1. Hall quantization and optical conductivity evolution with variable Berry phase in the α-T3 model.
- Author
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Illes, E., Carbotte, J. P., and Nicol, E. J.
- Subjects
- *
HALL effect , *QUANTIZATION (Physics) , *OPTICAL conductivity , *GEOMETRIC quantum phases , *SCATTERING (Physics) - Abstract
The α-T3 model is characterized by a variable Berry phase that changes continuously from π to 0. We take advantage of this property to highlight the effects of this underlying geometrical phase on a number of physical quantities. The Hall quantization of the two limiting cases is dramatically different: a relativistic series is associated with a Berry phase of it, and a nonrelativistic series is associated with the other limit. We study the quantization of the Hall plateaus as they continuously evolve from a relativistic to a nonrelativistic regime. Additionally, we describe two physical quantities that retain knowledge of the Berry phase in the absence of a motion-inducing magnetic field. The variable Berry phase of the α-T3 model allows us to explicitly describe the Berry phase dependence of the dynamical longitudinal optical conductivity and of the angular scattering probability. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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