Comment on "Spin Transport properties of the quantum one-dimensional non-linear sigma model"

Abstract

In a recent preprint (cond-mat/9905415), Fujimoto has used the Bethe ansatz to compute the finite temperature, zero frequency Drude weight of spin transport in the quantum O(3) non-linear sigma model in a magnetic field $H\ne 0$. We show here that, contrary to his claims, the results are in accord with earlier semiclassical results (Sachdev and Damle, cond-mat/9610115). We also comment on his 1/N expansion, and show that it does not properly describe the long-time correlations.

4 pages

References in corpus (2)

• Spin transport properties of the quantum one-dimensional non-linear sigma model : an application to Haldane gap systems
• Intermediate temperature dynamics of one-dimensional Heisenberg antiferromagnets

Cited by in corpus (41)

• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• An RVB phase in the triangular lattice quantum dimer model
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Finite-temperature transport in one-dimensional quantum lattice models
• Ising models of quantum frustration
• Short-ranged RVB physics, quantum dimer models and Ising gauge theories
• Prediction of Toric Code Topological Order from Rydberg Blockade
• Three dimensional resonating valence bond liquids and their excitations
• Putting competing orders in their place near the Mott transition
• Exotic order in simple models of bosonic systems
• Anomalous spin diffusion in one-dimensional antiferromagnets
• Global phase diagrams of frustrated quantum antiferromagnets in two dimensions: doubled Chern-Simons theory
• Quantum Phases of the Shastry-Sutherland Antiferromagnet
• Microscopic models for fractionalized phases in strongly correlated systems
• Haldane Gapped Spin Chains: Exact Low Temperature Expansions of Correlation Functions
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Quantum Confinement Transition in a d-wave Superconductor
• Superconducting d-wave stripes in cuprates: Valence bond order coexisting with nodal quasiparticles
• Emergent ${\mathbb{Z}}_2$ gauge theories and topological excitations in Rydberg atom arrays
• Correlations and confinement in non-planar two-dimensional dimer models
• Haldane-Gapped Spin Chains as Luttinger Liquids: Correlation Functions at Finite Field
• Non-dissipative thermal transport in the massive regimes of the XXZ chain
• Competing orders II: the doped quantum dimer model
• Spinons in a Crossed-Chains Model of a 2D Spin Liquid
• Quantum Dimer Model on the triangular lattice: Semiclassical and variational approaches to vison dispersion and condensation
• Theory of the Kagome Lattice Ising Antiferromagnet in Weak Transverse Field
• Schwinger boson spin liquid states on square lattice
• Fractionalization patterns in strongly correlated electron systems: Spin-charge separation and beyond
• Crystallization of the resonating valence bond liquid as vortex condensation
• Bosonic model with $Z_3$ fractionalization
• Spin density wave order, topological order, and Fermi surface reconstruction
• Semiclassical degeneracies and ordering for highly frustrated magnets in a field
• Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
• Quantum magnets with weakly confined spinons: Multiple length scales and quantum impurities
• Disordered, Spin Liquid and Valence-Bond Ordered Phases of the Kagome Lattice Quantum Ising Models With Transverse Field and XXZ Dynamics
• Topological orders of monopoles and hedgehogs: From electronic and magnetic spin-orbit coupling to quarks
• Classical vertex model dualities in a family of 2D frustrated quantum antiferromagnets
• Nuclear Magnetic Relaxation in the Haldane-Gap Antiferromagnet Ni(C_2_H_8_N_2_)_2_NO_2_(ClO_4_)
• Crystalline invariants of fractional Chern insulators
• Sign-problem-free effective models of triangular lattice quantum antiferromagnets
• Emergent Kalb-Ramond fields from a dimer model