The quantum kicked rotor (QKR) model is a prototypical system in the research of quantum chaos. In a spin-1/2 QKR, tuning the effective Planck parameter realizes a series of transitions between dynamical localization phases, which closely resembles the integer quantum Hall (IQH) effect and the plateau transitions. In this work, we devise and apply the finite-size scaling analysis to the transitions in the spin-1/2 QKR model. We obtain an estimate of the critical exponent at the transition point, ν=2. 62(9), which is consistent with the IQH plateau transition universality class.
ZHANG Jialong
,
ZHANG Long
,
ZHANG Fuchun
. Finite-size scaling analysis of the Planck's quantum-driven integer quantum Hall transition in spin-1/2 kicked rotor model[J]. Journal of University of Chinese Academy of Sciences, 2022
, 39(4)
: 561
-566
.
DOI: 10.7523/j.ucas.2022.003
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