Transport in one dimensional quantum systems

Abstract

In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the unconventional transport and dynamic - spin, electrical, thermal - properties implied by the integrability of models as the spin-1/2 Heisenberg chain or Hubbard. Furthermore, we address the implication of these developments to experimental studies and theoretical descriptions by low energy effective theories.

35 pages, 7 figures, to be published in "Interacting Electrons in Low Dimensions", book series "Physics and Chemistry of Materials with Low-Dimensional Structures", Kluwer Academic Publishers (2003)

Cited by in corpus (9)

• Matrix product solutions of boundary driven quantum chains
• Typicality approach to the optical conductivity in thermal and many-body localized phases
• Spin transport in the XXZ chain at finite temperature and momentum
• Anomalous heat transport in classical many-body systems: overview and perspectives
• Thermal Transport in a one-dimensional Z${}_2$ Spin Liquid
• Spin rectification in thermally driven XXZ spin chain via the spin-Seebeck effect
• The thermoelectric working fluid: thermodynamics and transport
• Coherent spin-current oscillations in transverse magnetic fields
• Fine structure of the nonlinear Drude weights in the spin-1/2 XXZ chain