Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical SrCu${}_2$(BO${}_3$)${}_2$

Abstract

We study a possible deconfined quantum phase transition in a realistic model of a two-dimensional Shastry-Sutherland quantum magnet, using both numerical and field theoretic techniques. Using the infinite density matrix renormalization group (iDMRG) method, we verify the existence of an intermediate plaquette valence bond solid (pVBS) order, with two fold degeneracy, between the dimer and Néel ordered phases. We argue that the quantum phase transition between the Néel and pVBS orders may be described by a deconfined quantum critical point (DQCP) with an emergent O(4) symmetry. By analyzing the correlation length spectrum obtained from iDMRG, we provide evidence for the DQCP and emergent O(4) symmetry in the lattice model. Such a phase transition has been reported in the recent pressure tuned experiments in the Shastry-Sutherland lattice material $\mathrm{SrC}{\mathrm{u}}_2(\mathrm{B}{\mathrm{O}}_3{)}_2$. The non-symmorphic lattice structure of the Shastry-Sutherland compound leads to extinction points in the scattering, where we predict sharp signatures of a DQCP in both the phonon and magnon spectra associated with the spinon continuum. The effect of weak interlayer couplings present in the three dimensional material is also discussed. Our results should help guide the experimental study of DQCP in quantum magnets.

arXiv comment22 pages, 6 tables, 15 figures; in v2 numerical details added in appendix

References in corpus (64)

• The density-matrix renormalization group in the age of matrix product states
• Quantum Spin Liquids
• "Deconfined" quantum critical points
• Quantum Orders and Symmetric Spin Liquids
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Deconfined quantum critical points: symmetries and dualities
• Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J1-J2 Square Heisenberg Model
• Algebraic spin liquid as the mother of many competing orders
• Emergent Photons and New Transitions in the O(3) Sigma Model with Hedgehog Suppression
• Quantum criticality with two length scales
• Quantum Phase Transitions in the Shastry-Sutherland Model for $\mathbf{SrC}{\mathbf{u}}_2(\mathbf{B}{\mathbf{O}}_3{)}_2$
• Competing orders, non-linear sigma models, and topological terms in quantum magnets
• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Antiferromagnetic to valence-bond-soild transitions in two-dimensional SU(N) Heisenberg models with multi-spin interactions
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• Tensor network study of the Shastry-Sutherland model in zero magnetic field
• Emergent $SO(5)$ Symmetry at the Néel to Valence-Bond-Solid Transition
• Critical level crossings and gapless spin liquid in the square-lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg antiferromagnet
• Ground-State Phase Diagram of Quantum Heisenberg Antiferromagnets on the Anisotropic Dimerized Square Lattice
• Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• Intrinsic and emergent anomalies at deconfined critical points
• Observation of a 4-spin Plaquette Singlet State in the Shastry-Sutherland compound SrCu2(BO3)2
• Exploring frustrated spin-systems using Projected Entangled Pair States (PEPS)
• Deconfined quantum criticality and Neel order via dimer disorder
• Many-body spin Berry phases emerging from the $\pi$-flux state: antiferromagnetic/valence-bond-solid competition
• Constructing gapless spin liquid state for the spin-1/2 J1-J2 Heisenberg model on a square lattice
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Fate of CP(N-1) fixed points with q-monopoles
• Possibility of Deconfined Criticality in SU(N) Heisenberg Models at Small N
• Néel to valence-bond solid transition on the honeycomb lattice: Evidence for deconfined criticality
• Conformal Bootstrap Dashing Hopes of Emergent Symmetry
• Classification and Description of Bosonic Symmetry Protected Topological Phases with semiclassical Nonlinear Sigma models
• Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
• Phase Diagram of the quadrumerized Shastry-Sutherland Model
• Quantum Phases of the Shastry-Sutherland Antiferromagnet
• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Superconductivity from the Condensation of Topological Defects in a Quantum Spin-Hall Insulator
• $U(1)$-symmetric infinite projected entangled-pair state study of the spin-$1/2$ square $J_1-J_2$ Heisenberg model
• Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry
• Emergence of U(1) symmetry in the 3D XY model with Zq anisotropy
• Transfer Matrices and Excitations with Matrix Product States
• A simple fermionic model of deconfined phases and phase transitions
• Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
• Symmetry enhanced first-order phase transition in a two-dimensional quantum magnet
• Error estimates for extrapolations with matrix-product states
• Emergence and spontaneous breaking of approximate O(4) symmetry at a weakly first-order deconfined phase transition
• Nonlinear Sigma model method for the J1-J2 Heisenberg model: disordered ground state with plaquette symmetry
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Half-filled Landau levels: a continuum and sign-free regularization for 3D quantum critical points
• Continuous easy-plane deconfined phase transition on the kagome lattice
• From Bosonic Topological Transition to Symmetric Fermion Mass Generation
• A Novel Ordered Phase in SrCu2(BO3)2 under High Pressure
• Deconfined Quantum Critical Point on the Triangular Lattice
• Scaling dimensions of higher-charge monopoles at deconfined critical points
• Example of a first-order Néel to Valence-Bond-Solid transition in two-dimensions
• Ground-State Phase Diagram for the Three-Dimensional Orthogonal-Dimer System
• Stripe melting, a transition between weak and strong symmetry protected topological phases
• Third boundary of the Shastry-Sutherland Model by Numerical Diagonalization
• Critical behavior in the cubic dimer model at nonzero monomer density
• Quantum Phase Transition in the Four-Spin Exchange Antiferromagnet

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• Deconfined criticality as intrinsically gapless topological state in one dimension
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• Crystallography-driven molecularization of a two-dimensional spin-$3/2$ magnet
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