Lower bounding diffusion constant by the curvature of Drude weight

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

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.

• Jezik: Angleški jezik
• Ključne besede: statistical physics
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Založnik: American Physical Society
• Leto izida: 2017
• Št. strani: Str. 080602-1-080602-5
• Številčenje: Vol. 119, iss. 8
• PID: 20.500.12556/RUL-100069
• UDK: 536.9
• ISSN pri članku: 0031-9007
• DOI: 10.1103/PhysRevLett.119.080602
• COBISS.SI-ID: 3177828

Avtorske pravice

American Physical Society

• Datum objave v RUL: 02.03.2018

MEDENJAK, Marko, KARRASCH, Christoph in PROSEN, Tomaž, 2017, Lower bounding diffusion constant by the curvature of Drude weight. Physical review letters [na spletu]. 2017. Vol. 119, no. 8, p. 080602-1- 080602–5. [Dostopano 4 april 2025]. DOI 10.1103/PhysRevLett.119.080602. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=100069

Gradivo je del revije

• Naslov: Physical review letters
• Skrajšan naslov: Phys. rev. lett.
• Založnik: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: statistična fizika

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open many-body non-equilibrium systems
• Akronim: OMNES