Time-Reversal-Symmetry-Broken State in the BCS Formalism for a Multi-Band Superconductor

Abstract

In three-band BCS superconductors with repulsive interband interactions, frustration between the bands can lead to an inherently complex gap function, arising out of a phase difference between the bands in the range 0 and π. Since the complex conjugate of this state is also a solution, the ground state is degenerate, and there appears a time-reversal-symmetry-broken state. In this paper we investigate the existence of this state as a function of interband coupling strength and show how a new phase transition appears between the TRSB and conventional BCS states.

11 pages, 7 figures, Accepted for publication in J. Phys.: Condensed Matter

References in corpus (5)

• Ginzburg-Landau theory of vortices in a multi-gap superconductor
• Observation of Leggett's collective mode in a multi-band MgB2 superconductor
• Superfluid density and specific heat within self-consistent scheme for two-band superconductor
• Chiral CP^2 skyrmions in three-band superconductors
• Vortices and chirality in multi-band superconductors

Cited by in corpus (21)

• Using Gap Symmetry and Structure to Reveal the Pairing Mechanism in Fe-based Superconductors
• Cross-band versus intra-band pairing in superconductors: signatures and consequences of the interplay
• Anomalous diamagnetic response in multi-band superconductors with time-reversal broken symmetry
• Mechanism of High-Temperature Superconductivity in Correlated-Electron Systems
• Multiband strong-coupling superconductors with spontaneously broken time-reversal symmetry
• Time-reversal symmetry breaking in frustrated superconductor Re${}_2$Hf
• $H$-$T$ Phase Diagram of Multi-component Superconductors with Frustrated Inter-component Couplings
• Constrained weak-coupling superconductivity in multiband superconductors
• Fluctuation-induced Nambu-Goldstone bosons in a Higgs-Josephson model
• Massless and quantized modes of kinks in the phase space of superconducting gaps
• Time-reversal symmetry breaking in superconductors through loop super-current order
• Fractional Flux Plateau in Magnetization Curve of Multicomponent Superconductor Loop
• Time reversal symmetry breaking and s-wave superconductivity in CaPd2Ge2: A $\mu$SR study
• Nodeless time-reversal symmetry breaking in the centrosymmetric superconductor Sc${}_5$Co${}_4$Si${}_{10}$ probed by muon-spin spectroscopy
• In-plane magnetic field vs. temperature phase diagram of a quasi-2D frustrated multiband superconductor
• Fractional skyrmion and absence of low-lying Andreev bound states in a micro fractional-flux quantum vortex
• Extended Uniform Ginzburg-Landau Theory for Novel Multiband Superconductors
• Edge currents in frustrated Josephson junction ladders
• Collective excitations in three-band superconductors
• Unconventional and anomalous magnetic field distribution in a bilayer superconductor with geometric constraints
• Ginzburg-Landau surface energy of multiband superconductors: Derivation and application to selected systems