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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 Chioncel^1,3 — 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