Related Experiment Video
Updated: Jul 11, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Topological delocalization of two-dimensional massless Dirac fermions
Kentaro Nomura1, Mikito Koshino, Shinsei Ryu
1Department of Physics, Tohoku University, Sendai, Japan.
Abstract:
The beta function of a two-dimensional massless Dirac Hamiltonian subject to a random scalar potential, which, e.g., underlies theoretical descriptions of graphene, is computed numerically. Although it belongs to, from a symmetry standpoint, the two-dimensional symplectic class, the beta function monotonically increases with decreasing conductance. We also provide an argument based on the spectral flows under twisting boundary conditions, which shows that none of the states of the massless Dirac Hamiltonian can be localized.
More Related Videos
Related Concept Videos
The Pauli Exclusion Principle
Reduced Mass Coordinates: Isolated Two-body Problem
Second Uniqueness Theorem
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
Valence Bond Theory
First Law: Particles in Two-dimensional Equilibrium
Newton's first law tells us about the...
Atomic Nuclei: Nuclear Spin State Overview

