Phonon Hall viscosity from phonon-spinon interactions

Abstract

Motivated by experimental observations, Samajdar et al. [Nature Physics 15, 1290 (2019)] have proposed that the insulating Neel state in the parent compounds of the cuprates is proximate to a quantum phase transition to a state in which Neel order coexists with semion topological order. We study the manner in which proximity to this transition can make the phonons chiral, by inducing a significant phonon Hall viscosity. We describe the spinon-phonon coupling in a lattice spinon model coupled to a strain field, and also using a general continuum theory constrained only by symmetry. We find a nonanalytic Hall viscosity across the transition, with a divergent second derivative at zero temperature.

arXiv comment21 pages, 7 figures

References in corpus (70)

• The electronic properties of graphene
• Anyons in an exactly solved model and beyond
• Quantum Spin Liquids
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Quantum Spin Liquids
• Quantum Orders and Symmetric Spin Liquids
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Viscosity of Quantum Hall Fluids
• Deconfined quantum critical points: symmetries and dualities
• Topological Nature of the Phonon Hall Effect
• On the stability of U(1) spin liquids in two dimensions
• Properties of an algebraic spin liquid on the kagome lattice
• Hall Viscosity and Electromagnetic Response
• Symmetry-based approach to electron-phonon interactions in graphene
• Algebraic spin liquid as the mother of many competing orders
• Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
• Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• Topological characterization of fractional quantum Hall ground states from microscopic Hamiltonians
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Theory of resonant multiphonon Raman scattering in graphene
• Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States
• Berry Curvature and Phonon Hall Effect
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Torsional Anomalies, Hall Viscosity, and Bulk-boundary Correspondence in Topological States
• Phonons become chiral in the pseudogap phase of cuprates
• Torsional Response and Dissipationless Viscosity in Topological Insulators
• Fractionalization in the cuprates: Detecting the topological order
• Sample dependence of the half-integer quantized thermal Hall effect in the Kitaev candidate $\alpha$-RuCl${}_3$
• Chiral Spin Liquid and Quantum Criticality in Extended $S=1/2$ Heisenberg Models on the Triangular Lattice
• Odd viscosity in two-dimensional incompressible fluids
• Quantization of the thermal Hall conductivity at small Hall angles
• Finite field regime for a quantum spin liquid in $\alpha$-RuCl${}_3$
• Approximately quantized thermal Hall effect of chiral liquids coupled to phonons
• Momentum polarization: an entanglement measure of topological spin and chiral central charge
• Global phase diagram and quantum spin liquids in spin-1/2 triangular antiferromagnet
• Projective symmetry group classification of chiral spin liquids
• Fractional quantum Hall states in lattices: Local models and physical implementation
• Large-$U$ limit of a Hubbard model in a magnetic field: chiral spin interactions and paramagnetism
• Distinct Spin Liquids and their Transitions in Spin-1/2 XXZ Kagome Antiferromagnets
• Large Thermal Hall Effect in $\alpha$-RuCl${}_3$: Evidence for Heat Transport by Kitaev-Heisenberg Paramagnons
• SU(2) gauge theory of the Hubbard model and application to the honeycomb lattice
• Geometry of Fractional Quantum Hall Fluids
• Viscoelastic response of topological tight-binding models in two and three dimensions
• Torsion, Parity-odd Response and Anomalies in Topological States
• Spin Wave Analysis of Low-Temperature Thermal Hall Effect in the Candidate Kitaev Spin Liquid $\alpha$-RuCl${}_3$
• Thermal Hall conductivity in the cuprate Mott insulators Nd${}_2$CuO${}_4$ and Sr${}_2$CuO${}_2$Cl${}_2$
• Enhanced thermal Hall effect in nearly ferroelectric insulators
• Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice
• Dissipationless Phonon Hall Viscosity
• Phonon dynamics in the Kitaev spin liquid
• Enhanced thermal Hall effect in the square-lattice Néel state
• Guiding-center Hall viscosity and intrinsic dipole moment along edges of incompressible fractional quantum Hall fluids
• Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
• Landau levels of Majorana fermions in a spin liquid
• Detection and characterization of symmetry-broken long-range orders in the spin-$\frac{1}{2}$ triangular Heisenberg model
• Consideration of Thermal Hall Effect in Undoped Cuprates
• Extrinsic phonon thermal Hall transport from Hall viscosity
• Bulk angular momentum and Hall viscosity in chiral superconductors
• Orbital currents in insulating and doped antiferromagnets
• Single-layer tensor network study of the Heisenberg model with chiral interactions on a kagome lattice
• Gauge Theories for the Thermal Hall Effect
• Spinon-Phonon Interaction in Algebraic Spin Liquids
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Hall Viscosity and the Acoustic Faraday Effect
• The thermal Hall conductance of two doped symmetry-breaking topological insulators
• Phonon Hall Viscosity in Magnetic Insulators

Cited by in corpus (16)

• Large Phonon Thermal Hall Conductivity in a Simple Antiferromagnetic Insulator
• Resonant thermal Hall effect of phonons coupled to dynamical defects
• Extrinsic phonon thermal Hall transport from Hall viscosity
• Phonon Thermal Hall Conductivity from Scattering with Collective Fluctuations
• Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations
• Impurity-induced phonon thermal Hall effect in the antiferromagnetic phase of Sr2IrO4
• Moiré phonons and impact of electronic symmetry breaking in twisted trilayer graphene
• Cubic Hall viscosity in three-dimensional topological semimetals
• Chiral spin liquid and quantum phase diagram of spin-$1/2$ $J_1$-$J_2$-$J_{\chi }$ model on the square lattice
• Phonon thermal Hall effect in charge-compensated topological insulators
• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• Phonon thermal Hall effect in non-magnetic Y${}_2$Ti${}_2$O${}_7$
• Role of magnetic ions in the thermal Hall effect of the paramagnetic insulator TmVO${}_4$
• Phonon Thermal Hall Effect in a non-Kramers Paramagnet
• Intrinsic thermal Hall effect of optical phonons enhanced by discrete rotational symmetry
• Phonon anomalies and critical scaling in the spin-$1/2$ trimer chain Na${}_2$Cu${}_3$Ge${}_4$O${}_{12}$