The chiral symplectic universality class

TL;DR

This paper numerically investigates localization properties in an SU(2) model, revealing critical states at the band center due to chiral symmetry and metallic behavior elsewhere, highlighting the role of symplectic symmetry.

Contribution

It demonstrates the criticality of states at the band center in a chiral symmetric SU(2) model through numerical analysis, emphasizing the impact of chiral and symplectic symmetries.

Findings

States at the band center are critical.

States away from the band center are metallic.

Chiral symmetry influences localization properties.

Abstract

We report a numerical investigation of localization in the SU(2) model without diagonal disorder. At the band center, chiral symmetry plays an important role. Our results indicate that states at the band center are critical. States away from the band center but not too close to the edge of the spectrum are metallic as expected for Hamiltonians with symplectic symmetry.