Related Experiment Video
Updated: Jun 22, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Lattice model of a three-dimensional topological singlet superconductor with time-reversal symmetry
Andreas P Schnyder1, Shinsei Ryu, Andreas W W Ludwig
1Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA.
Abstract:
We study topological phases of time-reversal invariant singlet superconductors in three spatial dimensions. In these systems the topological phases are characterized by an even-numbered winding number nu. At the surface the topological properties of this quantum state manifest themselves through the presence of nu flavors of gapless Dirac fermion surface states, which are robust against localization from random impurities. We construct a lattice tight-binding model that realizes a topologically nontrivial phase, in which nu=+/-2. Disorder corresponds to a (nonlocalizing) random SU(2) gauge potential for the surface Dirac fermions, leading to a power-law density of states rho() approximately ;{1/7}. The bulk effective field theory is proposed to be the (3+1)-dimensional SU(2) Yang-Mills theory with a theta term at theta=pi.
More Related Videos
Related Concept Videos
Bewley Lattice Diagram
Trends in Lattice Energy: Ion Size and Charge
Lattice Centering and Coordination Number
Types of Unit Cells
Imagine taking a large number of identical...
Superconductor
Theory of Metallic Conduction
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
Structures of Solids

