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arXiv:0707.1392 · Physical Review B

Doped valence-bond solid and superconductivity on the Shastry-Sutherland lattice

Bohm‐Jung Yang, Yong Baek Kim, Jaejun Yu, Kwon Park

Published Mar 5, 2008• 13 citations
arXivHTMLPDF

Abstract

Motivated by recent experiments on $\mathrm{Sr}{\mathrm{Cu}}_{2}{(\mathrm{B}{\mathrm{O}}_{3})}_{2}$, we investigate the ground states of the doped Mott insulator on the Shastry-Sutherland lattice. To provide a unified theoretical framework for both the valence-bond solid state found in undoped $\mathrm{Sr}{\mathrm{Cu}}_{2}{(\mathrm{B}{\mathrm{O}}_{3})}_{2}$ and the doped counterpart being pursued in on-going experiments, we analyze the $t\text{\ensuremath{-}}J\text{\ensuremath{-}}V$ model via the bond-operator formulation. It is found that superconducting states emerge upon doping with their properties crucially depending on the underlying valence-bond order. Implications to future experiments are discussed.

DOI
10.1103/physrevb.77.104507

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In this Letter, we study the superconductivity and non-Fermi liquid transport behavior in a doped valence bond solid insulator using sign-problem-free quantum Monte Carlo simulation. We show superconductivity emerges as a function of doping. For a wide temperature range above the superconducting Tc{T}_{c}Tc​, a pseudogap exists. Moreover, close to the valence bond solid to semimetal quantum critical point at half filling, we observe linear temperature resistivity when doping is nonzero.
The emergence of superconductivity in doped Mott insulators has been debated for decades. In this paper, we report the theoretical discovery of a time-reversal symmetry breaking superconducting ground state in the doped Mott insulator (described by the well known ttt-JJJ model) on honeycomb lattice, based on a recently developed variational method: the Grassmann tensor product state approach. As a benchmark, we use exact diagonalization and density-matrix renormalization methods to check our results on small clusters. We find systematic consistency for the ground-state energy as well as other physical quantities, such as the staggered magnetization. At low doping, the superconductivity coexists with antiferromagnetic ordering.