Finite-size scaling analysis of the Planck's quantum-driven integer quantum Hall transition in spin-1/2 kicked rotor model

doi:10.7523/j.ucas.2022.003

Journal of University of Chinese Academy of Sciences ›› 2022, Vol. 39 ›› Issue (4): 561-566.DOI: 10.7523/j.ucas.2022.003

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Finite-size scaling analysis of the Planck's quantum-driven integer quantum Hall transition in spin-1/2 kicked rotor model

ZHANG Jialong, ZHANG Long, ZHANG Fuchun

Kavli Institute for Theoretical Sciences and CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China

Received:2021-11-30 Revised:2022-01-06 Online:2022-07-15
Supported by:
Supported by the National Key R&D Program of China (2018YFA0305800), the National Natural Science Foundation of China (11804337 and 12174387), the Strategic Priority Research Program of CAS (XDB28000000), and the CAS Youth Innovation Promotion Association

Abstract

Abstract: 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.

Key words: quantum kicked rotor, integer quantum Hall effect, critical phenomena, finite-size scaling

CLC Number:

O413.3

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.

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Finite-size scaling analysis of the Planck's quantum-driven integer quantum Hall transition in spin-1/2 kicked rotor model

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