Stability of algebraic spin liquids coupled to quantum phonons

Abstract

Algebraic spin liquids are quantum disordered phases of insulating magnets which exhibit fractionalized gapless excitations and power-law correlations. Quantum spin liquids in this category include the experimentally established 1D Luttinger liquid, as well as the U(1) Dirac spin liquid (DSL) which has been a focus of recent candidate materials searches. Most notably, several exchange-frustrated Heisenberg materials on the triangular lattice have shown evidence of the U(1) DSL. In this work, we measure the algebraic correlations of spin-singlet excitations in the $J_1$-$J_2$ antiferromagnetic Heisenberg model on the triangular lattice, prompting a detailed investigation of this model's stability under spin-phonon coupling using variational Monte Carlo. As seen before in 1D spin chains, we observe a low-temperature transition from a U(1) DSL to valence bond order and predict the parameter regime where the model realizes a stable DSL ground state. To achieve this, we employ a series of finite-size scaling Ansätze inspired by the low-energy DSL's conformal description in terms of quantum electrodynamics, and show that emergent monopole operators drive the instability. We compare the physics of this transition to the 1D Luttinger liquid throughout our analysis. We derive the regime of stability against spin-Peierls ordering and argue that the DSL ground state might still be achievable in candidate materials, despite its tendency to valence bond solid ordering.

References in corpus (48)

• Quantum Spin Liquids
• "Deconfined" quantum critical points
• Quantum Spin Liquids
• Quantum Orders and Symmetric Spin Liquids
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• A Field Guide to Spin Liquids
• Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
• On the stability of U(1) spin liquids in two dimensions
• Properties of an algebraic spin liquid on the kagome lattice
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Algebraic spin liquid as the mother of many competing orders
• Wave function optimization in the variational Monte Carlo method
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Continuous quantum phase transition between an antiferromagnet and a valence-bond-solid in two dimensions; evidence for logarithmic corrections to scaling
• Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
• Electron spectral function and algebraic spin liquid for the normal state of underdoped high $T_c$ superconductors
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• Many-body spin Berry phases emerging from the $\pi$-flux state: antiferromagnetic/valence-bond-solid competition
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Phase diagram of a Heisenberg spin-Peierls model with quantum phonons
• Towards Bootstrapping QED${}_3$
• From spinon band topology to the symmetry quantum numbers of monopoles in Dirac spin liquids
• Symmetric $Z_2$ spin liquids and their neighboring phases on triangular lattice
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model in one dimension: the variational Monte Carlo approach
• Complete field-induced spectral response of the spin-1/2 triangular-lattice antiferromagnet CsYbSe${}_2$
• Field-Induced Spin Excitations in the Spin-1/2 Triangular-Lattice Antiferromagnet CsYbSe${}_2$
• Mean Field theory of the spin-Peierls transition
• Evidence of Dirac Quantum Spin Liquid in YbZn2GaO5
• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• Bootstrapping $N_f=4$ conformal QED${}_3$
• Numerical determination of monopole scaling dimension in parity-invariant three-dimensional non-compact QED
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Conformal bootstrap bounds for the $U(1)$ Dirac spin liquid and $N=7$ Stiefel liquid
• Spin-Peierls instability of the U(1) Dirac spin liquid
• Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain
• Effects of spin-phonon coupling in frustrated Heisenberg models
• Phases and Exotic Phase Transitions of a Two-Dimensional Su-Schrieffer-Heeger Model
• Variational wave functions for the spin-Peierls transition in the Su-Schrieffer-Heeger model with quantum phonons
• Monopole excitations in the $U(1)$ Dirac spin liquid on the triangular lattice
• Twisted bilayer U(1) Dirac spin liquids
• Spin-phonon interactions on the kagome lattice: Dirac spin liquid versus valence-bond solids
• Spin-Peierls instability of deconfined quantum critical points

Cited by in corpus (1)

• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality