Dynamics and Instabilities of the Shastry-Sutherland Model

Abstract

We study the excitation spectrum in the dimer phase of the Shastry-Sutherland model by using an unbiased variational method that works in the thermodynamic limit. The method outputs dynamical correlation functions in all possible channels. This output is exploited to identify the order parameters with the highest susceptibility (single or multitriplon condensation in a specific channel) upon approaching a quantum phase transition in the magnetic field versus the $J^{\prime }/J$ phase diagram. We find four different instabilities: antiferro spin nematic, plaquette spin nematic, stripe magnetic order, and plaquette order, two of which have been reported in previous studies.

10 pages, 15 figures

References in corpus (10)

• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Hall effect of triplons in a dimerized quantum magnet
• Incomplete devil's staircase in the magnetization curve of SrCu2(BO3)2
• Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice
• Microscopic mechanism for the 1/8 magnetization plateau in SrCu_2(BO_3)_2
• Correlated decay of triplet excitations in the Shastry-Sutherland compound SrCu${}_2$(BO${}_3$)${}_2$
• In-Gap Spin Excitations and Finite Triplet Lifetimes in the Dilute Singlet Ground State System SrCu(2-x)Mgx(BO3)2
• Chiral liquid phase of simple quantum magnets
• Semiclassical analysis of a magnetization plateau in a 2D frustrated ferrimagnet
• Spin-polaron excitations in a doped Shastry-Sutherland model

Cited by in corpus (20)

• Phase diagram of the Shastry-Sutherland Compound SrCu2(BO3)2 under extreme combined conditions of field and pressure
• Degeneracy of the 1/8 plateau and antiferromagnetic phases in the Shastry-Sutherland magnet TmB4
• Sign-switching of dimer correlations in SrCu${}_2$(BO${}_3$)${}_2$ under hydrostatic pressure
• Third boundary of the Shastry-Sutherland Model by Numerical Diagonalization
• Field-induced bound-state condensation and spin-nematic phase in SrCu${}_2$(BO${}_3$)${}_2$ revealed by neutron scattering up to 25.9 T
• Fractional magnetization plateaux of a spin-1/2 Heisenberg model on the Shastry-Sutherland lattice: effect of quantum XY interdimer coupling
• Magnetic phase separation in a frustrated ferrimagnetic chain under a magnetic field
• Magnetically hidden state on the ground floor of the magnetic Devil's staircase
• Negative Thermal Hall Conductance in Two-Dimer Shastry-Sutherland Model with π-flux Dirac Triplon
• Spin nematics in frustrated spin-dimer systems with bilayer structure
• Abundant quadrupolar or nematic phases driven by the Heisenberg interactions in a spin-1 dimer system forming a bilayer
• Possible Observation of Quadrupole Waves in Spin Nematics
• Neural Network Quantum States analysis of the Shastry-Sutherland model
• Triplons, triplon pairs and dynamical symmetries in laser-driven Shastry-Sutherland magnets
• Anomalous thermal broadening in the Shastry-Sutherland model and SrCu${}_2($BO${}_3{)}_2$
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Insulator-metal transition and quasi-flat-band of Shastry-Sutherland lattice
• Magnetization of Antiferromagnetic Cactus Graph Model with Exact Dimer Ground State
• Quantum entanglement of XY-type spin dimers in Shastry-Sutherland lattice
• Numerical Diagonalization Study of the Phase Boundaries of the S=2 Heisenberg Antiferromagnet on the Orthogonal Dimer Lattice