Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators

Abstract

The topological superconducting state is a highly sought-after quantum state hosting topological order and Majorana excitations. In this work, we explore the mechanism to realize the topological superconductivity (TSC) in the doped Mott insulators with time-reversal symmetry (TRS). Through large-scale density matrix renormalization group study of an extended triangular-lattice $t$-$J$ model on the six- and eight-leg cylinders, we identify a $d+id$-wave chiral TSC with spontaneous TRS breaking, which is characterized by a Chern number $C=2$ and quasi-long-range superconducting order. We map out the quantum phase diagram by tuning the next-nearest-neighbor (NNN) electron hopping and spin interaction. In the weaker NNN-coupling regime, we identify a pseudogaplike phase with a charge stripe order coexisting with fluctuating superconductivity, which can be tuned into $d$-wave superconductivity by increasing the doping level and system width. The TSC emerges in the intermediate-coupling regime, which has a transition to a $d$-wave superconducting phase with larger NNN couplings. The emergence of the TSC is driven by geometrical frustrations and hole dynamics which suppress spin correlation and charge order, leading to a topological quantum phase transition.

6+12 pages, 5+11 figures

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• Sign structure of the $t$-$t^{\prime }$-$J$ model and its physical consequences
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• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Superconductivity in doped triangular Mott insulators: the roles of parent spin backgrounds and charge kinetic energy
• Chiral superconductivity in the doped triangular-lattice Fermi-Hubbard model in two dimensions
• Enhanced chiral edge currents and orbital magnetic moment in chiral $d$-wave superconductors from mesoscopic finite-size effects
• Intertwined Orders and the Physics of High Temperature Superconductors
• Phase Diagram of the Square-Lattice $t$-$J$-$V$ Model for Electron-Doped Cuprates
• Tuning competition between charge order and superconductivity in the square-lattice $t$-$t^{\prime }$-$J$ model
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Ground-State Properties of the $t$-$J$ Model for the CuO Double-Chain Structure
• Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping
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• Long-range bipartite entanglement in XXZ spin chains with the exponential and power-law long-range interactions
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors