Marko Medenjak (Author), C. Karrasch (Author), Tomaž Prosen (Author)

Abstract

We establish a general connection between ballistic and diffusive transport in systems where the ballistic contribution in the canonical ensemble vanishes. A lower bound on the Green-Kubo diffusion constant is derived in terms of the curvature of the ideal transport coefficient, the Drude weight, with respect to the filling parameter. As an application, we explicitly determine the lower bound on the high-temperature diffusion constant in the anisotropic spin-1/2 Heisenberg chain for anisotropy parameters Δ≥1, thus, settling the question of whether or not the transport is subdiffusive. Additionally, the lower bound is shown to saturate the diffusion constant for a certain classical integrable model.

Keywords

statistična fizika;statistical physics;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
Publisher: American Physical Society
UDC: 536.9
COBISS: 3177828 Link will open in a new window
ISSN: 0031-9007
Views: 1001
Downloads: 691
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Other data

Secondary language: Slovenian
Secondary keywords: statistična fizika;
Pages: str. 080602-1-080602-5
Volume: ǂVol. ǂ119
Issue: ǂiss. ǂ8
Chronology: 2017
DOI: 10.1103/PhysRevLett.119.080602
ID: 10915629