Instability of $j=3/2$ Bogoliubov Fermi-surfaces

Abstract

Exotic quantum phases including topological states and non-Fermi liquids may be realized by quantum states with total angular momentum $j=3/2$, as manifested in HgTe and pyrochlore iridates. Recently, an exotic superconducting state with non-zero density of states of zero energy Bogoliubov (BG) quasiparticles, Bogoliubov Fermi-surface (BG-FS), was also proposed in a centrosymmetric $j=3/2$ system, protected by a Z${}_2$ topological invariant. Here, we consider interaction effects of a centrosymmetric BG-FS and demonstrate its instability by using mean-field and renormalization group analysis. The Bardeen-Cooper-Schrieffer (BCS) type logarithmical enhancement is shown in fluctuation channels associated with inversion symmetry. Thus, we claim that the inversion symmetry instability is an intrinsic characteristic of a BG-FS under generic attractive interactions between BG quasiparticles. In drastic contrast to the standard BCS superconductivity, a Fermi-surface may generically survive even with the instability. We propose the experimental setup, a second harmonic generation experiment with a strain gradient, to detect the instability. Possible applications to iron based superconductors and heavy fermion systems including FeSe are also discussed.

arXiv comment18 pages, 7 figures; Updated version with improved presentation and figures. Few errors and typos are fixed

References in corpus (38)

• Topological Insulators
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Insulators with Inversion Symmetry
• Correlated quantum phenomena in the strong spin-orbit regime
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Are non-Fermi-liquids stable to Cooper pairing?
• Non-Fermi liquid and topological states with strong spin-orbit coupling
• Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
• Topological $R$PdBi half-Heusler semimetals: a new family of non-centrosymmetric magnetic superconductors
• Exotic Superconducting Properties in the Electron-Hole Compensated Heavy Fermion `Semimetal' URu2Si2
• Quadratic Fermi Node in a 3D Strongly Correlated Semimetal
• Beyond Triplet: Unconventional Superconductivity in a Spin-3/2 Topological Semimetal
• Pairing of j=3/2 fermions in half-Heusler superconductors
• Topological Mott insulator in three-dimensional systems with quadratic band touching
• Bogoliubov Fermi surfaces: General theory, magnetic order, and topology
• Quantum criticality in a metallic spin liquid
• Evidence for broken time-reversal symmetry in the superconducting phase of URu${}_2$Si${}_2$
• Superconductivity in three-dimensional spin-orbit coupled semimetals
• A New Type of Quantum Criticality in the Pyrochlore Iridates
• Topological superconductivity of spin-3/2 carriers in a three-dimensional doped Luttinger semimetal
• Pairing states of spin-3/2 fermions: Symmetry-enforced topological gap functions
• Inflated nodes and surface states in superconducting half-Heusler compounds
• Interacting line-node semimetal: Proximity effect and spontaneous symmetry breaking
• Unconventional Superconductivity in Luttinger Semimetals: Theory of Complex Tensor Order and the Emergence of the Uniaxial Nematic State
• Crystalline Nodal Topological Superconductivity and Bogolyubov Fermi Surfaces in Monolayer NbSe${}_2$
• Topological Ultranodal pair states in iron-based superconductors
• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• Experimental consequences of Bogoliubov Fermi surfaces
• Bogoliubov Fermi surfaces stabilized by spin-orbit coupling
• Emergent Anisotropic Non-Fermi Liquid at a Topological Phase Transition in Three Dimensions
• Disorder-enhanced topological protection and universal quantum criticality in a spin-3/2 topological superconductor
• Topological d+s wave superconductors in a multi-orbital quadratic band touching system
• Electronic multipoles and multiplet pairs induced from Pomeranchuk and Cooper instabilities of Bogoliubov Fermi surfaces
• Coulomb-induced instabilities of nodal surfaces
• Pressure and linear heat capacity in the superconducting state of thoriated UBe13
• Superconductivity from Coulomb repulsion in three-dimensional quadratic band touching Luttinger semimetals
• Multi-scale Quantum Criticality driven by Kondo-lattice Coupling in Pyrochlore Systems

Cited by in corpus (18)

• Bogoliubov-Fermi Surfaces in Noncentrosymmetric Multicomponent Superconductors
• Bogoliubov Fermi Surfaces in Spin-1/2 Systems: Model Hamiltonians and Experimental Consequences
• Symmetry, nodal structure, and Bogoliubov Fermi surfaces for nonlocal pairing
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Odd-frequency pairing inherent in Bogoliubov Fermi liquid
• Distortional weak-coupling instability of Bogoliubov Fermi surfaces
• Bogoliubov-Fermi surface with inversion symmetry and electron-electron interactions: relativistic analogies and lattice theory
• Using Disorder to Identify Bogoliubov Fermi-Surface States
• Identifying Bogoliubov Fermi surfaces via thermoelectric response in a $d$-wave superconductor heterostructure
• Nematic Bogoliubov Fermi surfaces from magnetic toroidal order in FeSe${}_{1-x}$S${}_x$
• Linking structures of doubly charged nodal surfaces in centrosymmetric superconductors
• Impurity effect on Bogoliubov Fermi surfaces: Analysis based on iron-based superconductors
• Triplet-Superconductivity in Triple-Band Crossings
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• p-wave superconductivity and the axi-planar phase of triple-point fermions
• Many-body selection rule for quasiparticle pair creations in centrosymmetric superconductors
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Evolution and Instability of Bogoliubov Fermi Surfaces under Zeeman Field