Competing Orders and Superconductivity in the Doped Mott Insulator on the Shastry-Sutherland Lattice

Abstract

Quantum antiferromagnets on geometrically frustrated lattices often allow a number of unusual paramagnetic ground states. The fate of these Mott insulators upon doping is an important issue that may shed some light on the high $T_c$ cuprate problem. We consider the doped Mott insulator on the Shastry-Sutherland lattice via the t-J model. The U(1) slave-boson mean field theory reveals the strong competition between different broken symmetry states. It is found that, in some ranges of doping, there exist superconducting phases with or without coexisting translational-symmetry- breaking orders such as the staggered flux or dimerization. Our results will be directly relevant to SrCu${}_2$(BO${}_3$)${}_2$ when this material is doped in future.

arXiv comment4 pages, 3 figures

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• Hidden Order in the Cuprates
• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Experimental realization of a 2D fractional quantum spin liquid
• Large N expansion for frustrated and doped quantum antiferromagnets
• Quantum Phase Transitions in the Shastry-Sutherland Model for $\mathbf{SrC}{\mathbf{u}}_2(\mathbf{B}{\mathbf{O}}_3{)}_2$
• Direct Evidence for the Localized Single-Triplet Excitations and the Dispersive Multi-Triplets Excitations in SrCu2(BO3)2
• Competing orders and quantum criticality in doped antiferromagnets
• Quantum Phases of the Shastry-Sutherland Antiferromagnet
• Statistics of spinons in the spin-liquid phase of Cs2CuCl4
• $SrC{u}_2(B{O}_3{)}_2$: A Unique Mott Hubbard Insulator
• Field theory for generalized Shastry-Sutherland models

Cited by in corpus (12)

• In-Gap Spin Excitations and Finite Triplet Lifetimes in the Dilute Singlet Ground State System SrCu(2-x)Mgx(BO3)2
• Quantum phases in a doped Mott insulator on the Shastry-Sutherland lattice
• Emergent Bound States and Impurity Pairs in Chemically Doped Shastry-Sutherland System
• Doping Effects on the two-dimensional Spin Dimer Compound $SrC{u}_2(B{O}_3{)}_2$
• Mott transition and Antiferromagnetic Metal on Shastry-Sutherland Lattice
• Impurity-induced singlet breaking in SrCu2(BO3)2
• Doped Valence Bond Solid and Superconductivity on the Shastry-Sutherland Lattice
• Unconventional Superconducting Symmetry in a Checkerboard Antiferromagnet
• Spin-polaron excitations in a doped Shastry-Sutherland model
• Intermediate valence in single crystalline Yb${}_2$Si${}_2$Al
• In-plane substitution effect on the magnetic properties of two-dimensional Spin-gap system SrCu${}_2$(BO${}_3$)${}_2$
• Insulator-metal transition and quasi-flat-band of Shastry-Sutherland lattice