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  • Letter

Relativistic quantum antiscars in electrostatically defined graphene quantum dots

Yu-Chen Zhuang, Yue Mao, and Qing-Feng Sun*

  • *Contact author: sunqf@pku.edu.cn

Phys. Rev. B 114, L111407 – Published 10 August, 2026

DOI: https://doi.org/10.1103/wl1m-s2y9

Abstract

Quantum antiscars characterized by the reduced wavefunction probability density along unstable periodic orbits have been a long-sought subject in the field of quantum chaos. In view of the antiresonance origin, an explicit spatial visualization of quantum antiscars at a single energy level remains still scarce in either theoretical proposals or experimental methods. Here we propose that antiscars can be directly visualized in energy-fixed local density of states (LDOS) spatial maps of electrostatically defined graphene quantum dots (GQDs), as a result of the leakage induced by Klein tunneling. Through systematic numerical simulations, quantum scars and antiscars are demonstrated to alternate between peaks and dips of the LDOS-energy spectrum, collectively following a relativistic equidistant recurrence. A mutual conversion between scars and antiscars can be also achieved by tuning an external magnetic flux. Our work opens horizons for understanding, detecting, and utilizing scarring and antiscarring phenomena in open quantum chaotic systems.

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