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Scars in Dirac fermion systems: the influence of an Aharonov--Bohm flux
Time-reversal (-) symmetry is fundamental to many physical
processes. Typically, -breaking for microscopic processes requires
the presence of magnetic field. However, for 2D massless Dirac billiards,
-symmetry is broken automatically by the mass confinement, leading
to chiral quantum scars. In this paper, we investigate the mechanism of
-breaking by analyzing the local current of the scarring
eigenstates and their magnetic response to an Aharonov--Bohm flux. Our results
unveil the complete understanding of the subtle -breaking
phenomena from both the semiclassical formula of chiral scars and the
microscopic current and spin reflection at the boundaries, leading to a
controlling scheme to change the chirality of the relativistic quantum scars.
Our findings not only have significant implications on the transport behavior
and spin textures of the relativistic pseudoparticles, but also add basic
knowledge to relativistic quantum chaos.Comment: 37 pages, 11 figure
A robust relativistic quantum two-level system with edge-dependent currents and spin polarization
This work was supported by AFOSR under Grant No. FA9550-15-1-0151. LH was supported by NSFC under Grant No. 11422541.Peer reviewedPostprin
Universal flux-fluctuation law in small systems
We thank Dr. DeMenezes for providing the microchip data. This work was partially supported by the NSF of China under Grant Nos. 11135001, 11275003. Y.C.L. was supported by ARO under Grant No. W911NF-14-1-0504.Peer reviewedPublisher PD
Superpersistent currents and whispering gallery modes in relativistic quantum chaotic systems
Acknowledgements This work was supported by AFOSR under Grant No. FA9550-12-1-0095 and by ONR under Grant No. N00014-08-1-0627. LH was supported by the NSF of China under Grant No. 11422541Peer reviewedPublisher PD
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