The effect of a single static impurity on the many-body states and on the spin and thermal transport in the one-dimensional anisotropic Heisenberg chain at finite temperatures is studied. Whereas the pure Heisenberg model reveals Poisson level statistics and dissipationless transport due to integrability, we show using the numerical approach that a single impurity induces Wigner-Dyson level statistics and at high enough temperature incoherent transport within the chain, whereby the relaxation time and dc conductivity scale linearly with length.The effect of a single static impurity on the many-body states and on the spin and thermal transport in the one-dimensional anisotropic Heisenberg chain at finite temperatures is studied. Whereas the pure Heisenberg model reveals Poisson level statistics and dissipationless transport due to integrability, we show using the numerical approach that a single impurity induces Wigner-Dyson level statistics and at high enough temperature incoherent transport within the chain, whereby the relaxation time and dc conductivity scale linearly with length.

arXiv:0901.4487Physical Review BSep 18, 200944 citations

Anomalous transport in spin chains

Vipin Kerala Varma, Vadim Oganesyan, Antonello Scardicchio +2 more

Bulletin of the American Physical SocietyMar 9, 20180 citations

Transport properties of a spin- 12 Heisenberg chain with an embedded spin- S impurity

Alexandros Metavitsiadis

The finite-temperature transport properties of a spin- $\frac{1}{2}$ anisotropic Heisenberg chain with an embedded spin- $S$ impurity are studied. Using primarily numerical diagonalization techniques, we study the dependence of the dynamical spin and thermal conductivities on the lattice size, the magnitude of the impurity spin, the host-impurity coupling, the easy axis anisotropy, as well as the dependence on temperature. Particularly for the temperature dependence, we discuss the screening of the impurity by the chain eventually leading to the cutting or healing of the host chain. Numerical results are supported by analytical arguments obtained in the strong host-impurity coupling regime.The finite-temperature transport properties of a spin-$\frac{1}{2}$ anisotropic Heisenberg chain with an embedded spin-$S$ impurity are studied. Using primarily numerical diagonalization techniques, we study the dependence of the dynamical spin and thermal conductivities on the lattice size, the magnitude of the impurity spin, the host-impurity coupling, the easy axis anisotropy, as well as the dependence on temperature. Particularly for the temperature dependence, we discuss the screening of the impurity by the chain eventually leading to the cutting or healing of the host chain. Numerical results are supported by analytical arguments obtained in the strong host-impurity coupling regime.

arXiv:1008.1524Physical Review BFeb 9, 20113 citations

The finite-temperature transport properties of a spin-

\frac{1}{2}

anisotropic Heisenberg chain with an embedded spin-

S

impurity are studied. Using primarily numerical diagonalization techniques, we study the dependence of the dynamical spin and thermal conductivities on the lattice size, the magnitude of the impurity spin, the host-impurity coupling, the easy axis anisotropy, as well as the dependence on temperature. Particularly for the temperature dependence, we discuss the screening of the impurity by the chain eventually leading to the cutting or healing of the host chain. Numerical results are supported by analytical arguments obtained in the strong host-impurity coupling regime.