Dublin Institute for Advanced Studies contact@dias.ie 00353 (0) 16140100

Tuesday 14th March: STP Seminar – “Gaussian free fields at the integer quantum Hall plateau transition”

Title: Gaussian free fields at the integer quantum Hall plateau transition.

Speaker: Roberto Bondesan (Oxford).

Abstract: The transition between Hall conductance plateaus of the integer quantum Hall effect stands out as a possible paradigm for quantum phase transitions of Anderson-localization type. Yet, in spite of numerous efforts and a renewed interest coming from the expanding field of topological phases, understanding this transition has so far defied an analytical solution by the methods of conformal field theory and/or the theory of integrable systems.

In this talk I will review our approach based on a supersymmetric vertex model and the construction of conformal primary fields on the lattice from highest weight vectors of the vertex model in the presence of point contacts. The outcome of the analysis will be an effective free field description of critical wave intensities leading to a parabolic multifractality spectrum.

Time: Tuesday 14th March 2017, 2.30pm.

Place: Lecture Room, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4.