Mean-field description of odd-frequency superconductivity with staggered ordering vector

Abstract

A low-energy fixed-point Hamiltonian is constructed for the s-wave odd-frequency pairing state with staggered ordering vector in the two-channel Kondo lattice. The effective model is justified because it reproduces low-energy behaviors of self energy obtained by the dynamical mean-field theory. The retardation effect is essential for the odd-frequency pairing, which comes from the hybridization process between conduction electrons and pseudofermions originating from localized spins at low energies. Using the effective Hamiltonian, the electromagnetic response functions are microscopically calculated. The present system shows the "weak" Meissner effect, where both paramagnetic and diamagnetic parts contribute to the Meissner kernel to give a small total diamagnetic response in the superconducting state. This feature is in contrast to the ordinary s-wave BCS pairing where only the diamagnetic kernel is finite in the ground state. The staggered nature of the odd-frequency order parameter plays an important role for the sign of the Meissner kernel.

12 pages, 6 figures

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Cited by in corpus (9)

• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• Electronic multipoles and multiplet pairs induced from Pomeranchuk and Cooper instabilities of Bogoliubov Fermi surfaces
• Collective excitations from composite orders in Kondo lattice with non-Kramers doublets
• Mass-Imbalanced Superconductivity in Effective Two-Channel Kondo Lattice
• Mixing of odd- and even-frequency pairings in strongly correlated electron systems under magnetic field
• Vortex bound state of Kondo lattice coupled to compensated metal
• Topological ground state degeneracy of the two-channel Kondo lattice
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Diamagnetic Meissner response of odd-frequency superconducting pairing from quantum geometry