Regensburg 2025 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 35: Fluctuations, Noise and Other Transport Topics (joint session TT/DY)
DY 35.8: Vortrag
Donnerstag, 20. März 2025, 17:00–17:15, H31
Typical medium theory for disordered electronic systems on simple lattices with Cauchy distribution of on-site potentials — Andreas Ostlin1, Hanna Terletska2, Dylan Jones1, and •Liviu Chioncel1,3 — 1Institute of Physics, University of Augsburg, Augsburg, Germany — 2Middle Tennessee State University, Murfreesboro, Tennessee, USA — 3ACIT, University of Augsburg, Augsburg, Germany
Effective medium approaches using single-site averaging procedures of various kinds contributed substantially in understanding the density of states of electronically disordered systems in models and materials. The nature and the conditions for appearance of single-particle (Anderson) localization seems to be qualitatively understood, yet discussions concerning special applied methods and quantitative results for the critical conditions are still ongoing. Here we present results using the typical medium theory for the one-particle and two-particle Green’s function (conductivities) for the special case of Cauchy-distribution.
Keywords: single-particle (Andreson) localization; numerical methods