Spin transport properties of the quantum one-dimensional non-linear sigma model : an application to Haldane gap systems

Abstract

Spin transport properties of the quantum one-dimensional non-linear sigma model are studied based upon the Bethe ansatz exact solution for the O(3) sigma model and the 1/N-expansion approach for the O(N) sigma model. It is shown that the spin transport at finite temperatures is ballistic and there is no spin diffusion in this system. A possible mechanism for the spin diffusion observed in the NMR experiment of the Haldane gap system AgVP_2S_6 by Takigawa et al. [Phys. Rev. Lett.{\bf 76}, 2173 (1996)] is also discussed. The inclusion of the spin-phonon interaction accounts for the experimental results qualitatively.

10 pages, 2 figures, to appear in J. Phys. Soc. Jpn

References in corpus (3)

• Exact Drude weight for the one-dimensional Hubbard model at finite temperatures
• Spin diffusion and the spin 1/2 XXZ chain at $T=\infty$ from exact diagonalization
• Intermediate temperature dynamics of one-dimensional Heisenberg antiferromagnets

Cited by in corpus (24)

• Microscopic origin of ideal conductivity in integrable quantum models
• Conservation laws, integrability and transport in one-dimensional quantum systems
• Superdiffusion in spin chains
• Anomalous spin diffusion in one-dimensional antiferromagnets
• Superuniversality of superdiffusion
• Universal relaxational dynamics of gapped one dimensional models in the quantum sine-Gordon universality class
• Haldane Gapped Spin Chains: Exact Low Temperature Expansions of Correlation Functions
• Anomalous scaling of conductivity in integrable fermion systems
• Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension
• Non-dissipative thermal transport in the massive regimes of the XXZ chain
• Quasi-local conserved charges and spin transport in spin-$1$ integrable chains
• Comment on "Spin Transport properties of the quantum one-dimensional non-linear sigma model"
• Diffusive transport in spin-1 chains at high temperatures
• Diffusive energy transport in the S=1 Haldane chain compound AgVP2S6
• Quantum quench spectroscopy of a Luttinger liquid: Ultrarelativistic density wave dynamics due to fractionalization in an XXZ chain
• Semiclassical theory of front propagation and front equilibration following an inhomogeneous quantum quench
• Magnetization dynamics in clean and disordered spin-1 XXZ chains
• NMR relaxation in the spin-1 Heisenberg chain
• Effects of anisotropic spin-exchange interactions in spin ladders
• Undular diffusion in nonlinear sigma models
• Spin Transport Properties in Heisenberg Antiferromagnetic Spin Chains: Spin Current induced by Twisted Boundary Magnetic Fields
• Low-temperature heat transport of spin-gapped quantum magnets
• Nuclear Magnetic Relaxation in the Haldane-Gap Antiferromagnet Ni(C_2_H_8_N_2_)_2_NO_2_(ClO_4_)
• Large magnetic heat transport in a Haldane chain material Ni(C$_3H_{10}N_2)_2NO_2ClO_4