The wave-particle duality of electron in one-dimensional random potential model with long-range hopping*

Abstract

Abstract: The wave-particle duality is a basic concept in quantum mechanics and Anderson localization is an important phenomenon in condensed matter physics. Inspired by the wave-particle duality of photon in a two-arm interferometer, distinguishability D and visibility V are explored for an electron in one-dimensional random potential model with long-range hopping. We find that is less than, equal to, and greater than for delocalized, critical, and localized states, respectively. In this sense, the Anderson transition can be viewed as a transition from relatively more particle-like behavior to relatively more wavelike ones. This research gives a novel view to understand the wave-particle duality and Anderson localization.

Key words: quantum physics, wave-particle duality, direct diagonalization method, random potential model with long-range hopping

HUANG Xin1,FANG Hui1,HUO Yizhi1,GONG Longyan1,2. The wave-particle duality of electron in one-dimensional random potential model with long-range hopping*[J]. Chinese Journal of Quantum Electronics.

References

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