20.500.12556/RUL-100069 Lower bounding diffusion constant by the curvature of Drude weight 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. statistical physics statistična fizika true false false American Physical Society Angleški jezik Slovenski jezik American Physical Society Neznano 2018-03-02 14:25:10 2018-03-02 14:25:11 2022-08-24 17:15:18 0000-00-00 00:00:00 2017 0 0 Str. 080602-1-080602-5 iss. 8 Vol. 119 2017 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 536.9 0031-9007 10.1103/PhysRevLett.119.080602 3177828 1282575 RAZ_Medenjak_Marko_i2017.pdf RAZ_Medenjak_Marko_i2017.pdf 1 79C25C571DC947E9E6B5E72892429959 d34c0ff0acbe00f2bba66d5347481f732b9b6d425d24b88dd60ff6caebbfdf7c 4bc16d32-a1b5-11eb-a523-00155dcfd717 20.500.12556/rul/da7aa70e-d379-4891-a102-c6e15ca2b7cd https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=111587 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.080602 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=109749 Fakulteta za matematiko in fiziko 0 0 0