Lower bounding diffusion constant by the curvature of Drude weight

Medenjak, Marko (author), Karrasch, Christoph (author), Prosen, Tomaž (author)

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.

• Language: English
• Keywords: statistical physics
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Publisher: American Physical Society
• Year: 2017
• Number of pages: Str. 080602-1-080602-5
• Numbering: Vol. 119, iss. 8
• PID: 20.500.12556/RUL-100069
• UDC: 536.9
• ISSN on article: 0031-9007
• DOI: 10.1103/PhysRevLett.119.080602
• COBISS.SI-ID: 3177828

Copyright

American Physical Society

• Publication date in RUL: 02.03.2018

Record is a part of a journal

• Title: Physical review letters
• Shortened title: Phys. rev. lett.
• Publisher: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Secondary language

• Language: Slovenian
• Keywords: statistična fizika

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open many-body non-equilibrium systems
• Acronym: OMNES