Transport properties of integrable quantum systems

Some of the most dramatic consequences of the interplay of reduced dimensionality and quantum e ects are observed in transport. Integrable models, which have an in finite number of local conservation laws, are expected to have particularly unusual transport properties. For the integrable spin-1/2 Heisenberg chain the energy current itself is conserved leading to an in finite heat conductance. The spin current operator, on the other hand, is not conserved, but is known to have a fi nite overlap with conserved charges leading to a nonzero spin Drude weight at fi nite temperatures. So far, however, a Mazur bound for the spin Drude weight based on these charges has only been obtained at infi nite temperatures.

The aim of this project is to extend these calculations to all temperatures and to obtain the full Drude weight based on functional equations for the energy level curvatures.

project_p8.txt ยท Last modified: 2015/10/26 16:58 by jesko
Recent changes RSS feed CC Attribution-Share Alike 4.0 International Donate Powered by PHP Valid XHTML 1.0 Valid CSS Driven by DokuWiki