Symmetry, nodal structure, and Bogoliubov Fermi surfaces for nonlocal pairing

Abstract

Multiband effects can lead to fundamentally different electronic behavior of solids, as exemplified by the possible emergence of Fermi surfaces of Bogoliubov quasiparticles in centrosymmetric superconductors which break time-reversal symmetry. We extend the analysis of possible pairing symmetries, the corresponding nodal structure, and the Bogoliubov Fermi surfaces in two directions: We include nonlocal pairing and we consider internal degrees of freedom other than the effective angular momentum of length $j=3/2$ examined so far. Since our main focus is on the Bogoliubov Fermi surfaces we concentrate on even-parity pairing. The required symmetry analysis is illustrated for several examples, as a guide for the reader. We find that the inclusion of nonlocal pairing leads to a much larger range of possible pairing symmetries. For infinitesimal pairing strength, we find a simple yet powerful criterion for nodes in terms of a scalar product of form factors.

30+ pages, 1 figure

References in corpus (13)

• Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
• Topological surface states in nodal superconductors
• Superconductivity in three-dimensional spin-orbit coupled semimetals
• Topological Blount's theorem of odd-parity superconductors
• Inflated nodes and surface states in superconducting half-Heusler compounds
• Theory of optical responses in clean multi-band superconductors
• Exceeding the Landau superflow speed limit with topological Bogoliubov Fermi surfaces
• Bogoliubov-Fermi Surfaces in Noncentrosymmetric Multicomponent Superconductors
• Majorana surface modes of nodal topological pairings in spin-$\frac{3}{2}$ semi-metals
• Superconductivity in spin-$3/2$ systems: symmetry classification, odd-frequency pairs, and Bogoliubov Fermi surfaces
• Electronic multipoles and multiplet pairs induced from Pomeranchuk and Cooper instabilities of Bogoliubov Fermi surfaces
• Distortional weak-coupling instability of Bogoliubov Fermi surfaces
• Bogoliubov-Fermi surface with inversion symmetry and electron-electron interactions: relativistic analogies and lattice theory

Cited by in corpus (19)

• Type-II Weyl semimetal vs gravastar
• Electronic structure of the surface superconducting Weyl semimetal PtBi${}_2$
• Bogoliubov Fermi surfaces from pairing of emergent $j=3/2$ fermions on the pyrochlore lattice
• Identifying Bogoliubov Fermi surfaces via thermoelectric response in a $d$-wave superconductor heterostructure
• Surface density of states and tunneling spectroscopy of a spin-3/2 superconductor with Bogoliubov Fermi Surfaces
• Stability of Bogoliubov Fermi Surfaces within BCS Theory
• Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries
• Impurity effect on Bogoliubov Fermi surfaces: Analysis based on iron-based superconductors
• Topological nodal $i$-wave superconductivity in PtBi${}_2$
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• Ginzburg-Landau theory for unconventional surface superconductivity in PtBi${}_2$
• Helical Topological Superconducting Pairing at Finite Excitation Energies
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Intrinsic emergence of Majorana modes in Luttinger j=3/2 systems
• Altermagnetism Induced Bogoliubov Fermi Surfaces Form Topological Superconductivity
• Composite Superconducting Orders and Magnetism in CeRh${}_2$As${}_2$
• Thermoelectric effect in a superconductor with Bogoliubov Fermi surfaces
• Evolution and Instability of Bogoliubov Fermi Surfaces under Zeeman Field
• Beyond spin-1/2: Multipolar spin-orbit coupling in noncentrosymmetric crystals with time-reversal symmetry