Topological Response for Majorana Fermions on the Boundary of Topological Superconductors

The Goldstone-Wilczek formula describes the topological response in (1+1) D fermionic systems, and was generalized to higher dimensions. We study the topological response of Majorana fermions on the boundary of topological superconductors. In particular analogues of soliton charge and charge pumping are discussed for Majorana fermions in the absence of U(1) charge conservation. The implication on thermal transport is also discussed in this work.