Abstract

Shedding light on the nature of spin-triplet superconductivity has been a long-standing quest in condensed matter physics since the discovery of superfluidity in liquid 3He. Nevertheless, the mechanism of spin-triplet pairing is much less understood than that of spin-singlet pairing explained by the Bardeen-Cooper-Schrieffer theory or even observed in high-temperature superconductors. Here we propose a versatile mechanism for spin-triplet superconductivity which emerges through a melting of macroscopic spin polarization stabilized in weakly coupled odd-gon (e.g., triangle, pentagon, etc) systems. We demonstrate the feasibility of sustaining spin-triplet superconductivity with this mechanism by considering a new class of quasi-one-dimensional superconductors A2Cr3As3 (A = K, Rb, and Cs). Furthermore, we suggest a simple effective model to easily illustrate the adaptability of the mechanism to general systems consisting of odd-gon units. This mechanism provides a rare example of superconductivity from on-site Coulomb repulsion.

Highlights

  • Shedding light on the nature of spin-triplet superconductivity has been a long-standing quest in condensed matter physics since the discovery of superfluidity in liquid 3He

  • A d-wave spin-singlet superconductivity is most likely at low fields for (TMTSF)2X; it has been suggested that there exists a phase transition or crossover to either a

  • We proposed a universal mechanism for spin-triplet superconductivity (SC) in a coupled odd-gons Hubbard system

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Summary

Ferromagnetic Mechanism

Before performing the numerical analysis, we explain the FM mechanism which is generalized via a spin-triplet formation of two fermions in an isolated odd-gon Hubbard ring. When the spins of two fermions are parallel, namely in a spin-triplet state, the correlation term ′ vanishes. We find that Et is always lower than Es for U > 0 This immediately confirms the emergence of attractive interaction between two fermions in a spin-triplet state. Note that the total energy of a spin-triplet state with anti-parallel spins is Et since the Hamiltonian (1) has the SU(2) symmetry. Since the weak- and strong-coupling regimes are expected to be smoothly connected, a spin-triplet state would be always the ground state for any odd lo at U > 0. This type of a spin-triplet formation has been frequently discussed in the open-shell problem of a finite-size cluster.

Numerical Calculations
Stot defined
Normalized total spin Stot and binding energy ΔB at n
Effective Model
At n dom
Pairing Symmetry
Conclusion and Discussion
Additional Information

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