Topological Insulators and Superconductors a transport view

Speaker
David Schmeltzer
Date
02/10/2014 - 16:30 - 15:30Add to Calendar 2014-10-02 15:30:00 2014-10-02 16:30:00 Topological Insulators and Superconductors a transport view  In  order to compute physical properties in a crystal we need to transport spinors in the Brilouine Zone. This is done with the help of the connection and curvature of the crystal space.Using symmetries such as Time rversal ,Inversion and Charge conjugation we can decide if the system is topological or trivial. Insulators with an inverted band are topological.The boundary of such a crystal is metallic and chiral.     In the presence of disorder the "connections" give rise to a \pi Berry phase. As a result the system remains metallic in two dimensions.     In the presence of an attractive interaction one obtains superconductivity. Due to the \pi Berry phase the vortices are half vortices named Majorana Fermions. We analyze the finger print of such a Topological Superconductor. We couple metallic leads and compute the Andreev Crossed reflection (which is different from the regular Andreev reflection). We compute different cases a)Single vortex b) two vortices c) Coupled mettalic rings pierced by flux( Persistent -current). Reznik (bld 209), seminar room המחלקה לפיזיקה physics.dept@mail.biu.ac.il Asia/Jerusalem public
Place
Reznik (bld 209), seminar room
Abstract

 In  order to compute physical properties in a crystal we need to transport spinors in the Brilouine Zone.

This is done with the help of the connection and curvature of the crystal space.Using symmetries such as Time rversal ,Inversion and Charge conjugation we can decide if the system is topological or trivial.

Insulators with an inverted band are topological.The boundary of such a crystal is metallic and chiral.

 

 

In the presence of disorder the "connections" give rise to a \pi Berry phase.

As a result the system remains metallic in two dimensions.

 

 

In the presence of an attractive interaction one obtains superconductivity. Due to the \pi Berry phase the vortices are half vortices named Majorana Fermions.

We analyze the finger print of such a Topological Superconductor. We couple metallic leads and compute the Andreev Crossed reflection (which is different from the regular Andreev reflection).

We compute different cases a)Single vortex b) two vortices

c) Coupled mettalic rings pierced by flux( Persistent -current).

תאריך עדכון אחרון : 05/12/2022