Magnon Heat Conductivity and Mean Free Paths in Two-Leg Spin Ladders: A Model-Independent Determination

Abstract

The magnon thermal conductivity ${\kappa }_{\mathrm{mag}}$ of the spin ladders in $\mathrm{S}{\mathrm{r}}_{14}\mathrm{C}{\mathrm{u}}_{24-\mathrm{x}}\mathrm{Z}{\mathrm{n}}_{\mathrm{x}}{\mathrm{O}}_{41}$ has been investigated at low doping levels $x=0$, 0.125, 0.25, 0.5 and 0.75. The Zn-impurities generate nonmagnetic defects which define an upper limit for $l_{\mathrm{mag}}$ and therefore allow a clear-cut relation between $l_{\mathrm{mag}}$ and ${\kappa }_{\mathrm{mag}}$ to be established independently of any model. Over a large temperature range we observe a progressive suppression of ${\kappa }_{\mathrm{mag}}$ with increasing Zn-content and find in particular that with respect to pure $\mathrm{S}{\mathrm{r}}_{14}\mathrm{C}{\mathrm{u}}_{24}{\mathrm{O}}_{41}$ ${\kappa }_{\mathrm{mag}}$ is strongly suppressed even in the case of tiny impurity densities where $l_{\mathrm{mag}}\lesssim 374$~Å. This shows unambiguously that large $l_{\mathrm{mag}}\approx 3000$~Å which have been reported for $\mathrm{S}{\mathrm{r}}_{14}\mathrm{C}{\mathrm{u}}_{24}{\mathrm{O}}_{41}$ and $\mathrm{L}{\mathrm{a}}_5\mathrm{C}{\mathrm{a}}_9\mathrm{C}{\mathrm{u}}_{24}{\mathrm{O}}_{41}$ on basis of a kinetic model are in the correct order of magnitude.

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Cited by in corpus (17)

• Heat conduction in low-dimensional quantum magnets
• Thermal conductivity via magnetic excitations in spin-chain materials
• Ballistic heat transport of quantum spin excitations as seen in SrCuO2
• Magnetic heat conductivity in $\mathbf{CaC}{\mathbf{u}}_2{\mathbf{O}}_3$: linear temperature dependence
• Spin and thermal conductivity of quantum spin ladders
• Heat transport of cuprate-based low-dimensional quantum magnets with strong exchange coupling
• Spinon heat transport and spin-phonon interaction in the antiferromagnetic spin-1/2 Heisenberg chain cuprates Sr2CuO3 and SrCuO2
• Spinon localization in the heat transport of the spin-1/2 ladder compound (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$
• Bond disorder and breakdown of ballistic heat transport in the spin-1/2 antiferromagnetic Heisenberg chain as seen in Ca-doped SrCuO2
• Bond disorder and spinon heat transport in the $S=\frac{1}{2}$ Heisenberg spin chain compound Sr${}_2$CuO${}_3$: from clean to dirty limits
• Bond Randomness Induced Magnon Decoherence in a Spin-1/2 Ladder Compound
• Field-dependent spin and heat conductivities of dimerized spin-1/2 chains
• High-field ESR studies of the quantum spin magnet CaCu2O3
• Observation of the Thermal Conductivity due to Spins in the One-Dimensional Antiferromagnetic Ising-Like Spin System ACoX3 (A = Rb, Cs; X = Cl, Br)
• Thermal conductivity of anisotropic spin - 1/2 two leg ladder:Green's function approach
• Thermal drag in spin ladders coupled to phonons
• Heat conductivity of the spin-Peierls compounds TiOCl and TiOBr