Condensed Matter Seminar

September 22 2016

G126 Noon

 

R. Shankar

Yale University

 

Equality of certain bulk wave functions and edge correlations in d=2 and 3

 

Abstract

In this work with Ashvin Vishwanath we show that there are some systems for which the non-relativistic electronic wave functions in the bulk equal the correlation functions of the relativistic Euclidean Majorana theory of the edge. The results are based on approximate Lorentz (and not conformal) invariance and not limited to d=2. We give examples in 1, 2 and 3 dimensions.