in chiral superfluids and superconductors
• Local observation of linear-$T$ superfluid density and anomalous vortex dynamics in URu${}_2$Si${}_2$
• Coreless vortices as direct signature of chiral $d$-wave superconductivity
• Surface magnetism in a chiral d-wave superconductor with hexagonal symmetry
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Orbital angular momentum in a nonchiral topological superconductor
• Topology of chiral superfluid: skyrmions, Weyl fermions and chiral anomaly
• Equilibrium Surface Current and Role of U(1) Symmetry: sum rule and surface perturbations
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Non-thermodynamic nature of the orbital angular momentum in neutral fermionic superfluids
• A review of some new perspectives on the theory of superconducting Sr${}_2$RuO${}_4$
• Time-reversal symmetry breaking superconductivity in hole-doped monolayer MoS${}_2$
• Floquet vortex states induced by light carrying the orbital angular momentum
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Enhanced chiral edge currents and orbital magnetic moment in chiral $d$-wave superconductors from mesoscopic finite-size effects
• Intrinsic Angular Momentum and Intrinsic Magnetic Moment of Chiral Superconductor on Two-Dimensional Square Lattice
• Chiral vortical effect generated by chiral anomaly in vortex-skyrmions
• Orbital Edelstein effect of electronic itinerant orbital motion at edges
• Topological Superfluids
• Directly Detecting the Edge Current in a $p_x+i{p}_y$ Topological Superfluid
• Interband interference effects at the edge of a multiband chiral p-wave superconductor
• Spontaneous surface current in multi-component cubic superconductors with time-reversal symmetry breaking
• Strong-coupling approach to temperature dependence of competing orders of superconductivity: Possible time-reversal symmetry breaking and nontrivial topology
• Quantized polarization in a generalized Rice-Mele model at arbitrary filling
• Laser pulse probe of chirality of Cooper pairs
• Fulde-Ferrell state in ferromagnetic chiral superconductor with magnetic domain wall
• Geometric and computational aspects of chiral topological quantum matter
• Spontaneous edge corner currents in $s+is$ superconductors and time reversal symmetry breaking surface states
• Orbital angular momentum in a topological superconductor with Chern number higher than $1$
• Examining the possibility of chiral superconductivity in Sr${}_2$RuO${}_4$ and other compounds via applied supercurrent
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors
• Chiral Current Inversion Induced by Flat-Band Andreev Bound States
• Vortices in Two-Dimensional Chiral Superfluids