Anomalous Anderson localization behaviors in disordered pseudospin systems.

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics
• Disordered Systems

Background:

• Anderson localization describes wave function confinement in disordered media.
• Pseudospin systems, particularly pseudospin-1, possess unique electronic properties like conical band structures.
• Conventional disordered systems show standard localization behaviors.

Purpose of the Study:

• To investigate the Anderson localization phenomena in one-dimensional (1D) disordered pseudospin systems.
• To differentiate the localization behaviors of pseudospin-1 and pseudospin-1/2 systems.
• To analyze the impact of random potential strength and incident angle on localization length.

Main Methods:

• Theoretical analysis of wave propagation in a 1D disordered potential.
• Investigation of pseudospin-1 and pseudospin-1/2 systems.
• Examination of localization length dependence on random potential strength and incident angle.

Main Results:

• Pseudospin-1 systems show unique localization: length decreases with disorder, then abruptly increases after a critical random potential strength.
• A sharp transition in localization length at [Formula: see text] is observed for pseudospin-1 systems due to evanescent waves.
• Pseudospin-1/2 systems exhibit a smooth transition in localization length as disorder increases.

Conclusions:

• Anderson localization in pseudospin-1 systems deviates significantly from conventional systems.
• The critical random potential strength ([Formula: see text]) and incident angle play crucial roles in determining localization behaviors.
• Evanescent wave emergence at [Formula: see text] causes the abrupt transition in pseudospin-1 systems, a novel finding.