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Comparison of Two Different Synthesis Methods of Single Crystals of Superconducting Uranium Ditelluride

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Published on: July 8, 2021

Topological mirror superconductivity.

Fan Zhang¹, C L Kane, E J Mele

¹Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA. zhf@sas.upenn.edu

Physical Review Letters

|August 20, 2013

Summary

This summary is machine-generated.

We discovered topological superconductors protected by mirror and time-reversal symmetries. These crystalline materials have integer topological invariants that dictate Majorana mode distribution on boundaries.

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Area of Science:

Condensed Matter Physics
Topological Materials Science
Quantum Materials

Background:

Topological superconductors (SCs) are exotic quantum states with unique properties.
Symmetry protection is crucial for the stability of topological phases.
Understanding crystalline SCs and their boundary phenomena is an active research area.

Purpose of the Study:

To demonstrate the existence of topological superconductors protected by mirror and time-reversal symmetries.
To characterize D-dimensional crystalline SCs using integer topological invariants.
To investigate the distribution of Majorana modes on mirror-symmetric boundaries.

Main Methods:

Theoretical characterization of D-dimensional (D=1, 2, 3) crystalline superconductors.
Utilizing mirror Berry phases as integer topological invariants.
Developing representative models and suggesting experimental signatures.

Main Results:

Established that D-dimensional crystalline SCs are characterized by 2(D-1) independent integer topological invariants (mirror Berry phases).
Demonstrated that these invariants govern the placement of Majorana modes on mirror-symmetric boundaries.
Showed that the parity of the total mirror Berry phase acts as a Z(2) index for class DIII SCs.

Conclusions:

A DIII topological SC with a mirror line is necessarily a topological mirror SC.
A DIII SC with a mirror plane is time-reversal trivial but can be topologically non-trivial under mirror symmetry.
The findings pave the way for realizing and detecting novel topological SCs in feasible experimental systems.