Emergence of $p+ip$ superconductivity in $2$D strongly correlated Dirac fermions

Abstract

Searching for $p+ip$ superconducting(SC) state has become a fascinating subject in condensed matter physics, as a dream application awaiting in topological quantum computation. In this paper, we report a theoretical discovery of a $p+ip$ SC ground state (coexisting with ferromagnetic order) in honeycomb lattice Hubbard model with infinite repulsive interaction at low doping($\delta <0.2$), by using both the state-of-art Grassmann tensor product state(GTPS) approach and a quantum field theory approach. Our discovery suggests a new mechanism for $p+ip$ SC state in generic strongly correlated systems and opens a new door towards experimental realization. The $p+ip$ SC state has an instability towards a potential non-Fermi liquid with a large but finite $U$. However, a small Zeeman field term stabilizes the $p+ip$ SC state. Relevant realistic materials are also proposed.

7 pages, 5 figures

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Cited by in corpus (6)

• Stripe order in the doped Hubbard model on the honeycomb lattice
• Competing orders in the honeycomb lattice $t$-$J$ model
• Sign problem free quantum Monte-Carlo study on thermodynamic properties and magnetic phase transitions in orbital-active itinerant ferromagnets
• Stripe versus superconductivity in the doped Hubbard model on the honeycomb lattice
• Efficient iPEPS Simulation on the Honeycomb Lattice via QR-based CTMRG
• Grassmann tensor networks