University of Oxford
Threshold singularities in one-dimensional metals
The low-energy behaviour of generic critical one-dimensional quantum systems is usually described within the Luttinger liquid theory. It simplifies the real system by replacing the true energy-momentum relation for its particles by a linear one. Precisely because of band curvature effects Luttinger liquid theory - despite its remarkable success for thermodynamic properties - breaks down when we are interested in singularities in dynamical response functions. Recent developments using a mapping to a Luttinger liquid with an additional high frequency mobile impurity permit the description of effects due to the spectral nonlinearity. We give an introduction to the theory of nonlinear Luttinger liquids and present a constructive derivation of a mobile impurity model for spin-1/2 fermions.
SR 3, Institut für Theoretische Physik, A03.101
Prof. Motomu Tanaka
University of Heidelberg
What Shape and Motion Talk: Physics of Human Diseases
Diseases and development are highly complex, stochastic processes in nature. For example, the morphological dynamics of metastatic cancer cells during migration is highly stochastic. The combination of quantitative in vitro models, live cell imaging, and statistical physics gives us a powerful tool to experimentally unravel characteristic spatio-temporal information behind the stochastic noise, which is not accessible with phenomenological observation.