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Chaos-based Berry phase detector

Cheng-Zhen Wang1, Chen-Di Han1, Hong-Ya Xu1, and Ying-Cheng Lai1,2,*

  • 1School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, Arizona 85287, USA
  • 2Department of Physics, Arizona State University, Tempe, Arizona 85287, USA

  • *ying-cheng.lai@asu.edu
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Phys. Rev. B 99, 144302 – Published 10 April, 2019

DOI: https://doi.org/10.1103/PhysRevB.99.144302

Abstract

The geometric or Berry phase, a characteristic of quasiparticles, is fundamental to the underlying quantum materials. The discoveries of new materials at a rapid pace nowadays call for efficient detection of the Berry phase. Utilizing the α−T3 lattice as a paradigm, we find that, in the Dirac electron optics regime, the semiclassical decay of the quasiparticles from a chaotic cavity can be effectively exploited for detecting the Berry phase. In particular, we demonstrate a one-to-one correspondence between the exponential decay rate and the geometric phase for the entire family of α−T3 materials. This chaos-based detection scheme represents an experimentally feasible way to assess the Berry phase and to distinguish the quasiparticles.

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Phys. Rev. B 99, 144302– Published 10 April, 2019
  • Received 12 December 2018
  • Revised 1 March 2019
Article part of CHORUS
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